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3 years ago

Find the area of the striped sector if ∠ A = 45° and the circle has a radius of 10 inches.

Mathematics

2 answers:

Elena-2011 [213]3 years ago

5 0

Answer: D) 25π

Step-by-step explanation:

Got this right on USA test prep

Pie3 years ago

4 0

A diagram must be provided along with the question above. Based on my research, here is what I got.

100 pi is the area of the entire circle
That makes :
∠ A = 45°/360 = 1/8
 100pi/8 = 25 pi / 2

The answer is option D)25π over 2. I hope this answer helps.

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PLEASE HELP ASAP!!!!!!! 20 POINTS

aliya0001 [1]

Recall the compound interest formula
$a = p {(1 + \frac{r}{n} )}^{nt}$
Where r = 0.04, n = 12 since compounded monthly, t = 30, and p, initial value, is 24000.

Plug them in, 79523.95 seems to be the solution.

6 0

3 years ago

Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If

gayaneshka [121]

Kenny's score on his 72nd game played is 961

Solution:

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

Kenny's scores follow a pattern

To find: Kenny's score on his 72nd game played

Let us first find the pattern followed

38, 51, 64, 77, 90

Find the difference between terms

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The formula for nth term of arithmetic sequence is given as:

$a_n = a_1 + (n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here d = 13 and $a_1 = 38$

So we get,

$a_n = 38 + (n-1) \times 13$

To find the score of 72nd game, substitute n = 72

$a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961$

Thus Kenny's score on his 72nd game played is 961

7 0

3 years ago

For a science report, Doug is measuring widths of mushrooms with a ruler that divides inches as shown. To determine each width,

Serga [27]

From the 3 options listed, both $5.25$ in and $6.5$ in could be measures found using a ruler with eighth inches marked, because those decimals can be written in terms of eighth fractions.

$5.25 $in $ \rightarrow (5 + 0.25) $in $ \rightarrow (5 + \frac{2}{8} ) $in$ \\ 
6.5 $in $ \rightarrow (6 + 0.5) $in $ \rightarrow (5 + \frac{4}{8} ) $in$$

The other option, $7.1$ in, is not a possibility because 0.1 cannot be written as a fraction of 8 that is marked on the ruler.

7 0

3 years ago

For student spent $12 on school lunch at this rate find the amount 10 students would spend on the same school lunch?

ASHA 777 [7]

12 / 4 = 3
3 * 10 = 30

6 0

3 years ago

Read 2 more answers

Paul needs 40 pounds of 48% silver alloy to finish a collection of jewelry. How many pounds each of 45% silver alloy and 60% sil

Salsk061 [2.6K]

Equation:
silver + silver = silver
0.45x + 0.60(40-x) = 0.48*40
----------------
45x + 60*40 - 60x = 48*40

--------
-15x = -12*40
x = (4/5)40
x = 32 lbs (amt of 45% slloy needed)
40-x = 8 lbs (amt of 60% alloy needed)

8 0

3 years ago