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aalyn [17]
3 years ago
13

What’s the answer to 19=3w+7

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

W = -4

Step-by-step explanation:

19 = 3w+7

3w= -19 + 7

3w = -12

w -12/3

w= -4

hope it helps!

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The area of a circle is 100 pi ft2. What is the circumference, in feet? Express your
alexandr402 [8]

Answer:

314 ft²

Step-by-step explanation:

(100 × pi) ft²

100 × 3.14 ft²

314 ft²

4 0
3 years ago
A jet is coming in for a landing. It's currently 25,000 feet in
Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

tanx = \frac{opposite side}{adjacent side}.

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

tan x = \frac{25,000}{45,000} = 0.5555.

So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0
4 years ago
The area of a circular table is 22511 in2.
zzz [600]

Answer:

1. Radius = 84.65 in

2. Circumference = 531.65 in

3. Diameter = 169.3 in

Step-by-step explanation:

1] In order to find the area of a circle, we use the formula

Area of a circle = πr²

Where r is the radius. So substitute the value of the area of the circle in the formula, to find the radius r.

22511 = π r²

r² = 22511 ÷ π

r = \sqrt{22511 / \pi }

<u>r = 84.65 in</u>

2] Now that we found the radius, we can easily find the circumference using the formula:

Circumference of a circle = 2πr

Substitute the value of r in the formula.

Circumference = 2 × π × 84.65

<u>Circumference = 531.87 in</u>

3] The diameter is twice the radius, so:

diameter = r × 2

diameter = 84.65 × 2

<u>diameter = 169.3 in</u>

6 0
3 years ago
The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the
iragen [17]

Answer:

B.) 27ft

Step-by-step explanation:

The labeled points given: (5,18) and (1.5, 7.5)

Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3

A linear model:

y - 18 = 3(x - 5)

y - 18 = 3x - 15

y = 3x + 3

If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)

y = 3(8) + 3

y = 24 + 3

y = 27 ft

Answer:

B.) 27ft

8 0
3 years ago
Read 2 more answers
The equation of a hyperbola is x^2-4y^2-2x-15=0. What is the width of the asymptote rectangle?
zhenek [66]

Answer:  8

<u>Step-by-step explanation:</u>

x² - 2x  + ___ - 4y²  = 15 + ___

x² - 2x  + <u> 1 </u> - 4y²  = 15 + <u> 1 </u>

(x - 1)² - 4(y)² = 16

\frac{(x-1)^{2}} {16} - \frac{4(y - 0)^{2}}{16} = \frac{16}{16}

\frac{(x-1)^{2}} {16} - \frac{(y - 0)^{2}}{4} = 1

r_{x} = 4   r_{y} = 2

width of rectangle is 2(r_{x}) = 2(4) = 8

3 0
3 years ago
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