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Setler [38]
3 years ago
8

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h

ow you got the answer and why mine was wrong.
Use ΔDEF, shown below, to answer the question that follows:

Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = \frac{opposite}{adjacent} = \frac{EF}{DE} = \frac{x}{55} ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

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Dan mows 1/4 of his grandmother's lawn and uses 1/2 gallon of gas. What fraction of the lawn can Dan mow per gallon?
goldfiish [28.3K]

\frac{1}{2} of the grandmother's lawn Dan can mow per gallon.

Option C

<u>Solution:</u>

Given that, mowing \frac{1}{4} uses \frac{1}{2} gallon of gas.

To find: The fraction of the lawn can Dan mow per gallon

According to unitary method,

\frac{1}{2} gallon of gas is required to mow \frac{1}{4} of lawn that is \frac{1}{2}\rightarrow \frac{1}{4}

Therefore, 1 gallon of gas will be required to mow \frac{1}{2}\times2\rightarrow \frac{1}{4}\frac2

\Rightarrow1 \text{ gallon }\rightarrow \frac{1}{2} \text{ of lawn}

Therefore, one gallon will be enough to mow \frac{1}{2} of lawn.

Unitary method:

The unitary method is a technique to solve a problem by finding the value of a single unit first, and then finding the required value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.

5 0
3 years ago
A graduate student in social work survey students at 10 colleges in a mid western state to find how many are single parents the
Lady bird [3.3K]

Given:

A graduate student in social work survey students at 10 colleges in a mid western state to find how many are single parents the results are the data below.

471, 134, 316, 514, 810, 183, 419, 859, 246, 676

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Explanation:

The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode.

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Hence, mode = None

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1 year ago
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