Justin is building a ramp in the shape of a right triangle to practice skateboarding. The ramp has a height of 3 feet and diagonal of 7 feet. Which value best represents the length of the ramp.

Answer:

3

Step-by-step explanation:

Answer:

[tex]y=-x+7[/tex]

Step-by-step explanation:

Equation of straight line is given as

[tex]y-y_1=m(x-x_1)[/tex]

where slope m is calculated as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)[/tex]

[tex]m = \frac{2 - 6}{5 - 1}\\m=\frac{- 4}{4} \\m=-1[/tex]

Equation of line that passes through the points (1,6) and (5,2)

[tex]y-6=-1(x-1)\\y=-x+7[/tex]

Answer:

a. External radius is 0.5 m.

b. Internal radius is 0.45 m.

c. Volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].

Step-by-step explanation:

a. It can be observed that the diameter of the pipe is 1 m.

External radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{1}{2}[/tex]

          = 0.5

External radius = 0.5 m

b. Internal radius of the pipe can be determined by;

Internal radius = [tex]\frac{internal diameter}{2}[/tex]

But,

Internal diameter = 1 m - (2 x 0.05 m)

                      = 1 m - 0.10 m

                      = 0.9 m

Internal diameter = 0.9 m

So that,

Internal radius = [tex]\frac{0.9}{2}[/tex]

                        = 0.45

Internal radius = 0.45 m

c. Volume of concrete required = [tex]\pi[/tex][tex]r_{e} ^{2}[/tex]h - [tex]\pi[/tex][tex]r_{i} ^{2}[/tex]h

where [tex]r_{e}[/tex] is the external radius, and [tex]r_{i}[/tex] is the internal radius.

Volume of concrete required = [[tex]\frac{22}{7}[/tex] x [tex](0.5)^{2}[/tex] x 2.5] - [[tex]\frac{22}{7}[/tex] x [tex](0.45)^{2}[/tex] x 2.5]

                                                = 1.9643 - 1.5911

                                                = 0.3732

The volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].

Answer:

String length = 114.5 ft

Explanation:

Length = (sin90º · 96)/sin57º = 114.47 ft = 114.5 ft (.5 is the nearest tenth)

Answer:

Find the X and Y Intercepts 3x-5y=-20

Find the X and Y Intercepts 3x-5y=-20. 3x−5y=−20 3 x - 5 y = - 20. Find the x-intercepts. Tap for more steps

Step-by-step explanation:

Answer:3d=15  d=5

Step-by-step explanation: Divide 3 on both sides which gives you 5.

Answer:

0

Step-by-step explanation:

0

Answer:

i think its b

Step-by-step explanation:

Answer:

I'm pretty sure I'm late but it's A

Step-by-step explanation:

Answer:

They got 14 books at $22 and 21 books at $34.

Step-by-step explanation:

From the information given, you can write the following expressions:

x+y=35 (1)

22x+34y=1022 (2), where:

x is the number of books that cost $22

y is the number of books that cost $34

First, you can solve for x in (1):

x=35-y (3)

Then, you can replace (3) in (2) and solve for y:

22(35-y)+34y=1022

770-22y+34y=1022

12y=1022-770

12y=252

y=252/12

y=21

Finally, you can replace the value of y in (3) to find x:

x=35-y

x=35-21

x=14

According to this, the answer is that they got 14 books at $22 and 21 books at $34.

Answer:

2 different sundaes

Step-by-step explanation:

Because you can have a sundae with a topping, or a sundae without a topping.

Answer:

3x²

Step-by-step explanation:

12x⁴-6x³+9x²

3x²(4x²-2x+3)

Answer:

[tex]D = \frac{25\sqrt{13}}{13}[/tex]

Step-by-step explanation:

Given

[tex]y = 4 - \frac{2}{3}x[/tex]

[tex](x_1,y_1) = (-2,-3)[/tex]

Required

Determine the distance

[tex]y = 4 - \frac{2}{3}x[/tex]

Write the above equation in standard form:

[tex]Ax + By + C = 0[/tex]

So, we have:

[tex]\frac{2}{3}x+y - 4 = 0[/tex]

By comparison:

[tex]A = \frac{2}{3}[/tex]  [tex]B = 1[/tex] and [tex]C = -4[/tex]

The distance is calculated using:

[tex]D = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}[/tex]

Where:

[tex](x_1,y_1) = (-2,-3)[/tex]

[tex]A = \frac{2}{3}[/tex]  [tex]B = 1[/tex] and [tex]C = -4[/tex]

This gives:

[tex]D = \frac{|\frac{2}{3} * (-2) + 1 * (-3) - 4|}{\sqrt{(\frac{2}{3})^2 + 1^2}}[/tex]

[tex]D = \frac{|-\frac{4}{3} -3 - 4|}{\sqrt{\frac{4}{9} + 1}}[/tex]

Take LCM

[tex]D = \frac{|\frac{-4-9-12}{3}|}{\sqrt{\frac{4+9}{9}}}[/tex]

[tex]D = \frac{|\frac{-25}{3}|}{\sqrt{\frac{13}{9}}}[/tex]

[tex]D = |\frac{-25}{3}|/\sqrt{\frac{13}{9}}[/tex]

[tex]D = \frac{25}{3}/\sqrt{\frac{13}{9}}[/tex]

