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Leya [2.2K]
3 years ago
6

Work out the area of the shaded region.

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer: Area of the shaded region is 6.867 square cm

Step-by-step explanation:

The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.

Area of the rectangle = 4 times 8 = 32 cm^2

Area of the semicircle = 0.5 * pi * r^2   (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2

The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)

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A cycle race began at 9:40
Ksenya-84 [330]
The entire race took Henry 1hr:36min which is 96min. He has an average speed of 30km/hr means he's been traveling 0.5km/min
30km/hr > 30km/1hr >
30km/60min = 0.5km/min
since Henry took 96min to finish the race we multiply 0.5km/min with 96
0.5km/min*96min=48km
6 0
3 years ago
Read 2 more answers
A company's stock begins the week with a price of $43.85 per share. THe price changes by +$2.70 each day for the first two days,
mixas84 [53]

Given:

Initial price of the stock=$43.85

Change for the first two days=+$2.70

Change for next two days=-$1.10

Last day=-$4.45

The objective is to find the price at the last day.

Let's take the price at final day as <em>x</em>.

\begin{gathered} x=43.85+2.70+2.70-1.10-1.10-4.45 \\ x=42.6 \end{gathered}

Hence, the price of the stock at the last day is $42.6

5 0
1 year ago
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the numbe
Shalnov [3]
10% of 40 =
10% × 40 =
.10 × 40 = 4.00

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6 0
3 years ago
F(x)= x +4<br> g(x) = 3x<br> Work out the value of gf (5).
MrMuchimi

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

3x(x+4)

Now, the terms outside the brackets need to multiplied inside the bracket:

3x^{2} +12x

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:

3*5*5+12*5

75+60

135

Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

To know more about value here

brainly.com/question/20562282

#SPJ1

8 0
1 year ago
For the following rectangular prism, find the length of the diagonal connecting A to B. Round to the nearest tenth.
meriva

Answer:

I think it is 192

Step-by-step explanation:

Volume of cube: 5 x 4 x 8 = 160

Area of diagonal: 160/2 = 80

Length of diagonal: 80 / 0.5 x 3 = 480

AB = 480 / 5 x 2 = 192

8 0
2 years ago
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