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S_A_V [24]
3 years ago
15

A 12 ft ladder is leaning against a building. The ladder makes a 45 degree angle with the building how far up is the building do

es the ladder reach
Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

The ladder reach a height 8.485 ft.

Step-by-step explanation:

The ladder with the building made right angle triangle

The length of the ladder is the hypotenuse 12 ft.

The angle between the ladder and the building is 45°

The height of the ladder reach is the vertical side of the Δ

∴ h = 12 cos 45° = 6√2 = 8.485 ft.

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Find the value of x that makes Triangle DEF~ triangle XYZ.
BartSMP [9]

Answer:

x = 4

Step-by-step explanation:

DE / XY = EF / YZ

5 / 10 = 2x-1 / 14

cross-multiply:

10(2x-1) = 14(5)

20x - 10 = 70

20x = 80

x = 4

8 0
3 years ago
Two right triangles are similar. The legs of one of the triangles are 5 and 12. The second right triangle has a hypotenuse with
prohojiy [21]

Answer:

b. 1:3

Step-by-step explanation:

To find the hypotenuse of the first triangle, use a^2 + b^2 = c^2

c = sqrt (5^2 + 12^2)

c = 13

From here, since they are similar, you can set up a proportion

13:39

1:3

7 0
3 years ago
Chegg An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 yea
Alex

Answer:

h(t) = 1.5t²/2 + 4t +12

Step-by-step explanation:

The growth rate is given by

dh/dt = 1.5t + 4

To determine the height of the seedlings we integrate the rate with respect to t.

The integral of dh/dt = integral of 1.5t + integral of 4

The integral of dh/dt = h

The integral of dh/dt = 1.5t²/2 + 4t

So at t = 0

h = 12

That makes the equation

h = 1.5t²/2 + 4t +12

Where 12 is the constant

So h(t) = 1.5t²/2 + 4t +12

Will give us the height after t years

8 0
3 years ago
I got 60 right out of 110 questions on a test. What was my overall grade/percentage?
Margaret [11]
What you do is you make it into a fraction. You got 60 out of 110, so that's 60<u />/110. Because all fractions are practically division problems, that's 60 ÷ 110 = 0.5454545454...
Times that by 100 to get the percentage.
6 0
3 years ago
Read 2 more answers
You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cos
slava [35]

Given:

You and your friend each purchase an equal number n of magazines.

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Total cost = $10.50

To find:

The equation to find number of magazines you purchased.

Solution:

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Number of magazines purchased by you and your friend = n

Total cost = 1.50n+2n

It is given that total cost is $10.50.

1.50n+2n=10.50

3.50n=10.50

Divide both sides by 3.50.

n=\dfrac{10.50}{3.50}

n=3

Therefore, required equation is 1.50n+2n=10.50 and the number of magazines purchased by you is 3.

7 0
3 years ago
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