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lakkis [162]
3 years ago
6

URGENT HELP NEEDED

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0
<span>"ratio of princesses to celebrities is 3:1"

The are 3 more times princesses as celebrities.

</span>"<span>The ratio of superheros to princesses is 5:4"

For each 4 princesses, there are 5 superheroes.

For 1 celebrity, there are 3 pincesses.

For 4 celebrities, there are 12 princesses.
For 12 princesses, there are 15 superheroes.

The ratio of celebrities to princesses to superheroes is
4:12:15 or 4x:12x:15x

Add them: 4x + 12x + 15x = 31x

31x = 93

x = 93/31 = 3

Celebrities: 4x = 4(3) = 12
Princesses: 12x = 12(3) = 36
Superheroes: 15x = 15(3) = 45

</span>
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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.

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Can someone help me with this please?
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