7. Find the area of the triangle using trigonometry.

Answer:

32842

Step-by-step explanation:

837428942

The linear function graphed is defined as follows:

B. y = 3x + 2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The line in this problem crosses the y-axis at y = 2, hence the intercept b is given as follows:

b = 2.

When x increases by one, y increases by three, hence the slope m of the function is given as follows:

m = 3.

This means that the function is defined as follows:

y = 3x + 2.

Meaning that the correct option is given by option B.

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The probability that -2 < x < 2 is given as follows:

P(-2 < x < 2) = 0.16.

From the table given in this problem, the probability distribution is defined as follows:

The desired interval in this problem is given as follows:

-2< x <2.

It is an open interval, meaning that the only outcome that satisfies this interval is X = 0, and thus the probability is given as follows:

P(-2 < x < 2) = 0.16.

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Step-by-step explanation: angle on a straight line equals=180

(a) x+2x+3x =180

(b) 6x=180 (divide both sides by the coefficient of x i.e 6)x

    x=180divide by 60

    x =30

(c) now we know the value of x substitute it to get the largest value

      x+2x+3x =180

30+2(30)+3(30)=180

30+60+90=180

therefore the largest angle is 90 degrees

Answer:

19

Step-by-step explanation:

8 = 1/3 (a+5)

24 = a + 5

=> a = 19

Answer:

[tex]a=19[/tex]

Step-by-step explanation:

[tex]8=\frac{1}{3} (a+5)[/tex]

To find the answer we have to find the value of the variable. In order to find the value of the variable we need to isolate it from the equation.

[tex]8=\frac{1}{3} (a+5)[/tex]
[tex]\frac{1}{3} (a+5)=8[/tex]
Multiply 3 on both sides:
[tex]8\times3=24[/tex]
[tex](a+5)=24[/tex]
Subtract both sides by 5:
[tex]24-5=19[/tex]
[tex]a=19[/tex]

Therefore your answer is "a = 19."

Hope this helps.

Answer:

Step-by-step explanation:

Your first step should be to use the Distributive property to simplify the part where it says: -2(a+b). Then you need to put in the numbers given to you for a=2 and b=4  

Answer:

Step-by-step explanation:

First, we will use the property of radicals that states that (a √b) * (c √d) = (ac) √(bd). Since the expression has both multiplication and addition, we will break the expression down into its components and simplify each component separately.

6√x+7√(54) = 6√x + 7√(27*2) = 6√x + 7√27 * 7√2 = 6√x + 7√27 * (2*√2) = 6√x + 14√27 * √2 .

Next, we will simplify the second component of the expression: 12√(6) = 12√(2*3) = 12√2 * 6√3 = (4*3)√2 * 6√3 = 12√2 * 6√3.

Finally, we can combine the two separate parts of the expression to get the simplified version: 6√x + 14√27 * √2 - 12√2 * 6√3 = 6√x + 14√27 * √2 - 12√6.

The simplified version of the expression is 6√x + 14√27 * √2 - 12√6, in exact terms (no decimals).

Answer: To find the percent increase in average movie theater ticket price, you can use the formula:

percent increase = (new value - old value) / old value * 100

Plugging in the values, we get:

percent increase = ($8.53 - $6.96) / $6.96 * 100 = 22.9%

So, the percent of increase in average movie theater ticket price for the 10-year period from 2007 to 2017 is 22.9%.

Step-by-step explanation:

Value of R = 1.72×10¹¹ meter

The correct option is B.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given, expression

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{(6.71×10⁻¹²)² - (3.36×10⁻¹²)²}]

R = √[1/{4.50×10⁻²³ - 1.13 × 10⁻²³}]

R = √[1/3.37×10⁻²³]

R = √2.97×10²²

R = 1.72×10¹¹ meter

Hence, 1.72×10¹¹ meter is value of R.

