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3 years ago

Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *

Mathematics

1 answer:

inn [45]3 years ago

8 0

Answer:

75°, 105°

Step-by-step explanation:

Supplementary angles sum to 180°

Sum the parts of the ratio, 5 + 7 = 12 parts

Divide 180° by 12 to find the value of one part of the ratio.

180° ÷ 12 = 15° ← value of 1 part of the ratio, thus

5 parts = 5 × 15° = 75°

7 parts = 7 × 15° = 105°

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2 years ago

Read 2 more answers

Company earns S dollars by selling y items per week. According to the equation S(y)=−2y^2+60y+10, how many items does company ne

sp2606 [1]

Answer:

$Max = 15$

Step-by-step explanation:

Given

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Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

$s(y) = ay^2 + by + c$

And the maximum is calculated as:

$Max = \frac{-b}{2a}$ If a<0

Comparing $s(y) = ay^2 + by + c$ to $s(y) = -2y^2 + 60y + 10$

We have that:

$a = -2$ $b = 60$ $c = 10$

Substitute these values to

$Max = \frac{-b}{2a}$

$Max = \frac{-60}{2 * -2}$

$Max = \frac{-60}{-4}$

$Max = 15$

<em>The number of item that maximizes the function is when y = 15</em>

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