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Lostsunrise [7]
2 years ago
10

This shape is made using three semicircles The smaller semicircle have diameters of 10cm Calculate the shaded area Take 3.142 an

d write down all the digits given be the calculator​

Mathematics
1 answer:
AleksandrR [38]2 years ago
6 0

Answer:

The shaded area is 314.2 cm²

Step-by-step explanation:

Here we note that the shape consists of two small circles and one larger circle

The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,

Therefore,

Diameter of larger semicircle = 2 × 10 = 20 cm

Based on the diagram, the shaded area is observed to be;

Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle

Since the diameter and therefore the areas of the two small semicircles are equal, we have;

Shaded area = Area formed by the complete larger semicircle = Area of semicircle formed by larger diameter or 20 cm

∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².

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Sherry was in charge of distributing 25 food items that were donated to the local food pantry. on moday she distributed 8 items
creativ13 [48]

Answer:

Step-by-step explanation:

First you add up all the numbers - 8+7+5=20

Then you know 5 is 1/5 of 25

You know 5+5+5+5=20

ANSWER - 4/5

3 0
2 years ago
Find the nth terms of the following Ap 100, 91, 82​
Rom4ik [11]

Answer:

The nth term is 109-9n

Step-by-step explanation:

Here, we want to find the nth term of the given arithmetic sequence

Mathematically, we have the nth term as;

Tn = a + (n-1)d

where a is the first term which is 100 in this case

d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence

The value here is thus;

82-91 = 91-100 = -9

Substituting these values

Tn = 100 + (n-1)-9

Tn = 100 -9n + 9

Tn = 100 + 9 - 9n

Tn = 109-9n

6 0
3 years ago
john paid $99 for one algebra book and two geometry book. the cost of a geometry book is $3 less than a algebra book. substituti
tia_tia [17]

Answer:

A=34, G=31

Step-by-step explanation:

G=A-3

2G+A=99

plug in for g 2(A-3)+A=99

distribute 2 A-3+A=99

combine like terms 3A-3=99

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plug in a solve for g G=34-3 G=31

5 0
3 years ago
Simplify: (6)(93). Write your answer using an exponent.
strojnjashka [21]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Given triangle, ABC is congruent to triangle EDC find A
arlik [135]

Answer:

m<A = 30 degrees.

Step-by-step explanation:

m < C in triangle ABC = m < C in EDC so

x + 13 + 42 + x + 13 = 180

2x = 180 - 13 - 13 - 42

2x = 112

x = 56.

So m < C = 56+13 = 69.

m < B = m < D = 81

M < A = 180 - 69 - 81

= 180 - 150 = 30.

7 0
2 years ago
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