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Complete question is here;

Answer:

152

Step-by-step explanation:

8*10+12*6 =80+72 =152

Answer:

The equation that can be used to find y, the height of the first bounce, in inches, when the ball is dropped from a height of x inches is y=x/2. This can be determined by analyzing the data in the table:

-When the ball is dropped from a height of 10 inches, the height of the first bounce is 5 inches (y=5).

-When the ball is dropped from a height of 20 inches, the height of the first bounce is 10 inches (y=10).

-When the ball is dropped from a height of 30 inches, the height of the first bounce is 15 inches (y=15).

In all these cases, the height of the first bounce is half the height of the drop, meaning that the equation y=x/2 is the correct one

Answer:

B) y = x/2

Step-by-step explanation:

When the ball is dropped 10 inches, the ball bounces 5 inches

5 = 10/2

When the ball is dropped 20 inches, the ball bounces 10 inches.

10 = 20/2

When the ball is dropped 30 inches, the ball bounces 15 inches.

15 = 30/2

Let x be the first day's ride.The second ride will then be equal to 1.5 times.The third day's journey will cost 1.5 (1.5x)The ride on the fourth day will cost 1.5*1.5. (1.5x)

The length of the line that connects two places serves as the unit of measurement for distance.

By subtracting the different coordinates from the pair if the two points are on the same horizontal or vertical line, the distance can be calculated.

Let x be the first day's ride.

The second ride will then be equal to 1.5 times.

The third day's journey will cost 1.5 (1.5x)

The ride on the fourth day will cost 1.5*1.5. (1.5x)

Consequently, the distance traveled over the four days is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

by multiplying both sides by 8.125, we get

x=65/8.125

x=8mile

the initial ride be x miles long.

The second day's ride will be 12 miles long (=1.5 x =1.5*8).

The third day's ride will be 18 miles (1.5 x 1.5).

The fourth day's ride will be 27 miles, or 1.5*1.5(1.5x).

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An equation is represented by the table is y= -4x+3. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the given table, we have coordinates (0, 3) and (1, -1)

Here, m=(-1-3)/(1-0)

m=-4

Substitute m=-4 and (x, y)=(0,3) in y=mx+c, we get

3=-4(0)+c

c=3

Substitute m=-4 and c=3 in y=mx+c, we get

y= -4x+3

Therefore, option B is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which equation is represented by the table?

y=-3x+1

y=-4x+3

y=3x-4

y=-2x+1

Answer:

(0,3)

Step-by-step explanation

4x+y=3

anything multiplied by x would make it greater than 3 so x is 0 then y has to be equal to 3 so (0,3)

The periodic fixed costs of the company, based on the cost function, are $1,000.

The fixed costs refer to the period costs that do not change in total concerning the production or activity level and they relate to a financial period.

The fixed cost per unit decreases as more units are produced and vice versa.  However, within the relevant range, the fixed cost for the period remains the same.

A cost function is a model or formula that shows the total costs based on different cost behaviors (fixed and variable) and the relationship of costs to the production quantity.

Cost functions can be used to predict the total costs to be incurred under different production levels.

In this situation, the cost function, C = 1000 + 3.75q, shows that the fixed cost per period is $1,000 and $3.75 per unit (variable).

Thus, based on the cost function, the fixed costs are $1,000.

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The cost of laser eye surgery in Country B is $1500 for each eye.

What is the proportion?

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios.

A proportion is two ratios that have been set equal to each other,

a proportion is an equation that can be solved.

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

We have given,

The cost of laser eye surgery in Country A is $2000 for each eye.

The same surgery in Country B is 3/4 of this amount.

Based on the given conditions, formulate: 2000 * 3/4

Reduce the expression to the lowest term: 500 * 3

Calculate the product or quotient: 1500

Hence, The cost of laser eye surgery in Country B is $1500 for each eye.

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The cost of laser eye surgery in Country B is $1500 for each eye.

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios.

A proportion is two ratios that have been set equal to each other,

a proportion is an equation that can be solved.

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

We have given,

The cost of laser eye surgery in Country A is $2000 for each eye.

