A fireman leaned a 28 foot ladder against a building. If he placed the ladder 14 feet from the base of the building, what angle is formed between the ladder and the ground

Answer:

x = 45

Step-by-step explanation:

x + 45 + 2x = 180

3x + 45 = 180

3x = 135

x = 45

Answer:

x = 45

Step-by-step explanation:

We know that the three angles of a triangle add up to 180. So we can add all the points equal to 180 to find the value of x.

a + b + c = 180

45 + x + 2x = 180

Combine terms.

45 + 3x = 180

Subtract 45 from both sides.

3x = 135

Divide both sides by 3 to get

x = 45.

To prove this, put x into the original addition of the angles.

45 + x + 2x = 180

Substitute 45 into x.

45 + 45 + 2(45) = 180

Multiply 2 and 45.

45 + 45 + 90 = 180

Add terms.

180 = 180.

Answer:

I don't have the options but I know parallel lines will never touch, they have the same slope, and the distance between the lines never changes

The length of arc PR to the nearest hundredth is 7.15 units

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r = PQ = 5 units

theta = <PQR = 82π/180 rad

Substitute to have:

L = 5 * 82π/180 rad

L = 7.15 units

Hence the length of arc PR to the nearest hundredth is 7.15 units

Learn more on length of an arc here; https://brainly.com/question/2005046

Answer: The answer is 7.16.

Answer:

39 tons

Step-by-step explanation:

35 + 4 = 39

Answer:

54

Step-by-step explanation:

each shelf has 9 books so the equation would be 9x6=54 because there are 6 shelves in total<3

Answer:

purple :0

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

We can use power of a point to solve this problem. From this, we can set up the equation:

MN^2 = LM x MK

MK would be the sum of LM and KL because of segment addition postulate. Therefore, we can say MK = 2 + 6 = 8

Now, we can substitute the values we have in the equation above:

MN^2 = 2 x 8

MN^2 = 16

MN = 4

Answer:

begins the trip with 14 gallons of gas in her car.

The car uses up one gallon of gas every 30 miles.

Let g represent the number of gallons of gas she has left in her tank, and let d

represent the total distance

Step-by-step explanation:d = 30(14 - g)

:

For example, if she uses two gallons, there will be 12 gal left in the tank; g=12

d = 30(14 - 12)

d = 30(2)

d = 60 mi  Here you go

Answer:

4 gallons

Step-by-step explanation:

In order to solve this you need to multiply 1.75 times 4 for the total amount of gallons used. That would equal 7. Since we need to find how much she has left, we need to subtract. 11-7=4.

4 gallons of gas will be left after 4 hours of driving.

Hope this helped!! :)

Answer:

B

Step-by-step explanation:

You count the gradient of the line

All od the gradient is 5 jut b is 55

Thus b is different from the others

Answer:

A

Step-by-step explanation:

I took the test

Answer:

so I belive the answer is -75/16 simplified as -4 11/16

Answer:

B. 291.6 cubic centimetres

Step-by-step explanation:

The formula for volume of a rectangular prism is:

[tex]V=lwh[/tex]

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So:

9 × 7.2 × 4.5 = 291.6

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Have a good day :)

Answer:

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

Step-by-step explanation:

Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{15}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 15[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = 5[tex]\sqrt{3}[/tex] → D

Answer:

80

Step-by-step explanation:

4/(4+5) × 180 = 4/9 × 180 = 80

Answer:

7(9+4)

Step-by-step explanation:

7(9+4)

7×9= 63

7×4= 28

Answer:

Monica used 7( 9 + 4 ) as the equivalent expression

Step-by-step explanation:

First off we have to know what 63 + 28 is, that question equals to a sum of 91.

Then, if you use the 7( 9 + 4 ) expression, you multiply 7 to both 9 and 4.

7 x 9 = 63

7 x 4 = 28

Lastly, if you add those two numbers you got you will get the answer of 91.

Therefore, 7( 9 + 4 ) is the answer to the expression.

Answer:

Volume = 312

Step-by-step explanation:

H=13

B=12

V=6

Answer:

The answer is                        because                                   , hope this helps :)

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

If you look at the first number,count how many in between the next number and the one after that.

Using proportions, it is found that the temperature after 4 hours was of 0º.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The temperature rose 3º every hour, for 4 hours, hence the total rise was of:

R = 3º x 4 = 12º.

Considering the initial temperature, the the temperature after 4 hours was of:

T = -12º + 12º = 0º.

More can be learned about proportions at https://brainly.com/question/24372153

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Answer:

C: 23 centimeters

Step-by-step explanation:

Formula for the Area of a trapezoid is top base + bottom base divide by 2 then multiply the height.

8+14 is 22 divide that by 2 would equal 11.

11 times 23 equals 253

Answer

3 hours 40 mins

Answer:

10 days

Step-by-step explanation:

Given data

Deena drinks 2 cups of milk per day

from table

1 cup = 0.25 quarts

Hence she drinks

0.5quarts per day

Hence if 0.5quarts  last for 1 day

5quarts  will last x days

cross multiply

0.5x= 5*1

x= 5/0.5

x=10 days

Answer:

b

d

a

e

c

Step-by-step explanation:

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

Answer:

A) -30 - x = 10 and -30 - x = –10

Step-by-step explanation:

Part 1:

1) Isolate the variable x

-30 - x = 10

-x = 40

2) Multiply both sides by -1

x = -40

Therefore -30 - x = 10 is correct

Part 2:

1) Isolate the variable x

-30 - x = –10

-x = 20

2) Multiply both sides by -1

x = -20

Therefore -30 - x = –10 is also correct

Final Answer: -30 - x = 10 and -30 - x = –10

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

[tex] d_{t} = d_{1} + d_{2} [/tex]

First, we need to equal the base power 10 so we can sum both distances:

[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]      

Now, average distance:

[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

Answer:

The radious would be 10.59 in

Step-by-step explanation: