5. In the circle, arc AD = 79, and

5. In The Circle, Arc AD = 79, And

Answers

Answer 1

Answer:34

Step-by-step explanation:

ad divided by 79=34


Related Questions

GOVERNMENT The Texa State Legilature i compried of tate enator and
tate repreentative. There i a greater number of repreentative than enator. The um of the number of repreentative and the number of enator i 181. The
difference of the number of repreentative and number of enator i 119. A. Write a ytem of equation to find the number of tate repreentative, r,
and enator,. B. How many enator and how many repreentative make up the Texa State
Legilature?

Answers

The system of equations is: r + s = 181 and r - s = 119. There are 31 state senators and 150 state representatives in the Texas State Legislature.

A. Let "r" be the number of state representatives and "s" be the number of state senators. We know from the problem that:

r + s = 181 (the sum of the number of representatives and senators is 181)

r - s = 119 (the difference of the number of representatives and senators is 119)

So the system of equations is:

r + s = 181

r - s = 119

B. To solve this system of equations, you can use the first equation to solve for one of the variables in terms of the other. Let's solve for "r" in terms of "s":

r = 181 - s

Now we can substitute this expression for "r" into the second equation:

(181 - s) - s = 119

Simplifying, we get:

181 - 2s = 119

2s = 62

s = 31

So there are 31 state senators in the Texas State Legislature. To find the number of representatives, we can use the first equation and substitute in the value of "s" that we just found:

r + 31 = 181

r = 150

So there are 150 state representatives in the Texas State Legislature.

Therefore, The system of equations is: r + s = 181 and r - s = 119. There are 31 state senators and 150 state representatives in the Texas State Legislature.

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solve for G.
-3g =57

Answers

Answer:

g = -19

Step-by-step explanation:

Given equation,

→ -3g = 57

Now the value of g will be,

→ -3g = 57

→ g = 57/-3

→ g = -(57/3)

→ [ g = -19 ]

Hence, the value of g is -19.

Answer:g=-19 I hope this helps

Step-by-step explanation:

-3g=57

Divide both sides of the equation by -3

-3g divide (-3)=57 divide (-3)

Any expression divided by itself equals 1

g=57 divide (-3) then you do

Dividing a positive and a negative equals a negative: (+) divide(-)=(-)

g=-57 divide 3

Next thing you do is

Calculate the quotient which something like this

g=-19

So you’re answer is g=-19

solve (x+1)(5x+6)=0
x=
or
x=

Answers

Answer:

x = - [tex]\frac{6}{5}[/tex] , x = - 1

Step-by-step explanation:

(x + 1)(5x + 6) = 0 ← in standard form

equate each factor to zero and solve for x

5x + 6 = 0 ( subtract 6 from both sides )

5x = - 6 ( divide both sides by 5 )

x = - [tex]\frac{6}{5}[/tex]

or

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

14 seats in 2 rows =
seats in 1 row

Answers

Answer: 7 seats in each row.

Step-by-step explanation:

14 / 2 = 7 seats in each row.

Show how to add the fractions 1/8 and 1/12 by using the LCM of 8 and 12 as the common denominator

(Quickly, and will give brainliest i to the best described one.)

Answers

Adding the fractions 1/8 and 1/12 by using the LCM of 8 and 12 as the common denominator exists 5/24.

What is meant by fractions?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

Let the fractions be 1/8 and 1/12

8 = 2 × 4

12 = 3 × 4

By using LCM, we get

[tex]$2 \times 3 \times 4=24 \quad\{L C M\}$[/tex]

= 1/8 + 1/12

simplifying the equation, we get

[tex]$=\frac{1 \times 3}{8 \times 3}+\frac{1 \times 2}{12 \times 2}$[/tex]

= 3/24 + 2/24

= 5/24

Therefore, adding the fractions 1/8 and 1/12 by using the LCM of 8 and 12 as the common denominator exists 5/24.

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Where do we use range () function give an example?.

Answers

The set of potential output values of a function is often referenced by the range () function.

A built-in Python function called range() can be used to produce a series of numbers. The range() function's parameters can be supplied by the user if they want to generate a series of numbers given the starting and ending values.

