A 43-foot ladder is leaning against a building and forms a 29. 37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21. 09 feet 24. 20 feet 37. 47 feet 49. 34 feet.

Answer:

CEFA

Step-by-step explanation:

1. [tex]p=2(2x)+2(3x+2)=4x+6x+4=10x+4[/tex]

2. [tex]p=2(x)+2(4x+1)=2x+8x+2=10x+2[/tex]

3. [tex]p=2(7)+2(x+5)=14+2x+10=2x+24[/tex]

4. [tex]p=2(5)+2(4x-3)=10+8x-6=8x+4[/tex]

Hope this helps

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

12. Arithmetic

xn = a + (n-1) d

n = 5 (three aritmetic, 4 and 12)

Input the value:

12 = 4 + 4d

8 = 4d

d = 2

the value: 4, 6 , 8 , 10 , 12

13. Arithmetic

xn = a + (n-1) d

n = 4 (two aritmetic, 4 and 19)

Input the value:

19 = 4 + 3d

15 = 3d

d = 5

the value: 4, 9 , 14 , 19

14. geometric

[tex]\tt a_n=ar^{n-1}[/tex]

n = 4 (two geometric, 2 and 54)

input the value:

52 = 2r³

r = 3

the value: 2, 6, 18, 54

15. geometric

[tex]\tt a_n=ar^{n-1}[/tex]

n = 4 (two geometric, 5 and 40)

input the value:

40 = 5r³

r = 2

the value: 5, 10, 20, 40

Answer:  5 & 7/10 hours

Work Shown:

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

total gas used = (gas used per hour)*(number of hours)

4.75 = (5/6)x

(5/6)*x = 4.75

x = (6/5)*4.75

x = 5.7

x = 57/10

x = (50+7)/10

x = 50/10 + 7/10

x = 5 + 7/10

x = 5 & 7/10

Using the normal distribution, it is found that 59.09% of students scored above 75 points.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The proportion of students who scored above 75 points is 1 subtracted by the p-value of Z when X = 75, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 76.4}{6.1}[/tex]

[tex]Z = -0.23[/tex]

[tex]Z = -0.23[/tex] has a p-value of 0.4091.

1 - 0.4091 = 0.5909

0.5909 = 59.09% of students scored above 75 points.

You can learn more about the normal distribution at https://brainly.com/question/24663213

Answer:

See answer below

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi r^3[/tex]               2km = radius

[tex]V=\frac{4}{3}\pi (2)^3[/tex]

[tex]V = \frac{4}{3}\pi (8)[/tex]

[tex]V = \frac{4}{3}(8)\pi[/tex]

[tex]V =\frac{32}{3}\pi[/tex]     [tex]\pi =3.14[/tex]

[tex]V = \frac{32}{3}(3.14)[/tex]

[tex]V = 33.493[/tex]

V≈ 33.49        

Using π on the calculator

[tex]V = \frac{32}{3} \pi[/tex]

[tex]V = 33.510[/tex]

V ≈ 33.51

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

[tex](2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }[/tex]

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

[tex]b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}[/tex]

Approximate difference between √12 and √15 on plotted number line is 0.4. Option B is the correct option.

The number line is the way of representation of number and digits in an arranged form to understand the data batter.

The number line going from 0 to 4. √12 is to the right of 3, and √15 is to the right of √12. Therefore, the arranged value on the number line appears as,

3,   √12,   √15

In the number line given, the value of √12 is near 3.4 and the value of √15 is near 3.8. The difference between both the values is,

[tex]d=3.8-3.4\\d=0.4[/tex]

The approximate difference in tenths between √12 and √15 on the plotted number line is 0.4. Option B is the correct option.

Learn more about the number line here;

https://brainly.com/question/24644930

Answer:

its c 28

Step-by-step explanation:

Answer:

Choose any number to be the variable x, then multiply it by 13.2 for your answer.

Step-by-step explanation:

Choose a number for the variable x, and put it in the box with parentheses.

Then, multiply it by 13.2 for your final answer, and put it in the open box.

Hope this helps. Btw, can I have Brainliest? PLEASE PLEASE PLEASE?!

