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3 years ago

Provide answers for part a,b, and c. Show work for part c.

Mathematics

1 answer:

schepotkina [342]3 years ago

6 0

Answer:

Step-by-step explanation:

PART A

The Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

PART 2

The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7

PART C

To determine x, we will apply the Pythagoras theorem as stated above.

Opposite side = √14

Adjacent side = x

Therefore

7^2 = x^2 + (√14)^2

49 = x^2 + 14

x^2 = 49-14 = 35

Taking square root of both sides of the equation, it becomes

x = √35

x = 5.92

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If the center of a circle is at (3,-6) and the diameter is 10 units, what is the equation for the circle

VARVARA [1.3K]

Answer:(x-3)^2+(y+6)^2=25

Step-by-step explanation:

Center Of The circle is at (3,-6)

Diameter=10

Radius(r)=10/2

Radius(r)=5

a=3

b=-6

Equation of circle=(x-a)^2+(y-b)^2=r^2

Equation of circle=(x-3)^2+(y-(-6))^2=5^2

Equation of circle=(x-3)^2+(y+6)^2=25

6 0

3 years ago

PLEASE HELP!!!! I NEED TO GET THIS DONE!!!

exis [7]

Step-by-step explanation:

$\frac{6}{4} = 1.5$

m<G = 180-90-37= 53°

measure of DG = 5*1.5= 7.5

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2 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95%of all males. (Accommodating 100%

Anarel [89]

Answer:

Upper P95 = 16.21in

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 14.4, \sigma = 1.1$