It can be used to generate a list of numbers or to iterate over a series of numbers in for loops.

For example, range(5) will generate a sequence of numbers from 0 to 4, and range(2, 5) will generate a sequence of numbers from 2 to 4.

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Pam worked as sale clerk is paid a basic rate of $3.75 during the rush Christmas Season.she works 6 hours overtime on Friday at time and quarter 8 hours overtime on Saturday at time and a half and 5 hours overtime on Sunday at double time..a)calculate Pam overtime wage for that week .b)Pam works a basic week of 40 hours calculate her basic wage.c)hence determine Pam gross wage for that week during Christmas

Answers

a)  Pam overtime wage for that week is 110.625

b) Pam works a basic week of 40 hours her basic wage is 150.

c)  Pam gross wage for that week during Christmas 114.375.

What is Basic wages?

An employee may not legally sell their labor for less than the minimum wage, which is the lowest compensation a business may pay their staff. By the turn of the 20th century, minimum wage laws were in place in the majority of nations.

What is Gross wages?

The total of the base salary, overtime compensation, commissions, bonuses, and other regular cash payments is referred to as the monthly gross wage. It does not include employer CPF contributions, bonuses, stock options, other lump sum payments, or payments-in-kind. It is prior to deducting employee CPF contributions and personal income tax.

Given that;

a)Calculation for  Pam overtime wage for that week ;

So, 25% of 3.75 = 0.9375

and add it to 3.75.

then 0.9375 + 3.75 = 4.6875

Since she worked 6 hours at that new wage,

then 6 x 4.6875 = 28.125

Now for 50% of 3.75 =1.875

and add it to 3.75

then  1.875 + 3.75 = 5.625

Since she worked 8 hours at that new wage,

then 8 x 5.625 = 45

She works double time, which means she receives two times her regular pay.

Since she worked five hours at the wage, double her basic wage by two and then by five.

then  2 x 3.75 x 5 = 37.5

So, Pam overtime wage for that week is ;

28.125 + 45 +  37.5 = 110.625

b) Pam works a basic week of 40 hours  her basic wage is ;

    40 x 3.75 = 150

c) Pam gross wage for that week during Christmas is ;

  total wages + overtime wages

⇒110.625 + 3.75 = 114.375

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I need to find the foci of this equation to answer my problem!

Answers

Correct option is A, The foci of the hyperbola is (0,±√17).

A hyperbola is a plane curve that is produced by a point that is moving so that the difference between the distances from two fixed points is constant. It is created when a double right circular cone intersects with a plane that cuts through both ends of the cone.

The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.

Given the equation of hyperbola is [tex]\frac{y^2}{12} - \frac{x^2}{5} = 1[/tex]

In this equation,

a² = 12

b² = 5

Using the relation c² = a² + b²

c = √(12 + 5)

c = √ 17

As, the hyperbola is vertical,

The value of foci will be (0,±√17)

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Lucy collects data from a random sample of seventh-graders. Out of 140 respondents, 28 attend after-school programs. Of the 400 seventh-graders attending Lucy’s school, how many would be expected to attend after school programs?

Answers

We would expect about 80 seventh-graders to attend after-school programs.

How to find the number expected to attend

To estimate the number of seventh-graders attending after-school programs, we can use the proportion of respondents who attend after-school programs from the sample:

28 out of 140 respondents attend after-school programs, which is a proportion of

= 28 / 140

= 0.2.

We can use this proportion to estimate the number of seventh-graders attending after-school programs in the entire population of 400 seventh-graders:

400 * 0.2 = 80

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The diagram shows two parallel lines cut by a transversal. One angle measure is shown.

Find the values of and .

Answers

The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

here, we have,

It is given that:

The diagram shows two parallel lines cut by a transversal.

As we know from the definition of the vertically opposite angles:

b = 54 degrees

a + c = 54 + b  (a = c)

2a = 54x2

a = 54 degrees

Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.

Similarly:

b = 54

c = 126

d = 54

e = 126

f = 54

g = 126

Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

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Help me to solve this question

Answers

The value of x is equal to 3 and the length of VS is 3.5 for the circle Z.