Split the square root

[tex]D = \frac{25}{3}/\frac{\sqrt{13}}{\sqrt{9}}[/tex]

Change / to *

[tex]D = \frac{25}{3}*\frac{\sqrt{9}}{\sqrt{13}}[/tex]

[tex]D = \frac{25}{3}*\frac{3}{\sqrt{13}}[/tex]

[tex]D = \frac{25}{\sqrt{13}}[/tex]

Rationalize

[tex]D = \frac{25}{\sqrt{13}} * \frac{\sqrt{13}}{\sqrt{13}}[/tex]

[tex]D = \frac{25\sqrt{13}}{13}[/tex]

Hence, the distance is:

[tex]D = \frac{25\sqrt{13}}{13}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The best option that would demonstrate this concept would be the belief that no one should kill another person. This is because out of all the available options this is the only intangible "material" that actually affects a population's culture. Such a belief or idea would make a population create their entire culture around such a belief as well as the other thoughts and ideas that define what is write and wrong to a culture.

Answer:

75%

Step-by-step explanation:

Answer:

4/18

Step-by-step explanation:

It would be a 4/18 chance she would get another blue marble, because first you add all of the marbles together which is 5+6= 11 + 7 = 18, so there are 5 blue marbles, and we have a chance of pulling another blue one 5/18 but since we already took one out, there are only 4 blue marbles left, so it's a 4/18.

Answer:

A → C = 150h + 250 ( where C is charge )

B → C = 175h + 150

for 26 hours

A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150

B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700

Attorney A is cheaper for 26 hours, thus better deal

Equate the 2 equations to find hours they charge the same

175h + 150 = 150h + 250 ( subtract 150h from both sides )

25h + 150 = 250 ( subtract 150 from both sides )

25h = 100 ( divide both sides by 25 )

h = 4 ← number of hours when charges for both are equal

Attorney A becomes a better deal at 5 hours

Step-by-step explanation:

Answer:

2.583(the 3 is recurring)

Step-by-step explanation:

31/9=3.4 recurring

3.4recurring*3/4

=2.583(the 3 is reccuring)

Answer:

4

Step-by-step explanation:

Make a line through a addition, subtraction, division, or multiplication sign and on each side of the line is a number and each number is a term.

Answer:

68 degrees

Step-by-step

22 degrees +B=90 degrees

B=68

Answer:

x = 10 yd

Explanation:

These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.

12/18 = x/15

x = (12 · 15)/18

x = 10 yd (10 yards from the hut to the gold coins)

Answer:

18:54 of student to classroom at both school to be the same

Answer:

The answer to the question provided is 0

Step-by-step explanation:

You have a zero slope.

Good afternoon and god blesses you too <3

Answer:

he eats 8 carrots in one day??

Step-by-step explanation:

Answer:

A. He eats 8 baby carrots in 1 day

Step-by-step explanation:

The one is for time, in days, with the dot to the left is the be listed under 10 which could be 8, so 1,8, 1 day, 8 carrots.

Answer:

18

Step-by-step explanation:

Mark is 18 years old.

Answer: 15

Step-by-step explanation:

Answer:

B 113 cm^2

Step-by-step explanation:

Answer:

10.16% probability that at most 6 trains will pass his house in a 12-hour time period

Step-by-step explanation:

We are dealing with the mean during a period of time, so we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Colby has noticed that 21 trains pass by his house daily (24 hours)

We are working with 12 hour periods(half of 24), so [tex]\mu = \frac{21}{2} = 10.5[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

What is the probability that at most 6 trains will pass his house in a 12-hour time period

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-10.5}*(10.5)^{0}}{(0)!} = 0[/tex]

[tex]P(X = 1) = \frac{e^{-10.5}*(10.5)^{1}}{(1)!} = 0.0003[/tex]

[tex]P(X = 2) = \frac{e^{-10.5}*(10.5)^{2}}{(2)!} = 0.0015[/tex]

[tex]P(X = 3) = \frac{e^{-10.5}*(10.5)^{3}}{(3)!} = 0.0053[/tex]

[tex]P(X = 4) = \frac{e^{-10.5}*(10.5)^{4}}{(4)!} = 0.0139[/tex]

[tex]P(X = 5) = \frac{e^{-10.5}*(10.5)^{5}}{(5)!} = 0.0293[/tex]

[tex]P(X = 6) = \frac{e^{-10.5}*(10.5)^{6}}{(6)!} = 0.0513[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0 + 0.0003 + 0.0015 + 0.0053 + 0.0139 + 0.0293 + 0.0513 = 0.1016[/tex]

10.16% probability that at most 6 trains will pass his house in a 12-hour time period

Answer:

If you´re solving for the value of y, it´s 5/6

Step-by-step explanation:

-3(4y-5+0)-3y=0

-12y+15-0-3y=0

-15y+15-3y=0

      -15       -15

-15y-3y=-15

-18y=-15

-18    -18

y=-15/-18 (simplified is 5/6)

Step-by-step explanation:

x=5,y=-1

6(5)-3(-1)=30+3=33

answer G .33

Answer:

0.36

Step-by-step explanation:

p=36

q=100

p÷q

36÷100= 0.36

Answer: 62.5 miles

2cm / 25 miles = 5cm / x

Cross multiply

125 = 2x

x = 62.5 miles