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3 years ago

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Frank’s family is going on vacation. Their trip is a total of 465.8 miles. On Monday they drive 157.4 miles, and on Tuesday they

drive 189.6 miles. If they want to reach their destination on Wednesday, how many miles will they have to drive?

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

118.8

Step-by-step explanation:

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Purchased a living room set for $3,800 at 11% add on interest for 3 years , whats the nearest tenth of a percent for the loan de

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Answer:

The loan amount after 3 years is $ 5,196.88

Step-by-step explanation:

Given as :

The principal amount for room loan = $ 3,800

The rate of interest applied = 11% compounded annually

The time period of loan = 3 years

Let The Total loan amount = $ A

Now,<u> From Compounded method :</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

or, A = $ 3,800 × $(1+\dfrac{\textrm 11}{100})^{\textrm 3}$

or, A = $ 3,800 × (1.11)³

or, A = $ 3,800 × 1.3676

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So, Amount after 3 years = A = $ 5,196.88

Hence The loan amount after 3 years is $ 5,196.88 Answer

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A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?

Trava [24]

Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.

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