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natulia [17]
3 years ago
13

Grade 8- The Pythagorean Theorem

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0
1) pythagorean theorem = a2 + b2 = c2
SO:
10^2 + 6^2 = c2
100 + 36 = c2
136 = c2
Diagonal should equal about 11.66 meters

2)  pythagorean theorem = a2 + b2 = c2
SO:12.7^2 + 8.9^2 = c2
161.29 + 79.21 = c2
240.5 = c2
Elevation should equal about 15.1 degrees
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Simplify and solve for x <br><br>5 (x + 20) = 7x + 30​
yarga [219]

Answer:

x = 35

Step-by-step explanation:

5(x + 20) = 7x + 30​

Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.

5x + 100 = 7x + 30

Subtract 7x from both sides.

-2x + 100 = 30

Subtract 100 from both sides.

-2x = -70

Divide both sides by -2.

x = 35

4 0
3 years ago
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A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to
frozen [14]

Answer:

11.28m

Step-by-step explanation:

The computation of the height of the spire is shown below:

let us assume the height of the spire be x

Now

For triangle ABD

Tan 43 degrees = h ÷ x

x = h × cot 43 degrees

= 1.07236 h

For triangle ABC

tan 15 degrees = h ÷ (30 + x)

0.2679 = h ÷ 30 + 1.07236h

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8 0
3 years ago
My son is seven times older than my grandson and I am 12 times older than my grandson. If you add all our ages together, the sum
Andrej [43]
To solve this problem you first need to establish what it is you are looking for.. if you knew the grandson age then you could find your son and you.  So that is what we need to find and since we don't know it, we will call it x.

Grandson = x
Son = 7x
You = 12x

Then it says the sum of the 3 is 100.... x + 7x + 12x = 100 then solve and find that x = 5.  So to determine your age, just put 5 in for x and you get 60... dang your old ha
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3 years ago
125^-1/3 integer or a​ fraction.
kenny6666 [7]
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2 years ago
A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.8982

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that s = 0.55

What is the margin of error for her 99% confidence interval?

M = T\frac{s}{\sqrt{n}}

M = 2.8982\frac{0.55}{\sqrt{18}}

M = 0.3757

The margin of error for her confdence interval is of 0.3757.

7 0
3 years ago
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