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scoray [572]
3 years ago
14

Solve each equation and check your solution.

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

1. w= 2/7

2. x= 11

3. z =20

Step-by-step explanation:

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Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?
ankoles [38]

Answer:

$1.98

Step-by-step explanation:

6%=0.06

33*0.06=1.98

8 0
3 years ago
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
Someone help please:
frozen [14]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

Cone volume:

V = \frac{\pi r^{2}h}{3}

r is the radius and h is the inches.

Skinny-size cone:

Radius is r, height h. So

V_{sk} = \frac{\pi r^{2}h}{3}

Sharing size:

Radius is now 3r. So

V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h

How many times more popcorn?

r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9

The sharing cone holds about 9 times more popcorn than the skinny cone.

6 0
3 years ago
The large pizza is 16 inch what the circumference plz help
tatuchka [14]

Answer:

50.265 inches

Step-by-step explanation:

4 0
3 years ago
What’s.the perimeter of a square with an area of 49 cm2
Free_Kalibri [48]

Answer:

<h3>28</h3>

Step-by-step explanation:

Area of a square =

s^2

Perimeter =

4\times s

Where s = side

Solve for s using the area

A =49\\\\49 = s^2\\\\Square\:root \:both\:sides\:of\:the\:equation\\\\\sqrt{49} = \sqrt{s^2} \\\\7 =s\\\\s =7

Find the perimeter

4\times s\\\\= 4 \times 7\\\\= 28

8 0
3 years ago
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