This graph shows time and distance traveled for two objects.

Which statement is true?

A. object 2 travels 6/5 of a foot more per minute than Object 1.

B. Object 2 travels 5/6 of a foot more per minute than object 1.

C. Object 1 travels 6/5 of a foot more per minute than object 2.

D. Object 1 travels 5/6 of a foot more per minute than object 2.

Answer:

Step-by-step explanation:

Answer d) is the correct one.

                                opposite side

tan Z is defined as ----------------------- and this is 5/3.

                                 adjacent side

Answer:

3 ft

Step-by-step explanation:

You are given the area, and the area formula, and you can set them equal to each other:

pi r^2 = 9 pi

Divide by pi on both sides:

r^2 = 9

Find the square root of both sides to get:

r = 3 feet

Answer:

r = 3 ft.

Step-by-step explanation:

In order to solve this problem, you need to substitute the information given into the equation and solve for r. The problem tells us that the area of the circle is 9π ft². We can use this value and substitute it into the equation.

9π = πr²

⇒ 9 = r²

⇒ 3 = r

Therefore, the radius of the circle is 3 ft.

Answer: [tex]y=8x-25[/tex]

Step-by-step explanation:

Given

Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]

Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]

[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]

Insert the values

[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]  

Answer:

8x-25

Step-by-step explanation:

:O thats ez

Given : Surface area of a cube can be found with the formula :

⊕   A = 6s²

Given : s = 9 cm

⇒  Surface area of the cube = 6(9 cm)²

⇒  Surface area of the cube = (6 × 81) cm²

⇒  Surface area of the cube = 486 cm²

Answer : 486 cm squared

Answer:

The height is 0.2003ft

Step-by-step explanation:

Given

[tex]Surface\ Area = 520[/tex]

[tex]Base\ Area = 254.34[/tex]

Required

The height of the cylinder

The base area of the cylinder is:

[tex]Base\ Area = \pi r^2[/tex]

This gives

[tex]254.34 = 3.14 * r^2[/tex]

Divide by 3.14

[tex]81 = r^2[/tex]

Take square root of both sides

[tex]r = \sqrt{81[/tex]

[tex]r = 9[/tex]

The surface area of a cylinder is:

[tex]Surface\ Area = 2\pi rh + 2\pi r^2[/tex]

This gives

[tex]520 = 2*3.14* 9h + 2*3.14* 9^2[/tex]

[tex]520 = 56.52h + 508.68[/tex]

Collect like terms

[tex]56.52h = 520 -508.68[/tex]

[tex]56.52h = 11.32[/tex]

Solve for h

[tex]h = 11.32/56.52[/tex]

[tex]h = 0.2003ft[/tex]

Answer:

Length = 4 feet

Width = 4 feet

Step-by-step explanation:

The perimeter of a rectangle formula = 2L + 2W

Where L = Length

W = Width

The length of a rectangle is 8feet less than the width.

Hence,

L = 8 - W

The perimeter is 64 feet.

Hence,

64 = 2(8 - W) × 2W

64 =( 16 - 2W )2W

64 = -4W² + 32W

4W² - 32W + 64 = 0

Factorise

4W² - 16W - 16W + 64 = 0

4W (W - 4) - 16(W - 4) = 0

W - 4 = 0

W = 4

Width = 4

Solving for L

L = 8 - W

L = 8 - 4

L = 4

Therefore,

Length = 4 feet

Width = 4 feet

Answer:

I think I just posted that last time. Check my timeline

Answer:

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

f(-2) Means the y value when x is -2. Just find x=-2 and trace it until it intersects with the blue line. Then get the y-value of the point

Answer:

24

Step-by-step explanation:

In the first classroom, there are 4 possibilities of teachers to be assigned.

In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.

In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.

Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.

We can find the total number of possibilities using the product rule.

