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2 years ago

Two ladders AB and PQ are resting against opposite

Mathematics

1 answer:

muminat2 years ago

5 0

Answer:

The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225

x = √1225

x = 35 ft

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The perimeter of a rectangular field is 26 yards. The length is 4 more yards than twice the width. Find the length and width of

solong [7]

The formula for perimeter is P = 2length + 2width (P = 2L + 2W)

You know that the length is 4 more yards then twice the width. In equation form this would be:

length = 4 + 2w

Plug what you know into the perimeter formula:

26 = 2(4 + 2w) + 2w

First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...

26 = (2 * 4) + (2 * 2w) + 2w

26 = 8 + 4w + 2w

Now you must combine like terms. This means that first numbers with the same variables (w) must be combined...

26 = 8 + 4w + 2w

4w + 2w = 6w

26 = 8 + 6w

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

26 - 8 = 8 - 8 + 6w

18 = 0 + 6w

18 = 6w

To isolate w divide 6 to both sides

18 / 6 = 6w / 6

w = 3

We know that the width is 3 ft

Now you must find the length. To do this plug 3 where you see w in the equation:

length = 4 + 2w

l = 4 + 2(3)

l = 4 + 6

l = 10

We know that length is 10 ft

Letter B. is the correct answer

Hope this helped!

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4 0

3 years ago

Mr. Alvarez has 36 kids in his 7th period class The ratio of boys to girls is 5:7. How many boys are there? How many girls are t

Eddi Din [679]

Answer: 15 boys

Explanation: ratio 5:7

5 + 7 = 12

Number of boys = 5/12 × 36

4 0

3 years ago

What is the difference in height from the top of the pillar to the bottom of the pillar ?

stiks02 [169]

Answer:

i think the difference in height from the top to the bottom is 8ft

8 0

3 years ago

If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)

Luda [366]

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}$

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

$(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0$

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

#learnwithBrainly

4 0

3 years ago

Read 2 more answers

The radius of a circle is 3 miles. What is the length of a 90° arc?

stealth61 [152]

Answer:

The length of the arc is 4.6375 miles

Step-by-step explanation:

Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.

2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles

Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.

x/360 ---> 90/360 ---> = 0.25

Lastly multiply the two numbers.

18.55 * 0.25 ---> 4.6375 miles is your answer.

<em>(you may need to round your answer if needed)</em>

3 0

3 years ago