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Sonbull [250]
3 years ago
11

A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th

e 16 ft ladder against a house 30-degree angle. Which ladder will he climb to the higher height? Explain you answer
Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

12 feet ladder

Step-by-step explanation:

Height of 12 ft ladder :

Using Pythagoras :

Tan θ = Adjacent / hypotenus

Tan 57 = h / 12

1.5398649 * 12 = 18.48 feets

For 16 feet ladder :

Tan θ = Adjacent / hypotenus

Tan 30 = h / 16

0.5773502 * 16 = 9.24 feets

18.48 > 9.24

Hence, he'll climb the 12 feets ladder to the higher height

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What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of
Mrrafil [7]

Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

7 0
3 years ago
Help me out please will mark you BRAINLIST
melisa1 [442]

Answer:

D. 18.68

Step-by-step explanation:

27\div \frac{5}{3}-6+53\times (\frac{2}{5})^2

Applying PEMDAS as order of operations.

Solving the exponents first [(\frac{2}{5})^2=\frac{4}{25}]

=27\div \frac{5}{3}-6+53\times \frac{4}{25}

Multiplying [53\times \frac{4}{25}=8.48]

=27\div \frac{5}{3}-6+8.48

Dividing [27\div \frac{5}{3}=16.2]

=16.2-6+8.48

Adding and subtracting.

=18.68

6 0
3 years ago
Find the distance between theses points:(8,0),(-6,6). Round answer to nearest tenth if necessary.
11111nata11111 [884]

Answer:

Chicken strips

Step-by-step explanation:

Dont ask they are just on my mind

7 0
3 years ago
One side of a rectangle is 20 cm larger than the other side. If you make the smaller side two times larger and the larger side t
grandymaker [24]
Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!
3 0
3 years ago
How to write three hundred million twenty two thousand
DedPeter [7]
300,022,000.

Don't quote me on that, I'm really not all that good at math.
4 0
3 years ago
Read 2 more answers
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