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4 years ago

A 30 -60 -90 degree triangle has a hypotenuse with a length of 10. What is the length of the longer leg of the triangle?

Mathematics

1 answer:

Degger [83]4 years ago

6 0

Answer:

the right answer is 5√3 believe me i took this quiz

Step-by-step explanation:

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For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid

Varvara68 [4.7K]

The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.

Using the Pythagoras rule
Height of triangle = $\sqrt{12^{2}+ 5^{2} } =13$

Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches

3 0

4 years ago

Read 2 more answers

I don’t really understand how you figure out the points of a figure on rotation, please explain!

Basile [38]

To rotate a figure
90 degrees(-y,x)
180 degrees(-x,-y)
270 degrees(y,-x)
If your original point is (1,2) or example and you want to rotate it say 270 degrees the final point would be (2,-1)
Hope this helped!!!!!

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3 years ago

The dependent variable, y is 6 less than the independent variable, x.

Maslowich

D) because “y is” means “y equals” leaving only 2 choices, and it said “6 less than the independent variable, 6. (Y=6-x)

3 0

3 years ago

Divide. <br><br> 7/$7.42 =$___

Damm [24]

7/7.42 = $0.94

Hope this helped :)

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3 years ago

A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip

DochEvi [55]

Answer:

The expression that represents the population of elk is: $\text{elk}(t) = 2*3^t$ . It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at $\text{elk}(0) = 2$ , then after the first year the population will be:

$\text{elk}(1) = \text{elk}(0)*3 = 2*3$

While on the second year, it'll be:

$\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2$

On the third year:

$\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3$

And so on, therefore the expression that describes the population of elk as the years passes is:

$\text{elk}(t) = 2*3^t$

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

$1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6$

The population will reach 1,458 elk in 6 years.

8 0

3 years ago