I don’t really understand this can someone please help me I have to find the tangent ratios for

Answer:

15 1/4 inches

Step-by-step explanation:

Length of the other piece

= 23 1/2 - 8 1/4

= 47/2 - 33/4

= 94/4 - 33/4

= 61/4

= 15 1/4 inches.

Answer:

awnser value is 64

Step-by-step explanation:

4³ is an exponential multiplied by itself 3 times an added to 2

Answer:

82

Step-by-step explanation:

Follow BIDMAS: 1. Brackets, 2. Indices, 3. Division, 4. Multiplication, 5. Addition, 6. Subtraction

1. Brackets, 5+4=9

therefore the equation is now

[tex]4^3+2*9[/tex]

2. Indices

[tex]4^3=4*4*4=64[/tex]

therefore the equation is now

[tex]64+2*9[/tex]

3. Multiplication

2*9=18

therefore the equation is now

64+18

now add,

=82

therefore, [tex]4^3+2*(5+4)=82[/tex]

Answer:

√180 > 102/8

Step-by-step explanation:

√180 = 13.416407865
102/8 = 12.75

Answer:

Yes

Step-by-step explanation:

Because 180 is greater than 102

_____

8

5.25 pack of printer paper the manager should expect to have after 30 days.

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

If 140 paper are used in 80 days then

in days 80 ⇒  140 pack paper used

in day 1 ⇒ 140/80 pack paper used

in days 30 ⇒ 140/80 × 30

                  ⇒ 21/4 pack paper used or 5.25 pack paper used

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Step-by-step explanation:

2x+13=17

2x=17-13

2x=4

x=4/2

x=2

then,

3x+1

= 3*2+1

= 6+1

= 7

Answer: 7

Step-by-step explanation:

To solve the problem you need to use algebra.

[tex]2x+13=17\\[/tex]

Subtract 13 on both sides.

[tex]2x=4[/tex]

Proceed to divide by 2 to solve for x.

[tex]x=2[/tex]

Now using your x-value, plug that into 3x+1 to get your solution.

[tex]3x+1\\3(2)+1=7[/tex]

The slope of the line passing through the pair of points, (0 , 0) and (5 , -3), is -3/5.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. The formula for solving the slope is:

m = (y2 - y1)/(x2 - x1)

where m is the slope

x1 and y1 are the coordinates of one point

x2 and y2 are the coordinates of the 2nd point

Given two points in the line, (0 , 0) and (5 , -3), plug in the values to the formula for the slope.

m = (y2 - y1)/(x2 - x1)

m = (-3 - 0)/(5 - 0)

m = -3/5

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Answer:

10 3/4 lb

Step-by-step explanation:

she releases the 1 3/4 lb fish and keeps the 5 1/4lb, 3 1/2lb, and 2lb

The total weight of these three fish are

5 1/4lb

+

3 1/2lb

+

2lb

which equals 10 3/4lb

Answer:

When she came to work the next day, she was delighted because four hundred sixteen hundred, nine hundred forty-three containers had been delivered. How many things (Problem 3) would fill them all?

https://www.louisianabelieves.com/docs/default-source/assessment/grade-7-answer-key.pdf

Step-by-step explanation:

The length of the missing side of the given triangle is 2√2×11.

So, the missing length of the given triangle:

The formula of the hypotenuse.

Now, substitute values in the formula:

Therefore, the length of the missing side of the given triangle is 2√2×11.

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The solution of the given formula V = lwh for the variable w is V/lh.

According to the given question.

We have a formula.

V = lwh

Since, we have to solve this given formula V = lwh for the variable w.

Which means we have to write separate variable w to one side from the other variables which are in the given formua V = lwh .

Thereofre, the solution of the given formula V = lwh for the variable w is given by

V = lwh

⇒ V/l = wh      (dividing both the sides by l)

⇒ V/lh = w      (dividing both the side by h)

or w = V/lh

Hence, the solution of the given formula V = lwh for the variable w is V/lh.

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x= 6, y = 3 are the domain and range were interchanged, would the relation be a function.

What is domain ?

If the terms in range and domain were interchanged, one term 6 of domain relates with two different values of range,

x = 6, y = 2.5

x= 6, y = 3

  Since, a term of domain can't have two different values in range,

Therefore, interchanged relation will not be a function.

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Answer:

(0, -54)

Step-by-step explanation:

The y-intercept is when x=0.

