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2 years ago

Figures with the same size and shape are

Mathematics

1 answer:

cestrela7 [59]2 years ago

6 0

Congruent figures. Hope that helped.

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A 14-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 fee

timama [110]

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

$hyp^2 = a^2 + b^2$

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

$14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet$

The wall reaches 10.7 feet high.

3 0

3 years ago

Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

8 0

2 years ago

Find each sum. (-3)+2

iren2701 [21]

Hope this will help

4 0

2 years ago

Read 2 more answers

How to divide 83.7 by 0.03

Mandarinka [93]

The answer would be 2790

6 0

2 years ago

Find the unknown sides of the triangle

DedPeter [7]

Answer:

the unknown side of the triangle is $2\sqrt{21}$

Step-by-step explanation:

$a^2+b^2=c^2$

$4^2+b^2=10^2$

$16+b^2=100$

$b^2=100-16$

$b^2=84$

$b=\sqrt{84}$ or $2\sqrt{21}$

7 0

2 years ago