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3 years ago

Please help solve!!!!!!!!!!

Mathematics

1 answer:

Deffense [45]3 years ago

6 0

Answer:

Height = 17.31821 feet

Step-by-step explanation:

Explanation

From graph

Given angle θ = 6.5° and a = 152 feet

we need to find the height (h)

By using the tangent rule

$tan \alpha = \frac{opposite side}{adjacent side}$

$tan 6.5 = \frac{b}{152}$

Cross multiplication , we get

b = 152 × tan 6.5°

b = 152 × 0.113935

b = 17.31821 feet

Height = 17.31821 feet

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Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off

Mazyrski [523]

First we will find the interest on:

P = $235 principal

t = 2 years

r = 0.1415 annual rate

A = future value

I = A - P the interest

A = P(1 + r)^t

A = 235(1 + 0.1415)^2

A = $306.21

I = A - P

I = $306.21 - $235

I = $71.21

the interest was $71.21.

Next lets find the lifetime cost value:

Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)

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3 years ago

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riadik2000 [5.3K]

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3 years ago

Triangle ABC has vertices of A(-6,7) B(4,-1), and C(-2,-9). Find the length of the median from angle B in triangle ABC.

AfilCa [17]

The length of the median from angle B is 8.

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3 years ago

The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri

emmainna [20.7K]

Answer:

a. i. x + y = 180 (1) and x - 4y = 5 (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180 (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5 (2)

x - 4y = 5 (2)

So, our system of equations are

x + y = 180 (1) and x - 4y = 5 (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180 (1) and x - 4y = 5 (2)

Subtracting (2) from (1), we have

x + y = 180 (1)

x - 4y = 5 (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

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3 years ago

Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What

vivado [14]

Answer:

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4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6

Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:

4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.

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3 years ago