[tex]y=-(2/3)(0-9)^2 \\ \\ =-(2/3)(81) \\ \\ =-54[/tex]

The two events are mutually exclusive if they cannot occur at the same time. A triangle is equiangular if it is equilateral. Never can one preclude the other. The two events are mutually exclusive if they cannot occur at the same time.

What pairs of occurrences can never coexist?

What are some examples of mutually exclusive events?

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The function value at the minimum is -9

The function is given as:

f(x) = x^2 - 6x

Differentiate the function

So, we have

f'(x) = 2x - 6

Set the function to 0

So, we have

2x - 6 = 0

This gives

2x = 6

Divide by 2

x = 3

Substitute x = 3 in f(x) = x^2 - 6x

f(3) = 3^2 - 6(3)

Evaluate

f(3) = -9

Hence, the function value at the minimum is -9

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an=a1+d(n−1)  is the explicit and a recursive formula for each sequence .

See the pattern

1/8-0 =1/8

1/4-1/8 = 1/8

3/8-1/4 = 1/8

the explicit and a recursive formula for each sequence is an=a1+d(n−1).

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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============================================

Explanation:

x = length of the red and purple lunch box

y = length of the blue lunch box

volume = length*width*height

The volume expression for the red and purple lunch box is x*7.5*4 = 30x

Set this equal to the stated volume 300 cubic inches, and solve for x.

30x = 300

x = 300/30

x = 10

The red and purple lunch box has length of 10 inches.

-----------------

The blue lunch box has volume of

length*width*height = y*8*3 = 24y

Set this equal to 300 and solve for y

24y = 300

y = 300/24

y = 12.5

The blue lunch box has length of 12.5 inches

Therefore the blue lunch box is longer and is longer by 12.5-10 = 2.5 inches.

The expression of the segment as the sum of the parts, gives VW = VX

The given parameters are;

VZ = VY, WY = XZ, then VW = VX

From the given drawing obtained from a similar question, we have;

VZ = VW + WY (Segment Addition Postulate)

VY = VX + XZ, by segment addition

Therefore;

By substitution property, we have;

VW + WY = VX + XZ

Which gives;

VW + WY = VX + WY (substitution)

VW + WY - WY = VX + WY - WY

VW = VX by subtraction property

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Using proportions, it is found that the deducted amounts each year are given as follows:

The tax rates are missing, and they are given as follows:

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

Considering that a year has 52 weeks, her yearly salary is given as follows:

52 x 570 = $29,640.

Considering the tax rate, the deducted amount for Social Security is given by:

0.0620 x 29640 = $1,837.68.

Considering the tax rate, the deducted amount for Medicare is given by:

0.0145 x 29640 = $429.78.

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1. The coefficients of the factored polynomial x² - 8x + 15  are

2. The coefficients of the  factored polynomial 2x³ - 8x² + 24x are

3. The coefficients of the  factored polynomial 6x² + 14x + 4 are

Sincw we want to factor the polynomial x² - 8x + 15 in the form (ax + b)(cx + d), we have that

x² - 8x + 15 = x² - 3x - 5x + 15

= x(x - 3) - 5(x - 3)

= (x - 5)(x - 3)

comparing  (x - 5)(x - 3) with (ax + b)(cx + d), we see that the coefficients of the polynomial are

Sincw we want to factor the polynomial 2x³ - 8x² + 24x in the form 2x(ax + b)(cx + d), we have that

2x³ - 8x² - 24x = 2x(x² - 4x - 12)

Factorizing the expression inthe bracket, we have

= 2x(x² - 2x + 6x - 12)

= 2x[x(x - 2) + 6(x - 2)

= 2x(x - 2)(x + 6)

comparing  2x(x - 2)(x + 6) with 2x(ax + b)(cx + d), we see that  the coefficients of the polynomial are

Sincw we want to factor the polynomial 6x² + 14x + 4 in the form (ax + b)(cx + d), we have that

6x² + 14x + 4 = 6x² + 2x + 12x + 4

= 2x(3x + 1) - 4(3x + 1)

= (2x - 4)(3x + 1)

comparing  (2x - 4)(3x + 1) with (ax + b)(cx + d), we see that  the coefficients of the polynomial are

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If y varies directly with x , and y-15 when x-3, y is 60 when x is equal to 12.

