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yarga [219]
3 years ago
13

A ladder is leaning against a brick wall so that the top of the ladder is even with the top of the wall. If you know that the he

ight of the wall is 20 ft and the distance from the bottom of the ladder to the bottom of the wall is 16 ft less than the length of the ladder, how long is the ladder?
The ladder is ft long.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:   the top of the ladder is at 24 feet from the ground

Step-by-step explanation:

Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:

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Mrs.Cleaver mixes 1.24 liters of red paint with 3 times of blue paint to obtain purple paint. She divides the paint equally in 5
slamgirl [31]

The amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Further explanation:

Mrs. Cleaver mixes 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint used is calculated as,

{3} \times {1.24}=3.72 \text { liters}

Therefore, the total paint mixture is the sum of blue paint and red paint.

\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is \dfrac{3}{4}.  

Now, as it is known that the fraction of blue paint to the total paint is \dfrac{3}{4} and the amount of paint in a container is 0.992 \text{ liters} then the blue paint in one container is calculated as,

\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}

Thus, the amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Learn more:  

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

4 0
3 years ago
Read 2 more answers
onathan bought a new computer for $2,016, using the electronics store's finance plan. He will pay $112 a month for 18 months. Wh
Sonbull [250]
The money he still owes=$2016-122x
8 0
3 years ago
As president of the soccer club, Joey had to order pins for the entire club. He knew there were 96 boys in the club, but did not
inn [45]

Answer:

160 pins

Step-by-step explanation:

3 0
3 years ago
A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
5 1 - 2 5 4 7= please help asap
Yuki888 [10]

Answer:

-2496

Step-by-step explanation:

6 0
3 years ago
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