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3 years ago

If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth

Mathematics

1 answer:

xeze [42]3 years ago

7 0

Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

The base distance, b = 4 ft

We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

$H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft$

P = 19.6 ft

So, the height is 19.6 ft.

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Last year there were 260 students in a soccer program. This year, that number increased by 140%. How many more students joined t

Alekssandra [29.7K]

Answer: 104 more students

Step-by-step explanation:

First, convert 140% to a decimal, 1.4. Next, multiply 1.4 by the students from last year, 260, to get 364. Finally, subtract 260 from 364 to get the final answer of 104.

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3 years ago

The table shows Sofia’s payment schedule for the first year of a 3-year loan of $17,250 at an interest rate of 3%.

Katena32 [7]

Using a calculator, the equation of linear regression, which is the line of best-fit for the data, is given by:

y = -465.46x + 17,267.56.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are in the format (Month, Principal Balance), hence the points we have to insert in the calculator are given as follows:

(1, 16,791.47), (2, 16,331.80), to (12, 11,671.40).

Inserting these points into the calculator, the equation of linear regression, which is the line of best-fit for the data, is given by:

y = -465.46x + 17,267.56.

More can be learned about a line of best-fit at brainly.com/question/22992800

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8 0

2 years ago

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a

galina1969 [7]

Answer:

$3.5725 * 10^5$

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

$x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4$

$x * 8 = 5 * 16 * 3.5725 * 10^4$

Divide both sides by 8

$\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}$

$x = \frac{5 * 16 * 3.5725 * 10^4}{8}$

$x = 5 * 2 * 3.5725 * 10^4$

$x = 10 * 3.5725 * 10^4$

$x = 3.5725 * 10^5$

Hence, the number of grains of sand in 5 gallon is $3.5725 * 10^5$

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3 years ago

A hotel has 18 floors. The hotel owner believes the number 13 is unlucky. The first 12 floors are numbered from 1 to 12. Floor 1

FromTheMoon [43]

When the hotel manager rides down 2 floors from 19 floor, it means he stops at floor 17, the floor he rides down as negative integer = -2
then he rides down 3 floors and it means he stops at floor 14, so the number of floors he rides down from there = -3
then he rides to the first floor as there is no number 13 floor it means he rides down 12 floor = -12
the <span>addition expression using negative integers to show the number of total floors the hotel manager rode down the elevator = -2 + (-3) + (-12) = -17</span>

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3 years ago

All of the letters in the word “P-R-O-B-A-B-I-L-I-T-Y” are in a bag.

yulyashka [42]

Answer:

5/11 with y

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers