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Naily [24]
3 years ago
7

If minor arc AC = 96°, what is the measure of ∠ABC?

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:D) 84

Step-by-step explanation:

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A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs
tatyana61 [14]

Answer:

The system  that represent the scenario is

x+y\leq500

215x+615y\leq 187,500

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

x+y\leq500 ------> inequality A

215x+615y\leq 187,500 -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

8 0
3 years ago
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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

#SPJ9

5 0
2 years ago
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