All categories

3 years ago

Pls answer with real answers only thank you

Mathematics

1 answer:

aev [14]3 years ago

4 0

Answer: 32.35 cm^2

Step by step:

Find the area of the rectangle first.

A= L • W
A= 11 • 4.2
A= 46.2 cm^2

Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.

Half of the diameter is 2.1 cm which is the radius.

A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2

Then you would subtract 13.85 from 46.2 to find the shaded portion.

Hope this helps :))

You might be interested in

Boyd’s dartboard is octagonal. Each side measures 9 in. He drew a copy of the board that was smaller by a scale factor 0.25.

Basile [38]

The question is about the side length of a copy of the dartboard. We know that the original dartboard has sides that measure 9 inches. We also have the scale factor 0.25. The ratio of the corresponding sides is called the scale factor. If we have the scale factor 0.25 it means that for 1 unit of the original figure there are 0.25 units of length of a copy. Therefore: x = 9 * 0.25; x = 2.25 in. Answer: The side length of the dartboard Boyd drew is 2.25 inches.

5 0

3 years ago

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

The product of two numbers is 75

Lelechka [254]

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75

8 0

3 years ago

Please help with geometry thx

anastassius [24]

Answer:

Correct answer: Fourth answer As = 73.06 m²

Step-by-step explanation:

Given:

Radius of circle R = 16 m

Angle of circular section θ = π/2

The area of a segment is obtained by subtracting from the area of the circular section the area of an right-angled right triangle.

We calculate the circular section area using the formula:

Acs = R²· θ / 2

We calculate the area of an right-angled right triangle using the formula:

Art = R² / 2

The area of a segment is:

As = Acs - Art = R²· θ / 2 - R² / 2 = R² / 2 ( θ - 1)

As = 16² / 2 · ( π/2 - 1) = 256 / 2 · ( 1.570796 - 1) = 128 · 0.570796 = 73.06 m²

As = 73.06 m²

God is with you!!!

7 0

3 years ago

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for

Simora [160]

Answer:

7x +5

Step-by-step explanation:

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.

"h hours each day in the week"

There are 7 days, so 7 × x.

"5 hours on the weekend"

So, this can be written as 7x + 5.

Hope I helped, have a nice day!

-Aadi x

4 0

3 years ago