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Sedaia [141]
2 years ago
14

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The

ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of 77^{\circ}  the ground.

<h3>What is the sin ratio?</h3>

sin(\theta)=\frac{perpendicular \ side}{hypotenous}

Therefore we get,

\implies\frac{22}{H} =sin(77)

\implies H=22/sin(77)

\implies 22.59ft\\\\=23ft

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

#SPJ1

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193 times hope this helps

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brian has 2,000 small building blocks. he decided to share them with his cousin,tia . he gave tia 1/4 of the blocks .how many bl
baherus [9]
First, we need to find 1/4 of 2000 in order to find how many blocks he gave away. To do this, we need to do 1/4*2000 to get 2000/4. This can be simplified to 500 by dividing the numerator and denominator by 4. 

Then, we can do 2000-500 to find that he must have had 1500 blocks left.

Hope this helps.
6 0
3 years ago
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What is the common denominator of -1/y and 2/5y
Anarel [89]
-1/y = 2/5y. The change from -1 to 2 would be -2, so we now that the change from y to 5y would also have to be -2. -2 = -10 so you multiply by 5. After doing the same to the top you would come to the conclusion that the LCD would be 5y.  Hope this helps!
4 0
3 years ago
Simplify - root (9+y)^2 if y &lt;-10
nevsk [136]

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

6 0
3 years ago
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn.
Harlamova29_29 [7]

Answer:

(A) 0.04

(B) 0.25

(C) 0.40

Step-by-step explanation:

Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.

Given:

R = 8, G = 10 and W = 2.

Total number of chips = 8 + 10 + 2 = 20

P(R) = \frac{8}{20}=\frac{2}{5}\\P(G)=  \frac{10}{20}=\frac{1}{2}\\P(W)=  \frac{2}{20}=\frac{1}{10}

As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.

(A)

Compute the probability of selecting a white chip on the first and a red on the second as follows:

P(1^{st}\ white\ chip, 2^{nd}\ red\ chip)=P(W)\times P(R)\\=\frac{1}{10}\times \frac{2}{5}\\ =\frac{1}{25} \\=0.04

Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.

(B)

Compute the probability of selecting 2 green chips:

P(2\ Green\ chips)=P(G)\times P(G)\\=\frac{1}{2} \times\frac{1}{2}\\ =\frac{1}{4}\\ =0.25

Thus, the probability of selecting 2 green chips is 0.25.

(C)

Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:

P(2^{nd}\ red\ chip|1^{st}\ white\ chip)=\frac{P(2^{nd}\ red\ chip\ \cap 1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\=\frac{P(2^{nd}\ red\ chip)P(1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\= P(R)\\=\frac{2}{5}\\=0.40

Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.

6 0
3 years ago
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