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balu736 [363]
2 years ago
7

HELP ASAP 10 POINTSSSS

Mathematics
1 answer:
lord [1]2 years ago
6 0

Use the Pythagorean theorem   (a^2 + b^2 = c^2)

7^2 + 24^2 = x^2

x^2 = 625

x = 25

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Please help and explain why!
scoundrel [369]
1) The measures of the opposite angles of an inscribed quadrilateral are supplementary, add up to 180.

That means that angle ROP and angle RQP are supplementary.

We can add them and set them equal to 180 so that we can solve for x first.

∠ROP + RQP = 180
x + 17 + 6x - 5 = 180
7x + 12 = 180
7x = 168
x = 24

Now use the 24 for x and solve for the measure of angle ROP.

∠ROP = x + 17
∠ROP = 24 + 17
∠ROP = 41

The answer is A

2) The answer is A.

Hope this helps :)
4 0
3 years ago
Solve Systems by Substitution<br> 2x+5y=-3<br> x+8y=4<br> and<br> 2x+y=7<br> x-2y=-14
ASHA 777 [7]
2x + 5y = -3 ⇒ 2x +   5y = -3 
1x + 8y =  4 ⇒ <u>2x + 16y = 8
</u>                               -<u>11y</u> = <u>-11 </u>
                                -11     -11
                                    y = 1
                        2x + 5(1) = -3
                            2x + 5 = -3
                            <u>      -5     -5</u>
                                  <u>2x</u> = <u>-8</u>
                                   2      2
                                    x = -4
                              (x, y) = (-4, 1)

2x + 1y = 7     ⇒ 2x + 1y = 7
1x -  2y = -14 ⇒ <u>2x  - 4y  = -28</u>
                                   <u>5y</u> = <u>35</u>
                                    5      5
                                     y = 7
                             2x + 7 = 7
                             <u>      -7   -7</u>
                                   <u>2x</u> = <u>0</u>
                                    2     2
                                    x = 0
                              (x, y) = (0, 7)
4 0
3 years ago
What is the value of cos A?
BlackZzzverrR [31]

Step-by-step explanation:

  • h²=p²+b²
  • h²=24²+7²
  • h²=576+49
  • h=√625
  • h=25

tanA=p/h

  • 24/25

its yr ans

hope it helps.

<h2>stay safe healthy and happy....</h2>
3 0
2 years ago
Help need by tomorrow plzzz
aliya0001 [1]
11.) 1.5
12.)17 1/2
13.)543
533+10
( Just remember absolute value.)
14.)$ 75.15

3 0
3 years ago
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil
Debora [2.8K]

Answer:

statistic value t= 5.43

p-value: < 0.00001.

Step-by-step explanation:

Hello!

To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.

The study variable is:

X: Max. penetration of a steel conduit.

The data of the sample

n= 45

sample mean X[bar]= 53.4

sample standard deviation S= 4.2

The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50

The hypothesis is:

H₀: μ ≤ 50

H₁: μ > 50

α: 0.05

To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.

Under the null hypothesis, the critical region and the p-value are one-tailed.

Critical value:

t_{n-1; 1-\alpha } = t_{44; 0.95} = 1.68

Rejection rule:

Reject the null hypothesis when t ≥ 1.68

t= \frac{53.4 - 50}{\frac{4.2}{\sqrt{45} } }

t= 5.43

The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.

p-value:

P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.

The p-value is less than α so the decision is to reject the null hypothesis.

Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.

I hope it helps!

4 0
3 years ago
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