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Serga [27]
3 years ago
11

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

perimeter of rectangle = 2 (10+8) = 36

now t hnically joining 2 semi circled we need circumference of circle with radius = 8/4 = 2

so circum = 2 pi r = 2 pi 2 = 4 pi

now 4pi = 4 × 3.14 = 12.56

so total = 36 + 12.56 = 48.56

said to round nearest tenth so ans is 48.5

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Show that the series is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of
Murljashka [212]

Answer:

6 terms

Step-by-step explanation:

2 − 2/4 + 2/9 − 2/16 + ...

∑ (-1)ⁿ⁺¹ 2 / n²

Applying alternating series test:

lim(n→∞) 2/n² = 0

2/(n+1)² < 2/n², so the series is decreasing.

Therefore, the series converges.

2/(n+1)² < 0.05

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n+1 > 6.32

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7 0
3 years ago
At the movie theatre, child admission is $ 5.90 and adult admission is $ 9.00 . On Monday, 153 tickets were sold for a total sal
Dmitrij [34]

Answer:

1160.3


Step by step explanation:

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6 0
2 years ago
36= 4 times b raised to the second power
MariettaO [177]
B = 3

3 to the second power is 9, and 4 • 9 = 36.
4 0
2 years ago
3(6d-24)=6(12+3d)<br> i need help
Alexxandr [17]

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

3(6d−24)=6(12+3d)

Step 1: Simplify both sides of the equation.

3(6d−24)=6(12+3d)

(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)

18d+−72=72+18d

18d−72=18d+72

Step 2: Subtract 18d from both sides.

18d−72−18d=18d+72−18d

−72=72

Step 3: Add 72 to both sides.

−72+72=72+72

0=144

Answer:

There are no solutions.

5 0
2 years ago
Altogether how many legs do 30 cows have
Tresset [83]

Answer:

A cow possess 4 legs.

So, 30 of them will have 4 × 30= 120 legs

Option 3

6 0
3 years ago
Read 2 more answers
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