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

y = kx            (Where k is the constant)

Here, we have given

15 = k3

k = 15/3

  = 5

So, y = 5x

When x = 12,

y = 5(12)

  = 60

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Correct question

Suppose y varies directly with x, and y = 15 when x = 3. What is y when x = 12?

Answer:

(r-s)⁹

Step-by-step explanation:

The difference means to subtract, so we have r-s.

Raising this to the 9th power gives (r-s)⁹.

Answer: 58

Step-by-step explanation:

Increment of 3

4th term is 10,

5th term is 13,

6th term is 16,

7th term is 19,

8th term is 22,

9th term is 25,

10th term is 28,

11th term is 31,

12th term is 34,

13th term is 37

14th term is 40

15th term is 43

16th term is 46

17th term is 49

18th term is 52

19th term is 55

Meaning that the 20th term is 58

Answer:

a₂₀ = 58

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = a₂ - a₁ = 4 - 1 = 3 , then

a₂₀ = 1 + (19 × 3) = 1 + 57 = 58

After 6 weeks of training, Jorge will have run the equivalent of 13.5 races.

When two quantities, expressions, or numbers have the same value, they are said to be equal. An equivalent quantity can be expressed in a variety of ways, such as by a bar or an equivalent symbol. Because they can relate to it in their everyday lives, children find this topic to be particularly engaging for a variety of reasons.

A common or logical equivalency between several values or quantities can also be referred to as the equivalent. Equivalence is comparable to equality but distinct from it.

1 race = 20 miles

Lets assume he doesn't runs on Sunday and Thursday, thus

Miles he runs a week = (Monday + Tuesday + Friday) + ( Wednesday +Saturday)

1 week = (7 + 7 + 7) + (12 + 12)

           = 45 miles

If he runs for 6 weeks then

6 week's run = 6 × 45

                      = 270 miles

If 1 race is of 20 miles then in 6 weeks he would have ran  

= 270/20

= 13.5 races

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Six pairs of congruent angles are:

To name six pairs of congruent angles:

Given: BCDE ≅ RSTU

Then,

Now, connect diagonals BD and RT.

So,

Therefore,  six pairs of congruent angles are:

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Answer:

f. 4+3=7

g. 23+8+4=35

h. 53+3+28=84

i. 11+17+92=120

j. 24+8+3=35

Step-by-step explanation:

Answer:

F = 4 + 4 = 8

G = 23 + 8 + 4 = 35

H = 53 + 3 + 27 = 83

I = 11 + 17 + 93 = 121

J = 24 + 8 + 3 = 35

Step-by-step explanation:

The eighth term of the given sequence 1/2, 1/4, 1/8, 1/16, 1/32 will be 1/256.

According to the give question.

We have a sequence 1/2, 1/4, 1/8, 1/6, 1/32

Since, the first term of the given sequence is 1/2.

The second term of the given sequence is 1/4.

The third term of the given sequence is 1/8.

Here, we can see that the numerator of each term is same i.e. 1. But the denominator is changing by power or 2. For the first term it is 2^1, for the second term it is 2^2, for the third term it is 2^3 and so on.

Therefore, the gneral formula for finding the nth term of the given sequence is given by

[tex]T_{n} = \frac{1}{2^{n} }[/tex]

So, the eighth term of the given sequence is 1/2^8 = 1/256.

Hence, the eighth term of the given sequence 1/2, 1/4, 1/8, 1/16, 1/32 will be 1/256.

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Given set of numbers 13, 15, 16 represent an acute triangle.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

Since the sum of the lengths of any two sides is greater than that of the third side, the set of numbers are the measures of a triangle.

Now we find the type of triangle.

We find the sum of the squares of the two smaller sides, and compare the sum to the square of the largest side.

The sum of the squares of the two smaller sides is,

= 13² + 15²

= 169 + 225

= 394

And 16² = 256

Since the sum of the squares of the two smaller sides is greater than the square of the largest side, the triangle must be an acute triangle.

Therefore, given set of numbers 13, 15, 16 represents an acute triangle.

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As the value of Square root √75 is equals to 8.66, and the number 9 is larger than the number 8.66.

The value of Square root √75 is equals to 8.66, and the number 9 is larger than the number 8.66.

So, √75 <  9

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Answer: A number is divisible by 3 if the sum of the digits is divisible by 3. 

If the last two digits of a number are divisible by 4, the whole number is. For example, in 1,012, 12 is divisible by 4.

A large number is divisible by 8 if the last three digits are also divisible by 8 or are 000.