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Nutka1998 [239]
2 years ago
8

A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the

building. If the
ladder reaches 23 ft above the ground, how long is the ladder. Round your answer to the nearest tenth
Mathematics
1 answer:
andrezito [222]2 years ago
5 0

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818

Taking square root on both sides

\sqrt{c^2}=\sqrt{818}\\c=28.6

Hence,

The ladder is 28.6 feet long.

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How many solutions does the system have? <br> y=3x-1<br> y=-2x+4
guapka [62]

Answer:

This system has one answer.

Step-by-step explanation:

This system only has one answer which are: x=1  y=2

Hope this helped! :)

8 0
3 years ago
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Emerson struck out 112 times in 350 at-bats. What is the percent of strike outs per at-bat?
Natasha2012 [34]

We are told that Emerson struck out 112 times in 350 at-bats. We are asked to find the percent of strike outs per at-bat.

Let us find out 112 is what percent of 350.

\text{Percentage of strike outs per at-bat}=\frac{112}{350} \cdot 100

\text{Percentage of strike outs per at-bat}=0.32 \cdot 100

\text{Percentage of strike outs per at-bat}=32

Therefore, Emerson struck out 32% of the at-bats.

6 0
3 years ago
-6c&lt; -12<br> what will the answear be
murzikaleks [220]

Answer:c>2

Step-by-step explanation:

-6c (divide) (-6) > -12 (divide) (-6)

c>-12 (divide) (-6)

c>12 (divide) 6

c> 2

8 0
2 years ago
Richie and bethany play basketball and practice shooting free throws after school. During one practice session, Richie attempted
mamaluj [8]

Answer:

<em>Bethany did not do better than Richie because her average score was less than his.</em>

Step-by-step explanation:

<u>Average Value</u>

The average or mean value of m successes out of n tries is given by:

\displaystyle \bar x=\frac{m}{n}

During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:

\displaystyle \bar x=\frac{12}{15}=0.8

Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:

\displaystyle \bar x=\frac{8}{11}=0.72

Bethany did not do better than Richie because her average score was less than his.

5 0
2 years ago
A rectangle has a base of 5cm and a width of 6cm, what is its area in square centimeters?
dusya [7]

Answer:

area of rectangle is lb

5×6= 30cm²

6 0
2 years ago
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