The same surgery in Country B is 3/4 of this amount.

Based on the given conditions, formulate: 2000 * 3/4

Reduce the expression to the lowest term: 500 * 3

Calculate the product or quotient: 1500

Hence, The cost of laser eye surgery in Country B is $1500 for each eye.

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well,  the number is really "x", which oddly enough is the 100%.

we also know that 3/4% of "x" is 24, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\[1em] 24&\frac{3}{4} \end{array}\implies \cfrac{x}{24}~~ = ~~\cfrac{100}{~~ \frac{3 }{4 } ~~}\implies \cfrac{x}{24}=\cfrac{400}{3} \\\\\\ 3x=9600\implies x=\cfrac{9600}{3}\implies x=3200[/tex]

A decaying exponential function is modeled as follows:

y = a(1 - r)^t.

In which the parameters are given as follows:

For this problem, the function is defined as follows:

y = 476000(0.81)^t.

Hence the values of the parameters are given as follows:

a = 476000, r = 0.19, meaning that the percent decay is of 19%.

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[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_{3}(y+5)+\log_3(6)~~ = ~~\log_3(66) \\\\[-0.35em] ~\dotfill\\\\ \log_3[(y+5)\cdot 6]=\log_3(66)\implies (y+5)6=66 \\\\\\ y+5=\cfrac{66}{6}\implies y+5=11\implies \boxed{y=6}[/tex]

Answer:

y>\frac{2}{3} x+4

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

Hope this helps :)

Answer:

Step-by-step explanation:

When the plane landed in Las Vegas it was 4:30PM Pacific time - this converts to 730 PM Eastern time.

The entire trip lasted from 9:45 am to 7:30 pm.  This is a total of 9 hours and 45 minutes.

Subtract 2 hours and 20 minutes for the layover and the plane was flying

for 7 hours and 25 minutes.

9 - 2 = 7 hours and 45 minutes - 20 = 25 minutes

The equation of a circle in general form is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the center of the circle and r is the radius.

To put the equation of circle in standard form x2+y2−4x+5y−3=0 you need to complete the square and

bring the equation to the form (x-a)^2 + (y-b)^2 = r^2

so the center of the circle is (-2,2) and the radius is 3

Answer:

  7:48 p.m.

Step-by-step explanation:

You want to know when lights with periods 36 s, 64 s, and 110 s will change simultaneously again if they do so at 11 a.m..

The lights will change simultaneously after a time that is the least common multiple (LCM) of the periods of the lights.

The least common multiple is the product of the unique factors in each of the numbers:

  36 = 2² · 3²

  64 = 2⁶

  110 = 2 · 5 · 11

The unique factors are 2⁶, 3², 5, and 11. Their product is 31680. The lights will change simultaneously again after 31680 seconds.

We can convert this to hours, minutes, and seconds by repeated division by 60:

  31680 / 60 = 528 r 0

  528 / 60 = 8 r 48

31680 seconds is 8 hours, 48 minutes, and no seconds.

Adding that time to 11 a.m. gives a clock time of ...

  11:00 +8:48 = 19:48 = 7:48 p.m.

The lights will change simultaneously again at 7:48 p.m..

__

Additional comment

The lights will change simultaneously at 11 a.m. again after 11 days.

Answer:

First choice

y = 3ˣ

Step-by-step explanation:

It is easier if you examine the obviously wrong choices

Choice 2, y = 9x is incorrect because at x = 0, y = 9x should be 0, instead it is 1

Choice 3 , y = 3x is incorrect for the same reason

Choice 4 y = x³ is incorrect because at x = 0, x³ should be 0, instead it is 1

Correct choice is the first one: y = 3ˣ

Let's check:

x = 0,  y = 3⁰  = 1 because any number raised to the power 0 is 1

x = 1, y = 3¹ = 3; because any number raised to the power 1 is 1itself

x = 2; y = 3² = 9 ; so fts

You can test out the rest of the entries yourself

Answer: 69

Step-by-step explanation:

In the equation 692 = 4,761, we can see that 692 is being multiplied by some number to get 4,761. To find that number, we can divide 4,761 by 692:

4,761 / 692 = 69.

