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1 year ago

Solve the triangle. A = 46°, a = 31, b = 27

Mathematics

1 answer:

Mrrafil [7]1 year ago

6 0

Answer:

C. B=38.8, C=95.2, c=42.9

Step-by-step explanation:

Find B by using sine rule

sin 46/31=sin B/27

sin B= 27 sin 46/31

B=sin‐¹(0.627)

B=38.8

Find C

C= 180-(A+B)

C=180-(38.8+46)

C=95.2

Using sine rule, Find c

31/sin 46=c/sin 95.2

c=31 sin 95.2/sin 46

c=42.9

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how are the steps to solving an inequality similar to those for solving an equation? how are they different

juin [17]

<h2>Similarities:</h2>

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<h2>Differences:</h2>

If you divide or multiply by a negative number, you must flip the inequality symbol. Dividing or multiplying by a negative number doesn't affect the equal sign.
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2 years ago

The ratio of the height of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm, to the nearest whole numbe

IRISSAK [1]

Answer:

The volume of the larger pyramid is equal to $7,133\ cm^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

In this problem, the ratio of the height is equal to the scale factor

$z=\frac{4}{7}$

step 2

Find the volume of the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the smaller pyramid

y----> volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{4}{7}$

$x=1,331\ cm^{3}$

substitute

$(\frac{4}{7})^{3}=\frac{1,331}{y}\\ \\(\frac{64}{343})=\frac{1,331}{y}\\ \\y=343*1,331/64\\ \\y=7,133\ cm^{3}$

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2 years ago

Your fixed expenses are $1,328.90/month and you saved 4 months' worth in an emergency fund. You place half in a 45-day CD at a 4

love history [14]

You saved 4 months
1,328.9×4
=5,315.6
half in each account
5,315.6÷2
=2,657.8
CD interest
2,657.8×0.045×(45÷365)
=14.75
Saving account
2,657.8×0.032×(45÷365)
=10.49

14.95 + 10.63 = $25.58 total interest earned

Hope it helps

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2 years ago

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Lyrx [107]

The limit can be found by simplifying the expression.
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The limit is -12.

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2 years ago

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