A skateboard ramp has a 158° entry angle. Find the measure of 1

9514 1404 393

Answer:

  x = 15°

Step-by-step explanation:

Same-side interior angles are supplementary.

  (4x° +12°) + 108° = 180°

  4x° = 60° . . . . . . . . . . . . . . subtract 120°

  x = 15° . . . . . . . . . . . . divide by 4

Answer:

11

Step-by-step explanation:

(20 + 1 + 14 + 14 + 9 + 8) / 6

= 66 / 6

= 11

Answer:

B

Step-by-step explanation:

Answer:

Decision Rule

The critical region for one tailed test with 7 d.f is t > 1.415 for

H0 : ud ≤ 0 against the claim Ha: ud > 0

Step-by-step explanation:

The data given is

Population mean = ud= 0

Sample difference mean = d`= 3.125

Sample difference standard deviation = sd= 2.911

Sample size= n= 8

Formulate the null and alternate hypotheses as

H0 : ud ≤ 0 against the claim Ha: ud>0

The significance level ∝= 0.1

The degrees of freedom = n-1 = 8-1 = 7

The critical region for one tailed test with 7 d.f is t > 1.415

The test statistic is

t= d`- ud/ sd/ √n

Putting the values

t= 3.125-0 / 2.911/√8

t= 3.125/1.0292

t= 3.036

since the calculated value of t falls in the critical region we reject the null hypothesis .

Answer:9

Step-by-step explanation:

Answer:

I think it's either A or D

Answer:

B. 10

Step-by-step explanation:

10 x 3 = 30+5 = 35

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

Answer:

6

Step-by-step explanation:

[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]

Answer:

The angles are proportional and the side lengths are proportional.

Step-by-step explanation:

Savaas Realize

Answer:

5.831

Step-by-step explanation:

Distance between both given points=Lenght=5.831

Answer:

B, C

Step-by-step explanation:

Answer:

The second answer choice

Step-by-step explanation:

The pyramid shown is a triangular pyramid. A triangular pyramid consist of 4 faces; 1 triangular base and 3 triangular lateral faces.

Hence, the correct answer would be the second choice.

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

Answer: seven hundred thousand

Answer:

The 7 represents the 10,000

Step-by-step explanation:

Its not the hundred because the 2 in 280 is

Answer:

your answer is 406.

Step-by-step explanation:

4/5 x 10 will equal to 8. 8 times 17 equals 406.

Answer:

c) 10

Step-by-step explanation:

you need to add the white and red marbles which would be 14.

then you subtract 14 by the amount of blue marbles.

Answer:

k ≈ - 0.069

Step-by-step explanation:

Given

A = 800 [tex]e^{kt}[/tex]

Substitute A = 400 and t = 10 into the equation

400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )

0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )

ln [tex]e^{10k}[/tex] = ln0.5

10k lne = ln0.5 [ lne = 1 ]

10k = ln 0.5 ( divide both sides by 10 )

k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )

Answer:

Step-by-step explanation:

400 = 800 * e^(k*t)

What are the units of t? I'm taking it as years.

Divide by 800

400/800 = e^(k*10)

1/2 = e^(k*10)

ln(1/2) = ln(e)^(k*10)

ln(1/2) = k*10 * ln(e)

ln(e) = 1

-0.69314 = k*10

-0.069314 = k

Check

A = 800 e^(-0.069314*10)

A = 800 e^(-0.69314)

A = 800 * 0.50000359

A = 400.0028722

Which is close enough to 400

Answer:

a) 10 cucumbers

b) two fifth x, or 2/5x

c) 15 vegetables

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]

[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]

[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]

[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]

[tex]\mathsf{8\times4=\bf 32}[/tex]

[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]

[tex]\large\textsf{x + 2 = 32}[/tex]

[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]

[tex]\mathsf{x +2-2=32-2}[/tex]

[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]

[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]

[tex]\mathsf{x = 32 - 2}[/tex]

[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]

[tex]\mathsf{32-2=\bf 30}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5

Answer:

$7500

Step-by-step explanation:

Given

[tex]I = 525[/tex]

[tex]R = 3.5\%[/tex]

[tex]T =2[/tex]

Required

The Principal

This is calculated using:

[tex]I =PRT[/tex]

Make P the subject

[tex]P = \frac{I}{RT}[/tex]

So, we have:

[tex]P = \frac{525}{3.5\% * 2}[/tex]

[tex]P = \frac{525}{7.0\%}[/tex]

[tex]P = 7500[/tex]

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2

Answer:

1. 21%   2.  70%

Step-by-step explanation:

1. 21 out of 100 are filled in

2. 7/10 are filled in

Answer:

I don't know I'm sorry.............

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0