So, 4,761 / 69 = 69

In this case, 692 is being multiplied by 69 to get 4,761, so 69 is the value we get when we divide 4,761 by 69.

Answer:

1) Quadrilateral ABCD is translated 5 units and 4 units down, then reflected in the y-axis. This will result in congruent figures. Translation only moves the figure without changing the size or shape, and reflection in the y-axis will mirror the figure across the y-axis without altering its size or shape. Since both operations preserve the size and shape of the figure, the resulting figure will be congruent to the original.

2) ΔJKL is dilated by a scale factor of 2 and then rotated 180° about the origin. This will result in congruent figures. Dilation by a scale factor of 2 will double the size of the triangle while maintaining its shape, and rotation by 180° about the origin will flip the triangle over the origin while maintaining its shape. Since both operations preserve the size and shape of the figure, the resulting figure will be congruent to the original.

3) Line segment XY is rotated 90° about the origin, dilated by a scale factor of -1/2, and then reflected in the line x = 5. This will result in similar figures. Rotation by 90° about the origin will rotate the line segment by 90 degrees, dilated by a scale factor of -1/2 will shrink the size by half but with a change in direction and reflection in the line x = 5 will mirror the figure across the x=5 line without altering its size or shape. Since all the operations maintain the shape of the figure but the size changes, the resulting figure will be similar to the original one.

Translation and reflection doesn't change the shape or size of the figure, therefore the resulting figure is congruent to the initial one.

Rotation doesn't change the shape of the figure, but dilation changes the size, therefore the resulting figure is similar to the initial one.

Rotation and reflection don't change, but dilation changes the size, therefore the resulting segment is similar to the initial one.

Therefore , as a result, after answering the question, we may state that the coordinates are -(68,-69); the answer is = x - y - 137 = 0.

When locating points or other geometric objects precisely on a continuum, such as Euclidean space, a coordinate system is a technique that uses one maybe more integers or coordinates. Locating a point or item on an a double plane requires the use of coordinates, which are pairs of integers. Two numbers called the y and x coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations.

Here,

Given :

we provided with the coordinates as -

(68,-69)

so, the equation is = y -y1 = m(x-x1)

= y + 69 = x - 68

x - y - 137 = 0

Therefore , as a result, after answering the question, we may state that the coordinates are -(68,-69); the answer is = x - y - 137 = 0.

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Answer:

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

The distance is the product of the speed and time.

Given:

Find the distance:

The complex number in rectangular form is z = √2 - i√2

The rectangular form of of a complex number is given by z = a + ib where

where

Given the complex number

z = 2[cos(- π/4) + isin(- π/4)] , we desire to find the rectangular form of the complex number. We proceed as follows.

z = 2[cos(- π/4) + isin(- π/4)]

z = 2cos(- π/4) + i2sin(- π/4)]

z = 2cos(π/4) - i2sin(-π/4)]

Since cos(π/4) = sin(π/4) = 1/√2, we have that

z = 2cos(π/4) - i2sin(-π/4)]

z = 2 × 1/√2 - i2 × 1/√2

z = 2/√2 - i2/√2

Rationalizing the denominators, we have that

z = 2/√2 × √2/√2 - i2/√2 × √2/√2

z = 2√2/2 - i2√2/√2

z = √2 - i√2

So, we have the number in rectangular form as z = √2 - i√2

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The transformation of graph f (x) = x and h (x) = x - 4 is a translation 4 units to the left

The term transformation is used in mathematics to refer to the movements made by objects.

Translation refers to a type of transformation that involve a linear movement.

Movements as seen in translation includes

up

down

left

right

The y coordinate governs movements in the vertical direction that are up and down.

While the x coordinate controls the horizontal movement in the left and right directions.

The movement as described in the graphs f(x) and h(x) is translation 4 units to the left

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