N = 4 × 3 × 2 × 1 = 24

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

- 4/5

Step-by-step explanation:

since the line is going down, it is negative

use rise / run for this

it goes 4 units down (rise) and 5 units to the right (run)

Answer: The percentage increase is 170%

Step-by-step explanation:

Increase= $351 - $130

Increase= 221

Percent increase = 221/ 130

Percent increase= 170%

I'm not sure if I'm right, but I hope that this helped:)

Answer:

170%

Step-by-step explanation:

130 = 100%

65 = 50%

13 = 10%

351 - 130 = 221 (doesnt count)

221 - 130 = 91

91 - 65 = 26

26 - (13 + 13) = 0

100 +  50 + 20 = 170%

Answer:

B

Step-by-step explanation:

Have a good day :)

Answer: I think D.

Step-by-step explanation:

Answer:

y/3

Step-by-step explanation:

According to the conditions :

y + y/3 - x = y

y + y/3 - y = x

(3y + y - 3y )/3 = x

y/3 = x

Answer:

[tex]\frac{3}{12}[/tex]

Step-by-step explanation:

Create an equation and solve for x:

[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]

Answer: Non- Statistical

Step-by-step explanation:

It just isn't

Answer:

Step-by-step explanation:

No it’s not because it’s supposed to be like how much do you weigh or sumthin like that but the answer is no

~tye!

Answer:

2.74feet

Step-by-step explanation:

Since we are not told what to find, we can find the height of the plywood

Given the following

length of ramp = 8feet

angle of elevation = 20degrees

Required

Height of the plywood

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 20 = H/8

H = 8sin20

H = 8(0.3420)

H = 2.74 feet

Hence the height of the plywood is 2.74feet

Answer:

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Step-by-step explanation:

Use the point-slope form:  [tex]y - y_{1} = m(x - x_{1})[/tex]

[tex](x_{1}, y_{1})[/tex] = (-4, 2)

y - 2 = -5/4(x + 4)       Multiply by 4 to remove the fraction

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

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Answer:

A) $1,050

B) $6,050

Step-by-step explanation:

We solve using the Simple Interest formula

Simple Interest (I) = Principal × Rate × Time

From that above question, we have the parameters

Principal = $5000

Rate = 3.5 % = 0.035

Time = 6 years

A) How much will he have to pay for the interest?

Hence,

Interest = $5,000 × 0.035 × 6

= $1,050

Therefore, the amount of interest he will have to pay is $1,050

B) How much will he have to pay total?

The amount he will have to pay in contact =

Principal + Interest paid on loan

= $5,000 + $1,050

= $6,050

Answer:

dddddStep-by-step explanation:

Given:

The data set is:

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

To find:

The median of the given data set.

Solution:

We have,

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

Arrange the data values in ascending order.

40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Here, the number of observations is 10 which is an even number. So, the median is:

[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]

Putting n=10, we get

[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]

From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.

[tex]Median=\dfrac{50+53}{2}[/tex]

[tex]Median=\dfrac{103}{2}[/tex]

[tex]Median=51.5[/tex]

Therefore, the median of the given data set is 51.5.

Answer:

Half of 19 = 9.5(new radius)

2 x 3.4 x 9.5 = 64.6 ft is your answer.

Formula of circumference:

2 x 3.14(pi or 22/7 depending on what they tell you to use for pi) x radius(half of diameter or given radius)

Answer:

C = 59.7

Step-by-step explanation:

The formula for the circumference of a circle is C = 2πr

R = radius

The radius is the half of a diameter, so 19/2 is 9.5.

C = 2π(9.5)

C = 59.69026041

Answer:

x = 13

Step-by-step explanation:

This question is based on Secant Secant theorem.

Secant Secant theorem gives us the following formula:

(AB + BD)AB = (AC + CE).AC

From the above question we have the following parameters

AB = 5

BD = x

AC = 7.5

CE = 4.5

Hence,

(AB + BD)AB = (AC + CE).AC

(5 + x)5 = (7.5 + 4.5)7.5

25 + 5x = 90

Collect like terms

5x = 90 - 25

5x = 65

x = 65/5

x = 13

Answer:

A) image is being doubled in size in A

Step-by-step explanation:

B and C are rotations

D is a translation