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3 years ago

What is the length of line segment AB?1 inchv3 inches4 inches475 inches

Mathematics

1 answer:

drek231 [11]3 years ago

5 0

Answer:

$AB=\sqrt{3}\ in$

Step-by-step explanation:

<u><em>The correct question is</em></u>

The diagonal of rectangle ABCD measures 2 inches in length.

What is the length of line segment AB?

The picture of the question in the attached figure

we know that

In the right triangle ABD

$cos(30^o)=\frac{AB}{BD}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(30^o)=\frac{AB}{2}$

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

$\frac{AB}{2}=\frac{\sqrt{3}}{2}$

$AB=\sqrt{3}\ in$

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In class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probab

Sphinxa [80]

Hi!

All of the students that are ONLY taking math is 90.

That is 90/160 kids taking only math.

90/160 simplified = 9/16

The answer is 9/16

Hope this helps! :)

5 0

4 years ago

Which equation requires the division property of equality to be solved?

Ymorist [56]

Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

$201.6=11.2f\\\\f=\frac{201.6}{11.2}=201.6\div 11.2\\\\=18$

Hence, division property used.

#B. 35.4=Z ÷ 3.1

$35.4=Z\div 3.1\\\\35.4=\frac{Z}{3.1}\\\\Z=35.4\times 3.1\\\\=109.74$

Hence, multiplication property used.

#C. t/3.2=15.1

$\frac{t}{3.2}=15.1\\\\t=15.1\times 3.2\\\\=48.32$

Hence, multiplication property used.

#D. 201.6 = 11.2+c

$201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4$

Hence, subtractionproperty used.

5 0

3 years ago

Read 2 more answers

Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of

OLEGan [10]

Answer:

Base Fee = $7

Extra charges = $7

Step-by-step explanation:

Represent the base charge with x and the additiional charges with y.

For the 5 hours job, we have:

$42 = x + 5y$

For the 3 hour job

$28 = x + 3y$

Solving for x and y;

$42 = x + 5y$

$28 = x + 3y$

Subtract the second equation from the first

$42 - 28 = x - x + 5y - 3y$

$14 = 2y$

Solve for y

$y = 14/2$

$y = 7$

Substitute 7 for y n the first equation

$42 = x + 5y$

$42 = x + 5 * 7$

$42 = x + 35$

$x = 42 - 35$

$x = 7$

4 0

3 years ago

omarion has 9/10 of the pages in a book remaining to read for school. he reads 2/3 of the remaining pages over the weekend. What

Gala2k [10]

Answer:

The fraction of the book Omarion read over the weekend=3/5

Step-by-step explanation:

Step 1

Determine the initial number of pages in a book that's remaining as follows;

Initial number of pages remaining=9/10 of the book

Step 2

Determine fraction of the book read over the weekend as follows;

fraction read over the weekend=fraction of the remaining read×initial number of remaining pages read

where;

fraction of the remaining read=2/3

initial number of remaining pages read=9/10

replacing;

fraction read over the weekend=(2/3)×(9/10)=3/5

The fraction of the book Omarion read over the weekend=3/5

3 0

3 years ago

Blake bought a coat on sale for 30% off the retail price. If he paid $130, what was the original retail price?

Y_Kistochka [10]

$169, you do 10% and times it 3 times to get 30 then add 9

6 0

3 years ago

What is the length of line segment AB?1 inchv3 inches4 inches475 inches​

What is the length of line segment AB?1 inchv3 inches4 inches475 inches