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3 years ago

Question 22 (2 points)

Mathematics

1 answer:

luda_lava [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Momentum(p) is Mass(m) times Velocity(v) or p = mv

The results of the calculations are attached. 0.4 kg at 2 m/s has the most momentum: 0.8 kg*m/s

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A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Rectangle 5cm,20cmcircle : radius 5cm

Schach [20]

Answer:

The area of a shape is the amount of space it occupies

Step 1:

We start by calculating the area of the rectangle using:

$\begin{gathered} A_{rectangle}=l\times b \\ \end{gathered}$

By substituting the values, we will have

$\begin{gathered} A_{rectangle}=l\times b \\ A_{rectangle}=20cm\times5cm \\ A_{rectangle}=100cm^2 \\ A_1=100cm^2 \end{gathered}$

Step 2:

we calculate the area of the triangle using:

$A_{triangle}=\frac{1}{2}\times base\times height$

By substituting the values, we will have

$\begin{gathered} A_{tr\imaginaryI angle}=\frac{1}{2}\times base\times he\imaginaryI ght \\ A_{tr\mathrm{i}angle}=\frac{1}{2}\times10cm\times8cm \\ A_{tr\mathrm{i}angle}=\frac{80cm^2}{2} \\ A_{tr\mathrm{i}angle}=40cm^2 \\ A_2=40cm^2 \end{gathered}$

Step 3:

Calculate the area of the two semicircles

$A_{semicircle}=\frac{\pi r^2}{2}$

By substituting the values, we will have

$\begin{gathered} A_{sem\imaginaryI c\imaginaryI rcle}=\frac{\pi r^{2}}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=3.14\times\frac{5^2}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=39.25cm^2 \\ Area\text{ of two semicircle will be} \\ A_3=39.25cm^2\times2 \\ A_3=78.5cm^2 \end{gathered}$

Step 4:

Calculate the area of the shape

We will calculate the area of the shape by adding all the individual areas together

$A_{shape}=A_1+A_2+A_3$

By substituting the values, we will have

$\begin{gathered} A_{shape}=A_{1}+A_{2}+A_{3} \\ A_{shape}=100cm^2+40cm^2+78.5cm^2 \\ A_{shape}=218.5cm^3 \end{gathered}$

Hence,

The area of the shape will be

$\Rightarrow218.5cm^2$

4 0

1 year ago

To find the unknown measure of the fourth angle for 2 sums

Aleonysh [2.5K]

The first one is 90
The second one is 108

4 0

3 years ago

May you help me please

mash [69]

Answer:

The second graph

Step-by-step explanation:

The solution reads "x is greater than or equal to 11." The line under the > sign tells us that it's "greater than or equal to." "Greater than" tells us that the arrow will point to the right. "Or equal to" tells us that the circle over 11 will be closed. The second graph fits this criteria.

7 0

4 years ago

Highest common multiple of 8 and 14

Dovator [93]

The highest common multiple is 14 because
8x2=14
14x1=14
Thus, 14 is the highest common multiple!
Hope this Helps :)

8 0

3 years ago

What is twelve percent of fifty?

allsm [11]

Answer:

12% of 50 is the same as 50% of 12

50% of 12 is 0.5 * 12 = 6

So six is the correct answer.

5 0

3 years ago