[tex] \tt \to \dfrac{96}{8} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \to \: 12 \: stickers[/tex]

Verify:-

12 × 8 = 96

hope it helped u!

Answer:

96/8

I promise you that it os

Answer:

In year 6 monthly rent would cost you $1650 and it would cost $19,800 for the whole year of year 6

Step-by-step explanation:

1200x12=14,400 = year 1

1290x12=15,480=year 2

1380x12=16,560=year 3

1470x12=17,640=year 4

1560x12=18,720=year 5

1650x12=19,800=year 6

The monthly rent during the 6th year of apartment is A = $ 1,650

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

After each year, the rent goes up by $90, so in the second year the rent would be $1200 + $90 = $1290 per month, in the third year it would be $1290 + $90 = $1380 per month, and so on

On simplifying the equation , we get

Therefore, during the 6th year of living in the apartment, the monthly rent would be:

A = $1200 + ($90 x 5)

A = $1200 + $450

A = $ 1,650

Hence , the monthly rent is A = $ 1,650

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

20

Step-by-step explanation:

This equation is in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. Therefore, the slope is 20

Answer:

c. having two solutions

Answer:

C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations

Answer:

we can write [tex]x^{\frac{1}{2} }[/tex] as [tex]\sqrt{x}[/tex] in radical form.   { fact }

Answer:

Radius=10cm

Diameter=20cm

Hope this helps :))))

Answer:

x^2 - 1 = 0

3x^2 - 15x = 0

x^2 - 3x = 0

Step-by-step explanation:

Sorry if I am wrong.

Answer:

$ 11699.69

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Add 5 to each preceding number

               [tex]a_{n}[/tex] = ([tex]a_{n-1}[/tex])+5

1 9  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

6 34 34  [29+5]

Answer:

1 × 24 = 24          1, 24

2 × 12 = 24          2, 12

3 × 8 = 24          3, 8

4 × 6 = 24          4, 6

6 × 4 = 24         6, 4

8 × 3 = 24         8, 3

12 × 2 = 24        12, 2

24 × 1 = 24        24,1

Step-by-step explanation:

Hi!

I can help you with joy!

Remember, the product of means we multiply 2 numbers.

There are lots of ways we can write 24 as a product of 2 factors:

1×24

2×12

3×8

4×6

And the other way around as well:

6×4

8×3

12×2

24×1

Hope it helps!

Enjoy your day!

~Misty~

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} *h[/tex]

Given:

a = 11

b = 35

h = 14

Work:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

You already have the answer. It is "One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof." which looks correct to me.

Answer:

The sales tax is equal to 5.6%

Step-by-step explanation:

To solve first we have to subtract the item's cost before sales tax from the total due. 91.08 - 86.25 = 4.83.

Next we take the amount we payed as tax and divide it by the pre-tax price. 4.83/86.25 = 0.056

Lastly we take 0.056 and convert it to a percentage. This can be accomplished by moving the decimal sign to 2 times to the left or multiplying the tax rate by 100.

The sales tax percentage is equal to 5.6%

Hope this helps you out :)

Answer:16470

Step-by-step explanation: I don’t know if there all adding together cause there’s not much information

Answer:

54,691,002

Step-by-step explanation:

Answer:

They have already traveled 20.25 miles.

Step-by-step explanation:

To find out how far they've already traveled, we need to subtract the length of the road trip and the distance until their final destination.

32.75-12.5=20.25

Answer:20.25

Step-by-step explanation:

just subtract the length of the road trip and the distance to their final destination.

Answer:

(3x+2) + (2x-2) = 2*15

....

Answer:

c letter is correct I think....

Answer:

4cm

Step-by-step explanation:

:)

Answer:

7 units

Step-by-step explanation:

the distance between -2 and 4 on the x axis is 7

and then i found the middle point and tried to find the length of it on the y axis

Answer:

75°

Step-by-step explanation:

1:2:3

so there are a total of 6 parts. Then, each part would be:

=) 150÷6= 25

The largest angle is 3 parts. so, if 1 part is 25, 3 parts is 25×3= 75

The largest angle is is 75°

Hope this helps!