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Alexeev081 [22]

3 years ago

14

A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the

reduction. Write a recursive rule to find the number of members for any year.

1 answer:

Paraphin [41]3 years ago

4 0

Hello there!

So, as we see here, we can see that they start out with 20,000 members. 25% of 20,000 would be 5,000 members.

So, every year, they lose 25% which is 5,000 members of they team. But then they gain 10,000 more.

So, practically, they get 5,000 every year even though they get 25% off.

5,000 would be the answer.

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What percentage of the people liked Rocky the most ?

Ede4ka [16]

Answer:

15%

Step-by-step explanation:

The amount of people who likes Titanic is 25%, because there are 360° in a circle and 90° is used for Titanic. Hence

$\frac{90}{360} = \frac{25}{100}$

To find the percentage of people who liked Rocky the most, we subtract the rest from the total (100%)

$100 - 25 - 20 - 30 - 10 = 15$

Therefore, 15% of the people liked Rocky the most.

7 0

3 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:

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

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

$144 = 388 - 288 \cos A$

$\cos C = 0.8472$

$C = 32.1^\circ$

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Answer:

6

Step-by-step explanation:

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The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
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Can you make a triangle with angles 45 degrees, 90 degrees, and 35 degrees?

nata0808 [166]

Answer:

No

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To make a triangle the angles have to add up to 180 degrees so 90+45+35=170 degrees not 180.

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Lana71 [14]

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3 years ago

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