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ExtremeBDS [4]
2 years ago
14

Find the unknown measures. around lengths to the nearest hundredth and angle measures to the nearest degree.

Mathematics
1 answer:
qaws [65]2 years ago
5 0

Answer:

choice 3)

JK = 3.51

WK = 9.15

∠J = 69°

Step-by-step explanation:

sin 21° = JK/9.8

0.3584 = JK/9.8

cos 21° = WK/9.8

0.9336 = WK/9.8

WK = 9.15

∠J = 90° - 21° = 69°

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GREYUIT [131]
8x + 3c = 2200
11xc= 2200
2200÷11
200
200xc
5 0
2 years ago
A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commis
DedPeter [7]

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $x

As per question statement:

Salary as per Plan 1 = $500 + 4% of x

Salary as per Plan 2 = 8% of x

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of x = 8% of x

\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

4 0
2 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
  • r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0
2 years ago
Find the center of the circle that you can circumscribe about EFG, when E(2, 6), F(2, 2), and G(8, 2).
Vlad1618 [11]
After plotting all the points, the only one that makes sense is (4,3).

7 0
3 years ago
Someone please help!​
umka21 [38]
Im not sure, when in doubt pick C
3 0
2 years ago
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