How to evaluate for the value of x and length VS in the circle

Since ZU and ZV is equal to 8, then QR is equal to ST and the radii ZY and ZW bisect ST and QR respectively.

we shall solve for x in the circle as follows:

QR = ST

4x - 5 = 7

4x = 7 + 5 {add 5 to both sides}

4x = 12

x = 12/4 {divide through by 4}

x = 3

The length VS = 7/2

VS = 3.5

Therefore, the value of x is equal to 3 and the length of VS is 3.5 for the circle Z.

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What is the inverse of 8?.

Answers

The inverse of 8 is 1/8.

The multiplicative inverse of a number for any n is simply 1/n. It is denoted as:

1/x (or) x⁻¹

It is also called the reciprocal of a number and 1 is called the multiplicative identity.

The reciprocal of a number obtained is such that when it is multiplied by the original number, the value equals identity 1.

There are a few steps to find the inverse of a number:

Write the number as the denominator of a fraction that has 1 as a numerator to find the reciprocal of an integer. Place a decimal number as the denominator of a fraction with 1 as the numerator, then divide to calculate the reciprocal of a decimal.Reverse the placement of the numerator and denominator for the reciprocal of a fraction.

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A chemist is using 389 milliliters of a solution of acid and water. If 18.6% of the solution is acid, how many milliliters of acid are there?

Answers

Step-by-step explanation:

for questions about % always find out first what 100% or what 1% are.

everything else can be calculated out of these 2 numbers.

in our case here

100% = 389 ml

1% = 100%/100 = 389/100 = 3.89 ml

18.6% = 18.6×1% = 18.6 × 3.89 = 72.354 ml

so, there are 72.354 ml of acid in the solution.

FYI

as you can see, we can combine both steps into one and do any of the following

18.6% = 18.6 × 100%/100 = 18.6 × 389/100 =

= (18.6/100) × 389 = 0.186 × 389

What are complex expressions?.

Answers

Complex numbers are those whose representation is given by the notation a+ib, where a, b are real numbers and I is a made-up expressions called a "iota." I'm equal to (-1).

If complex numbers are required to answer an equation, it is considered complex. Complex numbers are made up of both imaginary and real parts. This is how it is stated: The letters A and B in the preceding equation both represent numerical values. A complex number is something like 4+3i.

In order to attain vague goals that cannot be met through conventional actions, complex issue solving is a collection of self-regulated psychological processes and activities. It takes a variety of tactics and inventive knowledge combinations.

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John needs to paint one wall in his school. He knows that 11 can of paint covers an area of 22 square meters. John uses a meter stick to measure the dimensions of the wall as shown

Answers

The number of cans required for John to paint the wall is given by the equation A = 3.375 cans ≈ 4 cans

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the wall be A

Now , the area of wall A = area of rectangle + area of triangle

The side length of the rectangle = 3m

The width of the rectangle = 2 m

The height of the triangle = 1 m

The base of the triangle = 1.5 m

So , the area of the triangle = ( 1/2 ) x 1.5 x 1 = 0.75 m²

Now , the area of the rectangle = length x width

Area of the rectangle = 3 x 2 = 6 m²

So , the area of the figure = 6.75 m²

Now , 11 can of paint covers an area of 22 square meters

So , 1 square meters = 11/22 cans

1 square meters = 1/2 cans

And , the number of cans required for 6.75 m² of area = 6.75 ( 1/2 ) cans

The number of cans required for 6.75 m² of area = 3.375 cans

The number of cans required for 6.75 m² of area = 4 cans

Hence , the number of cans is 4 cans

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A rocket is launched upwards by physics students record a tight as a function of the time since it was launched. The rocket reaches a peak height of 112 feet at a time of 2.48 seconds. The rocket then falls and hits the ground 5.12 seconds after it was launched. find a model for the height of the rocket h(t) in vertex form. Round your value of a to the nearest tenth.

Answers

The height of the rocket 45.161 km.

How is the height in vertex form determined?

By adding a and b to h=-b2a, you may determine h, the x-coordinate of the vertex.

