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emmasim [6.3K]
2 years ago
10

The measure of an angle is 77°. What is the measure of its complementary angle?

Mathematics
1 answer:
enyata [817]2 years ago
3 0

Answer:

13º

Step-by-step explanation:

Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.

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A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per
aev [14]

Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

Crop B = 60 acres

Crop C = 40 acres

Profit, P = $26,000

Step-by-step explanation:

We plant A in X acres

B in Y acres and

C in Z acres

Therefore, X + Y + Z ≤ 100

we work A for 1·X workdays

B for 2·Y workdays and

C for 1·Z workdays

Where X + 2·Y + Z ≤ 160

$40·X for crop A

$20·Y for crop B and

$30·Z for crop C is spent whereby

$40·X + $20·Y + $30·Z ≤ $3200

The farmer makes

$100·X from crop A

$300·Y from crop B and

$200·Z from crop C

P = $100·X + $300·Y + $200·Z

Therefore, we have three equations with three unknowns solving the equations simultaneously, we have

X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

Multiplying equation (1) by 40 and subtracting from (3) we  have Z = -40

and therefore, Y = 80

If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

Comparing the profit per acre to the seed cost we have Profit for seed A = $100 while cost = $40 per acre,

If we remove seed A we have

Y + Z = 100....................................................(4)

2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

3 0
3 years ago
What is the formula for a^3-b^3??
grandymaker [24]

Answer:

\boxed{\mathrm{view \ explanation}}

Step-by-step explanation:

The difference of two cubes formula is given as:

a^3-b^3 =(a-b)(a^2 +ab+b^2)

6 0
3 years ago
Read 2 more answers
Find x if y = –2. 8 – 2xy = 24 A- 1/4 B-4 C. 8 D.-4
RoseWind [281]
Given The equation -2x(-2.8)=24, we are trying to find the value of X.

The first step is to devide both sides by 2

·-x(-2.8)=12

The next step would be to distribute.

·2.8x=12

Next we devide both Sides By 2.8 to get our final answer

·X=4.28

Although your choice answers are unclear, the answer is X=4.

-I hope this is the answer you are looking for, feel free to post your questions here on brainly in the future.




5 0
3 years ago
What is the ratio for 8 and 12
Vitek1552 [10]
It can be 8:12 or as a fraction it’s 8/12
5 0
3 years ago
Can someone help me answer these two questions please.
mr_godi [17]

Answer:

The first one is a the second one is b

Step-by-step explanation:

3 0
3 years ago
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