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omeli [17]
4 years ago
7

Please help.god bless you all you guys awesome

Mathematics
2 answers:
Nina [5.8K]4 years ago
7 0
Answer: 32

Step 1: Formula

Let’s rewrite the formula for Pythagorean theorem

a²+b²=c²

The c is going to be the hypotenuse, which is the longest angle. This number is 40 in this equation.

We know that we need to solve for b, meaning that a is 24. Let’s substitute these numbers into the equation.

a²+b²=c²

24²+b²=40²

We see that the numbers have a squared sign next to them. Though we can’t square b, we can for 24 and 40. Let’s do this now.

24²+b²=40²

576+b²=1600

We want to get b² in the left side alone. So let’s subtract 576 on both sides.

576+b²=1600
-576 -576
___________
b²= 1024

Now since b is still squared we need to undo that. Let’s do this by finding the square root on both numbers/variables.

b²= 1024

√b²= √1024

Now let’s find the answer to find the final answer for b.

√b²= √1024

b= 32

This is the answer!

Hope this helps comment below for more questions :)
almond37 [142]4 years ago
5 0

Answer:

b = 32

Step-by-step explanation:

If we are talking a² + b² = c² instead of looking for the hypotenuse we look for a leg and it doesnt matter where it is placed.. so for there forth you'll do

24² + b² = 40²

and then from there you square all the numbers so then you get

576 + b² = 1600

then subtract 576 from both sides so you are left with

b² = 1024

and finally square root it

b = 32

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Answer:

99.7% data lies between 13 to 43

Step-by-step explanation:

Mean:  \mu = 28

Standard deviation : \sigma = 5

68% of data lies between \mu - \sigma to \mu +\sigma

95% of the data lies between \mu - 2\sigma to \mu +2\sigma

99.7% data lies between  \mu - 3\sigma to \mu +3\sigma

We are supposed to find  99.7 of the data will lie between which​ values

99.7% data lies between  28 - 3(5) to 28 +3(5)

99.7% data lies between  13 to 43

Hence 99.7% data lies between 13 to 43

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3 years ago
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alina1380 [7]

Answer:

4,3

Step-by-step explanation:

8 0
3 years ago
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In ΔGHI, the measure of ∠I=90°, the measure of ∠G=21°, and GH = 31 feet. Find the length of IG to the nearest tenth of a foot. p
kakasveta [241]

Answer:

28.9

Step-by-step explanation:

cosG=

hypotenuse

adjacent

​

=

31

x

​

\cos 21=\frac{x}{31}

cos21=

31

x

​

31\cos 21=x

31cos21=x

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x=28.941≈28.9 feet

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Marta_Voda [28]

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The article "Influence of Penetration Rate on Penetrometer Resistance" (see textbook for reference) presents measures of penetra
snow_tiger [21]

Answer:

The 95% of confidence interval for the mean penetration resistance for this soil is (2.0823, 3.1977).

Step-by-step explanation:

The sample size is 15.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

df = 15-1 = 14

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 14 and 0.025 in the t-distribution table, we have T = 2.145.

Now, we need to find the standard deviation of the sample. That is:

s = \frac{1.02}{\sqrt{15}} = 0.26

Now, we multiply T and s

M = T*s = 2.145*0.26 = 0.5577

For the lower end of the interval, we subtract the mean by M. So 2.64 - 0.5577 = 2.0823

For the upper end of the interval, we add the mean to M. So 2.64 + 0.5577 = 3.1977

The 95% of confidence interval for the mean penetration resistance for this soil is (2.0823, 3.1977).

7 0
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