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andreyandreev [35.5K]

3 years ago

5

Five is 1/10 of what

1 answer:

Marysya12 [62]3 years ago

7 0

Five is 1/10 of what
50

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A furniture store donated a percent of every cell to charity the total sales were 7000 and 900 so the store donated $632 what pe

Pepsi [2]

9514 1404 393

Answer:

8%

Step-by-step explanation:

The fraction donated was $632/$7900.

As a percentage, that is ...

632/7900 × 100% = 0.08 × 100% = 8%

The store donated 8% of sales to charity.

8 0

2 years ago

I need help with questions #7 and #8 plz

katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

$c^2 = a^2 + b^2 - 2ab \cos C$

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

7.

We use the law of cosines to find C.

$18^2 = 12^2 + 16^2 - 2(12)(16) \cos C$

$324 = 144 + 256 - 384 \cos C$

$-384 \cos C = -76$

$\cos C = 0.2$

$C = \cos^{-1} 0.2$

$C = 78.6^\circ$

Now we use the law of sines to find angle A.

Law of Sines

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We know c and C. We can solve for a.

$\dfrac{a}{\sin A} = \dfrac{c}{\sin C}$

$\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}$

Cross multiply.

$18 \sin A = 12 \sin 78.6^\circ$

$\sin A = \dfrac{12 \sin 78.6^\circ}{18}$

$\sin A = 0.6535$

$A = \sin^{-1} 0.6535$

$A = 40.8^\circ$

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

8.

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

$a^2 = b^2 + c^2 - 2bc \cos A$

$b^2 = a^2 + c^2 - 2ac \cos B$

$c^2 = a^2 + b^2 - 2ab \cos C$

Find angle A:

$a^2 = b^2 + c^2 - 2bc \cos A$

$8^2 = 18^2 + 12^2 - 2(18)(12) \cos A$

$64 = 468 - 432 \cos A$

$\cos A = 0.9352$

$A = 20.7^\circ$

Find angle B:

$b^2 = a^2 + c^2 - 2ac \cos B$

$18^2 = 8^2 + 12^2 - 2(8)(12) \cos B$

$324 = 208 - 192 \cos A$

$\cos B = -0.6042$

$B = 127.2^\circ$

Find angle C:

$c^2 = a^2 + b^2 - 2ab \cos C$

$12^2 = 8^2 + 18^2 - 2(8)(18) \cos B$

$144 = 388 - 288 \cos A$

$\cos C = 0.8472$

$C = 32.1^\circ$

8 0

3 years ago

16. Devon answered 23 out of 25 problems on a math test correctly. What percent of the problems did Devon answer correctly?

timofeeve [1]

Answer:

92%

Step-by-step explanation:

100/25= 4

4 x 23 = 92

6 0

3 years ago

What is the area of the parallelogram below?

andreyandreev [35.5K]

Answer:

8

Step-by-step explanation:

length = 4

width= 2

4 x 2 = 8

Just count the squares like you would normally do to a rectangle and do the area like you would normally do with a rectangle

5 0

2 years ago

Lin is a camp counselor. She is making small bags of trail mix for campers to take on a hike . She has 2 pounds of raisins and i

charle [14.2K]

Answer:

16 bags

Step-by-step explanation:

To find this, we <em>divide 2 over 1/8</em>, to see how many <em>units of 1/8 fits into that of 2</em>.

$\frac{2}{\frac{1}{8} }$ can be rewritten as <em>2*8</em>. 2*8 = 16 bags.

5 0

3 years ago

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