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Gelneren [198K]
3 years ago
10

A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t

op of the ladder? Round to the nearest tenth of a foot.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

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Is this a right triangle? Hypotenuse is 15 adjacent is 9 and the opp is 12
scoray [572]

Answer:

Yes

Step-by-step explanation:

A right triangle's formula, according to Pythagorean's Theorem, is a² + b² = c². a and b are the two legs, and c is the hypotenuse. To solve, we must substitute the variables with the given measurements.

9² + 12² = 15²

Let's now solve:

81 + 144 = 225

225 = 225

The formula works out in the end, so it is a right triangle!

4 0
2 years ago
Select the correct answer from each drop-down menu.
matrenka [14]

Answer:

1: Distribute -2 to 5x and 8.

2:Subtract 6x.

3:Add 16.

4:Divide by -16.

Step-by-step explanation:

5 0
2 years ago
What number exceeds 23 by 4 more than twice the amount by which 15 by -3
hodyreva [135]

Answer:

The required number is 63    

Step-by-step explanation :

Let the number be x

Now As per question , the equation is written as

     x - 23 = 2 × [ 15 - ( - 3) ] + 4

Or, x - 23 = 2 × ( 18) + 4

Or , x - 23 = 36 +4

Or,  x - 23 = 40

So, x = 40 + 23

∴    x = 63

Hence the required number is 63      Answer

6 0
3 years ago
Please help me....<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B22%7D%7B7%7D%20%20%20%5Cdiv%20%20%5Cfrac%7B22%7D%7B7%7D
Greeley [361]
<h3><u>Answer</u> :</h3>

\sf \dashrightarrow \dfrac{22}{7} \div \dfrac{22}{7}

\sf \dashrightarrow \dfrac{22}{7} \times \dfrac{7}{22}

\sf \dashrightarrow \dfrac{\cancel{22}}{\cancel{7}} \times \dfrac{\cancel{7}}{\cancel{22}}

\sf \dashrightarrow 1 \times 1

\sf \dashrightarrow 1

<h3>Hence, answer is 1.</h3>
4 0
2 years ago
Read 2 more answers
A study finds a correlation coefficient of r = .32. This number gives you information about which of the following? Group of ans
Mrac [35]

Answer:

Strength and direction of the relationship.

Step-by-step explanation:

Given that A study finds a correlation coefficient of r = .32. This number gives you information about which of the following?

Group of answer choices Type of relationship and importance Statistical validity and external validity Statistical significance and effect size Strength and direction of the relationship.

We know that correlation coefficient represented by r is a measure of association between two variables.  r can lie between -1 and 1.  While negative correlation suggests inverse relationship positive a positive association.

0 correlation means the two variables are independent.  

If nearer to 0, it represents weak correlation and nearer to 1 than 0 represents strong correlation.

Here r =0.32 a weak positive correlation

r represents

Strength and direction of the relationship.

6 0
2 years ago
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