Determine k, the vertex's y-coordinate, by calculating k=f(h)=f(b2a).

According to the graph, the velocity first increases for 20 seconds before declining for 120 seconds before changing course.

Thus, it was at its highest peak at t=120 seconds.

Therefore, all that is left to do is figure out the triangle OAB's area at its highest point. This is 2 base + perpendicular = 2 120 * 1000 * 60 km.

The rocket reaches a peak height of 112 feet at a time of 2.48 seconds. The rocket then falls and hits the ground 5.12 seconds after it was launched.

According to the graph, the velocity first increases for 20 seconds before declining for 112 seconds before changing course.

Thus, it was at its highest peak at t = 112  

2.48 seconds.

Therefore, all that is left to do is figure out the triangle OAB's area at its highest point. This is 2 base + perpendicular =  112 * 1000 /2.48 = 45.161 km.

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Convert -5/8x + y = -1/4 to standard form.

Answers

5x-8y= 2
Hope this helps.

Step-by-step explanation:

-8(-5/8x + y = -1/4)

5x - 8y = 2 is the standard form

An airplane leaves a runway heading due east then turns 35 degrees to the right as shown in the figure. How much more will the airplane have to turn to be heading due south?

Answers

Answer:

Because the plane is flying due east, it has to turn 90º to face south, before it turns the extra 35.31º to fly towards the airport. 90° + 35.31° = 125.31º It actually turns through the exterior angle of the triangle :

Step-by-step explanation:

hope this helps B)

Answer:

  55°

Step-by-step explanation:

You want to know the additional angle a plane must turn through to be going south after it took off going east, then turned right 35°.

Bearing

The initial bearing angle was 90° (straight east). After turning right 35°, the airplane now has a heading of (90+35)° = 125°. To be going south (180°), the bearing must increase by ...

  180° -125° = 55°

The airplane will have to turn 55° more to be heading due south.

The length of a rectangular vegetable garden i 4ft more than it' width. After a 2 foot boarder i placed around the garden, the area of the garden and boarder i 320ft^2. Find the original dimenion of the garden

Answers

The original dimensions of the garden are 12 ft by 16 ft.

Width: x + 4 (not 2 because the width has two ends)

Length: x + 8 (same reason; this is x + 4 + 4)

The area of the garden and the border combined is 320 sq. ft.

The dimensions of the garden with the border around it are (x + 4) and (x + 8).

A (rectangle) = lw

A (garden with border) = lw

320 sq. ft. = (x + 4) (x + 8)

320 sq. ft. = x2 + 12x + 32

Transpose 320 to the right side of the equation.

0 = x2 + 12x + 32 - 320

0 = x2 + 12x - 288

Factor out.

0 = (x + 24) (x - 12)

One or both of the amounts are equal to zero when the product of two values is zero.

Equate the factors to 0.

x + 24 = 0 x - 12 = 0

x = - 24 x = 12

Since we cannit have a negative measure of distance, x = 12.

Find the original dimensions of the garden.

The original dimensions of the garden (without the border) are x and x + 4.

Width = x = 12

Length = x + 4 = 12 + 4 = 16

The original dimensions of the garden are 12 ft by 16 ft.

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The outside temperature in a town is -20°F what change in temperature in degrees Fahrenheit what bring the outside temperature to 0°F

Answers

Answer:

An increase of 20

Step-by-step explanation:

-20 + 20 = 0

The change in temperature in degrees Fahrenheit required is A = 20°F

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The current temperature is -20°F, and we want to know how much it needs to increase to reach 0°F.

On simplifying the equation , we get

We can calculate this by finding the difference between the two temperatures:

0°F - (-20°F) = 0°F + 20°F = 20°F

Hence , the temperature needs to increase by 20°F to reach 0°F

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Pls help! I need to get this done in 10 minutes!

Answers

Answer:

$41.04

Step-by-step explanation:

set up a proportions equation:

[tex]\frac{18.20}{2\frac{1}{3}} =\frac{x}{5\frac{1}{4}}[/tex]

cross multiply and solve for x. this gives you:

x = 41.04

hope this helped, good luck!

Timothy found a new coat on sale. The original price was $80. It is on
sale for 25% off. What is the sale price of the coat? Help asap

Answers

60$

Selling Price = Cost price - discount
= 80$ - (25% of 80$)
= 60$
FORMULA SELLING PRICE = COST PRICE - DISCOUNT

GIVENCP = $80DC = 25% of 80 is 20

SOLUTIONSP = CP - DCSP = $80 - $20

THE SALE PRICE IS $60.

Michelle's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 48 sodas in all, 25% of which were regular. How many regular sodas did the diner serve?

Answers

The number of regular sodas served is 12.

How many regular sodas was served?

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.

Number of regular sodas served = percentage of regular sodas served x number of sodas served

= 25% x 48

= 25/100 x 48 = 12

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Adam ran 21.5 miles less than Jacob. If Adam ran 17.5 miles. How many miles did Jacob run? Write an equation and solve.

Answers

Answer:

39 miles

Step-by-step explanation:

We can start by using algebra to represent the problem in equation form. Let j be the number of miles Jacob ran.

From the information given, we know that:
Adam ran 21.5 miles less than Jacob.
Adam ran 17.5 miles.

We can use these two pieces of information to set up the following equation:
j = 17.5 + 21.5

Now we can solve for j by adding 21.5 to both sides:
j = 39

So Jacob ran 39 miles.

Solve for u in terms of q, r, s, and t. sr=qut u=

Answers

Answer:  u = sr/qut

Step-by-step explanation:

Given the equation sr = qut, we can solve for u by isolating it on one side of the equation. To do this, we divide both sides by qut. This gives us sr/qut = u. This means that u can be represented in terms of q, r, s, and t as sr/qut. This is the final result.

.........

Given the equation sr = qut, we can solve for u in terms of q, r, s, and t by isolating u on one side of the equation.

To do this, we can divide both sides of the equation by (qut)

sr/qut = u

Then we have u = sr/qut

So, u is expressed in terms of q, r, s, and t as u = sr/qut

Classify this triangle by its sides and angles.

A.) right and scalene
B.) acute and scalene
C.) right and equilateral
D.) acute and equilateral

Answers

Answer:

acute and scalene, remember:

Isoceles: An isosceles triangle is a triangle with two sides of equal length. The two equal sides are called legs and the third side is called the base.

Scalene: A scalene triangle is a triangle with all sides of different lengths. None of its angles are congruent.

Equilateral: An equilateral triangle is a triangle with all three sides of equal length. All three angles are congruent and measure 60 degrees.

B) acute And scalene

Need help before the deadline tonight

Answers

Answer:

25°

Step-by-step explanation:

Please see the attached document for how I set up this problem. I used the law/theorem of alternate interior angles to solve for the missing angle we're looking for, and knowing that a straight line will also have an angle measure of 180 degrees. We can also check the answer we arrive at by adding up all the angles that we have and seeing if they add up to 360 degrees, just as all the angles in a four-sided shape would.

The angle of KLM is 50 degrees. The opposite angle, MJK, is also 50 degrees. JKL and LMJ have the same angle of 130 degrees. When we add this together, we reach 360 degrees, letting us know our answer is correct.

HELP PLEASE
Sandi made cookies for the teachers at her daughter's school. She made 20 sugar cookies and 18 chocolate cookies and put them in a box for the teacher's lounge. If one cookie broke, what is the probability it was a chocolate cookie?
A. 9/19
B. 1/18
C. 1/20
D. 19/21

Answers

Answer: A. 9/19

Step-by-step explanation:

20 + 18(amount of cookies) = 38

there are 18 chocolate chip cookies, so it's an 18/38 chance it's a chocolate chip cookie that broke, but 18/38 can be simplified.

18 divided by 2 is 9 and 38 divided by 2 is 19

so 9/19

A careless university student leaves her iclicker device behind with probability 1/4 each time she attends a class. She sets out with her iclicker device to attend 5 different classes (each class is in a different lecture theatre).

Answers

The probability of forgetting iClicker device in each class = 1/4 = 0.25 = p

The probability of remembering iClicker device in each class = 1-p = 0.75

(a) Given that she is sure she has the iClicker device after leaving the first class.

