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Irina18 [472]
3 years ago
13

Ten minutes after a father left for work on the bus, he noticed that he had left his briefcase at home. His son left home, drivi

ng at 60mph, to catch the bus that was traveling at 48mph. How long did it take the son to catch the bus?
Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

12 minutes-ish

Step-by-step explanation:

 60 m/h = 1 mile per minute

<u>- 48 m/h </u>= 4/5 miles per minute

  12 m/h = 1/5 miles per minute

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28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)
antoniya [11.8K]

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

<u>Given information</u>

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

<u>Given formula</u>

Circumference = 2πr

<u>Substitute values into the formula</u>

Circumference = 2 · (3.14) · (1.25)

<u>Simplify by multiplication</u>

Circumference = (2.5) · (2.14)

Circumference = \boxed {7.85 inches}

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Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = \frac{tanA-tanB}{1+tanAtanB} and the exact values

tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

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3 years ago
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bearhunter [10]

Answer:

k(x)=5+4\sqrt{x}

Step-by-step explanation:

Write a function whose k(x) values are 5 more than four times the principal square root of x.

So,

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four times the principal square root of x =4\sqrt{x};

5 more than four times the principal square root of x =5+4\sqrt{x};

Thus,

k(x)=5+4\sqrt{x}

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3 years ago
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