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jolli1 [7]
3 years ago
10

Help (pic attached!!)

Mathematics
1 answer:
mash [69]3 years ago
7 0
( \sqrt[5]{ 3^{2} } )^{ \frac{1}{3} } =  (3^{ \frac{2}{5} } ) ^{ \frac{1}{3} } = 3^{ \frac{2}{15} }

Answer: C.
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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an
Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0
3 years ago
Find x please and FAST!!!
Vsevolod [243]

Answer:

19

Step-by-step explanation:

Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.

(3x - 5) + 90 + 2x = 180

5x + 85 = 180

5x = 95

x = 19

4 0
2 years ago
A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per h
pickupchik [31]

Answer:

The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

5 0
2 years ago
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo deci
zvonat [6]

Answer:

The thing u pasted is glitched and isn't loading

Step-by-step explanation:

8 0
2 years ago
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