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3 years ago

I don't know the answer

Mathematics

1 answer:

Arada [10]3 years ago

8 0

Check the picture below

thus, use the pythagorean theorem to get "x"

$\bf c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite
\end{cases}$

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. Mr. Donut wants to paint a donut on the wall of his restaurant. The diameter of the outside edge of the donut will be 22 inche

KATRIN_1 [288]

Answer:

The area needed to be painted is approximately 301.44 square inches.

Step-by-step explanation:

The shape of a donut is represented by two concentrical circles, whose area is described by the following formula:

$A =A_{g}-A_{s}$ (Eq. 1)

Where:

$A$ - Total area of the donut, measured in squared inches.

$A_{g}$ - Area of the greater circle, measured in square inches.

$A_{l}$ - Area of the lesser circle, measured in square inches.

By using the definition of the area of the circle, we expand the equation above:

$A = \frac{\pi}{4}\cdot D^{2}_{ext} - A_{s}$ (Eq. 1b)

If we know that $\pi = 3.14$ , $D_{ext} = 22\,in$ and $A_{s} = 78.5\,in^{2}$ , the area needed to be painted is:

$A = \frac{(3.14)\cdot (22\,in)^{2}}{4}-78.5\,in^{2}$

$A \approx 301.44\,in^{2}$

The area needed to be painted is approximately 301.44 square inches.

6 0

3 years ago

Solutions to 2-variable equations y=-2x-5

vodomira [7]

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

3 0

3 years ago

How many significant figures is in 0.040060?

nadezda [96]

Answer: Sig Figs 5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The circumference of a circle is 125.6 millimeters. What is the circle's radius?

Rina8888 [55]

Answer:

20 millimeters.

Step-by-step explanation:

To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).

After dividing the circumference by pi, you now have the diameter of the circle.

Secondly, to get the radius, divide the quotient (the diameter) by 2.

The quotient is the radius of the circle.

----------------------------------------------------------------------------------------------------------------

Now, I will repeat these steps using the circumference of 125.6 millimeters.

125.6 ÷ 3.14 = 40.

40 ÷ 2 = 20.

Therefore, 20 millimeters is the radius of this circle.

3 0

3 years ago

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 4% vinegar. The chef wants to make 320 mil

gizmo_the_mogwai [7]

Answer: vinegar: 30 mL

Italian dressing: 290 mL

Step-by-step explanation:

100% vinegar + 4% Italian dressing

He wants 320 mL of mix with 13% vinegar → 320*0.13 = 41.6 mL

So, the mixture must have 41.6 mL of vinegar and 278.4 mL of other ingredients of the Italian Dressing (-vinegar). This way:

Let's call Italian dressing x and vinegar y:

4%x + 100%y = 41.6

96%x = 278.4

0.96x = 278.4

x = 278.4/0.96

x = 290

So, 290 mL of Italian dressing.

As he wants 320 of mixture, 320 - 290 = 30 mL of vinegar.

Italian dressing: 290 mL (11.6 mL vinegar)

100% Vinegar: 30 mL

Vinegar = 30 + 11.6 = 41.6 mL

320.13% = 41.6 mL (ok)

8 0

3 years ago