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Wewaii [24]
3 years ago
15

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer

<h3>48°</h3>

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

<u>First </u><u>of </u><u>all,</u><u> </u><u>finding </u><u>the </u><u>value </u><u>of </u><u>x</u>

\sf{7x + 8x = 90 °}

Collect like terms

⇒\sf{15x = 90 °}

Divide both sides of the equation by 15

⇒\sf{ \frac{15x}{15}  =  \frac{90}{15} }

Calculate

⇒\sf{x = 6 °}

The value of X is 6°

<u>Now,</u><u> </u><u>substituting </u><u>/</u><u> </u><u>Replacing</u><u> </u><u>the </u><u>value </u><u>of </u><u>x</u>

⇒\sf{7x = 7 \times  6 = 42}

⇒\sf{8x = 8 \times 6 = 48}

The measure of larger angle is 48°

Hope I helped!

Best regards!!

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A sum amount to $2400 at 15% simple interest per annum after 4 years. Find the sum
Sergio039 [100]

Answer:

1500

Step-by-step explanation:

We can required to find the sum which also means the value

Future value= value × [ 1 + rate×time]

2400= value × [1 + 15/100×4]

2400= value × [1 + 0.15×4]

2400= value × [1+0.6]

2400= value × 1.6

Value= 2400/1.6

= 1500

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3 years ago
The difference of x and y is 14. The value of x is 3 more than twice the value of y. Write two equations and solve/graph to find
vazorg [7]

Answer:

b

Step-by-step explanation:

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3 years ago
Amy's grandmother gave her 3 identical chocolate chip cookies and 4 identical sugar cookies. In how many different orders can Am
Dmitrij [34]

Answer:

chocolate chip cookie first: 15 ways

chocolate chip cookie last: 15 ways

chocolate chip cookie first and last: 5 ways

Step-by-step explanation:

There is a total of 7 cookies.

Is she eats a chocolate cookie first, she will have 2 chocolate cookies and 4 sugar cookies (6 in total).

So, to find the number of different orders that Amy can eat the remaining cookies, we just need to calculate a combination of 6 choose 2 (that is, the number of ways we can put the 2 chocolate cookies among the 6 cookies) or a combination of 6 choose 4 (same thing, but for the sugar cookies):

C(6,2) = 6! / (2! * 4!) = 6 * 5 / 2 = 15 ways

Is she eats a chocolate cookie last, she will have 2 chocolate cookies and 4 sugar cookies (6 in total), so the problem is solved again with a combination of 6 choose 2:

C(6,2) = 15 ways

Is she eats a chocolate cookie first and last, she will have just 1 chocolate cookie left and 4 sugar cookies (5 in total), so the problem is solved with a combination of 5 choose 1 or a combination of 5 choose 4:

C(5,1) = 5! / (1! * 4!) = 5 ways

6 0
3 years ago
Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar th
GaryK [48]

Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

Fredrick receives as income brings him a marginal utility of

15 utils. If our goal is to maximize the combined total utility of

Victoria and Fredrick, we should

a. Redistribute income from Victoria to Frederick

b. Redistribute income from Fredrick to Victoria

c. Not engage in any redistribution because the current situation already maximizes total utility

d. None of the above

Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed.  In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

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3 years ago
Time Sensitive Question
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Answer:

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Step-by-step explanation:

5 0
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