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3 years ago

10

You have 324 ft of fabric to make a circular play parachute for kids. What is the radius of the largest parachute you could make

. Round the nearest tenth of a foot

2 answers:

Alexandra [31]3 years ago

6 0

The largest radius would be 18 because the square root of 324 is 18.
As in 18 x 18 = 324

I hope this helps! :)

ratelena [41]3 years ago

5 0

10.2 feet

Divide 3.24 by 3.14 and find the square root of the result.

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Notebook cost $8.50 plus sales tax. After sales tax, The Notebook is $8.86. What is the sale tax rate?

statuscvo [17]

Answer:what is 86-50=36 us the tax rate

Step-by-step explanation:

5 0

3 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

6 0

3 years ago

Area of 23ft^2 what is the length of a square

pentagon [3]

Step-by-step explanation:

Area=23ft²

Side=√23ft²

Side=4.8ft

4 0

3 years ago

Read 2 more answers

What is 2 plus 2 add 14 subtract 6

olasank [31]

What is 2 plus 2 add 14 subtract 6

2+2+14-6=

12

3 0

3 years ago

Read 2 more answers

What is the perimeter of the triangle expressed as a polynomial?

ratelena [41]

Add the polynomials together:
(5x-2)+(2x-3)+(4x+3)
Combine like terms:
(5x+2x+4x) + (-2+-3+3) = 11x-2

So the answer is D.

8 0

3 years ago