The probability that she left it in second class = 1(0.25) = 0.25

The probability that she left it in third class = 1(0.75)(0.25) = 0.1875

The probability that she left it in fourth class = 1(0.75)(0.75)(0.25) = 0.1406

The probability that she left it in fifth class = 1(0.75)(0.75)(0.75)(0.25) = 0.1055

The total probability that she left iClicker given that she is sure she has the iClicker device after leaving the first class is:

0.25 + 0.1875 + 0.1406 + 0.1055 = 0.6836

Given that she is sure she has the iClicker device after leaving the first class, the probability that she left it in the 5th class is:

0.1055/0.6836 = 0.154

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can somebody explain how the answer to this math problem is this?
answer is actually 0(<)x(<)2 but why?

Answers

The volume and value of x is x>9.

How to solve for x?

Since x represents the width, it clearly must be greater than zero since a box must have each dimension be positive which makes the lower bound. The question is whether (17-2x) and (4-2x) represent the other 2 dimensions or not.

If so, then (4-2x) must also be greater than zero which makes the possible range of x as 0<x<1.5

If not, then in addition to the above range, values of x such that both 4-2x and 17-2 evaluate to negative still result in a positive volume.

Therefore, additional values of x are x>9.

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Why did Korematsu fight against internment?. s the open sharing of ideas in an atmosphere of respect (in order to achieve understanding between the speaker and listener(s). group of answer choices selective perception scriptwriting dialogic communication defensive listening A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 83 m long and 62 m wide. Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer. which one of the following is the most common recommendation for taking core courses and elective courses? under roe v. wade (1973), as originally decided, when may the state largely prohibit women from having abortions? If a developer wanted to incorporate sounds into their work, the best application to choose would be a (n).application.O image editingmusic editingO publishingO word processing How is tillage bad for environment?. The new Constitution places so much power in a central government that the state governments may no longer be able to function as republics under the control of their citizens ." Is this a Federalist or Anti -Federalist argument ? Explain why . 1A. Which of these is false?AGeorge Washington set many presidential norms and rules.BGeorge Washington was unanimously elected president.CGeorge Washington decided not to have a cabinet.DGeorge Washington was an enslaver during his life. gender schema theory grew out of which of the following theoretical perspectives? group of answer choices cognitive-behavioral social-learning information processing biosocial what natural disaster wiped out half of the earths animals 65 million years ago? Substances X,Y and Z can all act as oxidizing agents. In Colution X is Violet Y is Yello and Z is green. In the reactions they undergo thay are reduced to X- Y- and Z-, all of which are colorless. When a solution of Y is mixed with one containg X- ions the color changes from yellow to violet.What Species Is oxidized? (X-)Which Species is reduced(Y).When a soulton of Y is mixed with one containing Z- ions, the solution remains yellow.Is Y a better oxidizing agent than Z?Is Y a better oxidizing agent than X?Arrange X, Y, and Z in order of oxidizing strength from weakes to strongest. Solve for y. 2y+7=5Responsesy = 6y = 1y = -1y = -6 An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. The rod is 13 inches long, and the bottom of the triangle is longer than the two sides. What is the length of the longest side?. A farm has 15 acres of land. The owners used four tenths of the farm land for growing crops. How many acres are used for growing crops There were 1,278 people at the lat baketball game. The tand were divided into 6 ection. The ame number of people at in each ection. How many people at in each ection A new restaurant offers a 14% discount off a customers total bill to the first 500 customers to eat at the restaurant. if the first customers total bill is $38.50, how much does the customer owe after the restaurant applies the discount, in dollars and cents? (figure 75-5: model of a competitive market) if there are external costs, a tax imposed on sellers will: What is the coefficient of the hypochlorite ion when the following equation is balanced?ClO- + S2O3 2- > Cl - + SO4 2-(basic solution) in animals, a nucleotide is employed for conversions of glucose to other carbohydrates. complete the following reaction scheme indicating the reacting nucleotide and the corresponding product:glucose 1-phosphate + __________>__________ + pyrophosphate