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2 years ago

How to find the height of a 30-60-90 triangle with hypotenuse = 8, and base = 8sqrt.3. Please help find answer fast!

1 answer:

5 0

For a 30-60-90 triangle
if the shorter leg (oposite 30 degrees) is x then the other leg is x√3 and the hyptonuse is 2x

so
hyptonuse=8
8=2x
4=x

longer leg is 4√3, yep
so shorter leg or height will be 4 units

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A triangular flag has an area of 187.5 square inches. The base of the flag measures 25 inch How tall is the triangular flag?

djyliett [7]

To find the height, you would do the area divided by the base, or in this case,187.5 / 25 which equals 7.5 inches. Hope this helped!

3 0

3 years ago

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of th

astra-53 [7]

Answer:

The value of the standard error for the point estimate is of 0.0392.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that $n = 100, p = \frac{81}{100} = 0.81$

Give the value of the standard error for the point estimate.

This is s. So

$s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392$

The value of the standard error for the point estimate is of 0.0392.

7 0

2 years ago

Is the point (4,2) the solution to the system? Why or why not? Explain your reasoning.

VMariaS [17]

Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10

4+2=6

so it’s not a solution

4 0

2 years ago

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig.

Ronch [10]

Answer:

Giraffe = 10

Guinea Pig = 4

Tiger = 16

Step-by-step explanation:

G GP T = 30

----------------------------------------------------------

X X-6 (X-6)*4

-----------------------------------------------------------

9 3 12 = 24

----------------------------------------------------------

10 4 16 = 30 ✅

----------------------------------------------------------

4 0

2 years ago

Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the

ollegr [7]

actually box 3 is correct.

because their radiuses are easy to find

but the tangent line is x=-4 or x=4

6 0

3 years ago