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xenn [34]
2 years ago
10

In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for th

e length of side DE
Mathematics
1 answer:
igomit [66]2 years ago
4 0

The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

Learn more on similar shapes here: brainly.com/question/14285697

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What is 2/3 + 3/4 I don’t understand it at all
victus00 [196]

Answer:

6/12 or half

Step-by-step explanation:

this would be the answer because the lowest common denominator of 4 and 3 is 12 so you'd multiply them you'd get 12 then multiply 2 and 3 and get six therfore the answer is 6/12 or 1/2

6 0
3 years ago
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At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers to science teachers in si
scoundrel [369]

Answer:

It is A: 11 to 1 :)

It's true!

(edited my answer btw, you have to simply also welp)

7 0
3 years ago
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Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?
artcher [175]

Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form.

78x = 42

Divide each side by .78.

78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

4 0
2 years ago
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The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as
bija089 [108]

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

8 0
3 years ago
The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. if the court's perimeter is 240 f
KATRIN_1 [288]

Length (L): 2w + 6

width (w): w

Perimeter (P) = 2L + 2w

               240 = 2(2w + 6) + 2(w)

               240 = 4w + 12 + 2w

               240 = 6w + 12

               228 = 6w

                 38 = w

Length (L): 2w + 6   = 2(38) + 6   = 76 + 6   = 82

Answer: width = 38 ft, length = 82 ft

8 0
3 years ago
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