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polet [3.4K]
3 years ago
9

At a rate of 36 miles per hour, it takes Henry 15 minutes to drive from the library to his house. Show how to find the distance

that Henry traveled. Include units in your calculation.
Mathematics
1 answer:
EastWind [94]3 years ago
4 0
This is applying the formula
distance=rate*time

We have a slight problem, though, because we are measuring rate in miles per hour, and we are measuring time in minutes. To make this problem solvable, we need to convert to either miles per minute or convert the time to hours. I'm going to convert the 15 minutes into hours:
15min*\frac{1 hour}{60 min}=\frac{1}{4}hour

Now that all of the units match, we have:
distance=36\frac{mi}{hr}*\frac{1}{4}hr

You can finish from there I'm sure.
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lutik1710 [3]
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3 years ago
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2. find the value<br><br><br>pls no links ​
natta225 [31]

Answer:

\displaystyle V = 2144.66 \ ft^3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Sphere Formula: \displaystyle V = \frac{4}{3} \pi r^3

  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 8 ft

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Sphere Formula]:                                  \displaystyle V = \frac{4}{3} \pi (8 \ ft)^3
  2. Evaluate exponents:                                                                                         \displaystyle V = \frac{4}{3} \pi (512\ ft^3)
  3. Multiply:                                                                                                             \displaystyle V = \frac{2048}{3} \pi \ ft^3
  4. Estimate:                                                                                                           \displaystyle V = 2144.66 \ ft^3
5 0
3 years ago
Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut
Bumek [7]

The perimeter of a shape is the sum of its side lengths.

<em>Joshua miscalculated the third length of the triangle</em>

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

x^2 = 7^2 + 7^2

x^2 = 2(7^2)

Take square roots of both sides

x = \sqrt{2(7^2)

x = 7\sqrt{2

The other shape in the figure is a square.

So, the perimeter (P) is

P = 7 + x + x + x + 7 ---- i.e. the sum of the visible lengths

So, we have:

P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7

Evaluate like terms:

P = 14 + 21\sqrt2

Hence, Joshua's error is that:

<em>He miscalculated the third length of the triangle</em>

Read more about perimeters at:

brainly.com/question/6465134

4 0
2 years ago
Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST
Yuliya22 [10]
C. it's simple dude. you just plug in each matrix value into the given function and solve. the matrix in C matches the given formula.
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3 years ago
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The average age for a person getting married for the first time is 26 years (U.S. News and World Report, June 6, 1994). Assume t
leva [86]

Answer: 90% of people getting married for the first time get married before age of 31.13.

Step-by-step explanation:

Given : The average age (\mu) for a person getting married for the first time is 26 years (U.S. News and World Report, June 6, 1994).

We assume that  the ages for first marriages have a normal distribution with a standard deviation (\sigma) of 4 years.

Let x be the age before that 90% of people getting married for the first time get married.

From z-table , the value corresponds to p-value of 0.90 is 1.28155.

Formula : z=\dfrac{x-\mu}{\sigma}

1.28155=\dfrac{x-26}{4}\\\\ x-26=4\times1.28155\\\\ x-26=5.1262\\\\ x=5.1262+26=31.1262\approx31.13

Hence, 90% of people getting married for the first time get married before age of 31.13.

5 0
3 years ago
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