2 years ago

What is the value of x7.5 units15 units21 units30 units

Mathematics

1 answer:

dmitriy555 [2]2 years ago

3 0

Answer:

been awhile since iv solved one of these lol. I believe the answer is 15.

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How to figure out answer ?

spin [16.1K]

$\sin 45=\dfrac{y}{11\sqrt6}\\
\dfrac{\sqrt2}{2}=\dfrac{y}{11\sqrt6}\\
2y=11\sqrt{12}\\
y=\dfrac{11\sqrt{12}}{2}\\\\
\tan 60=\dfrac{x}{y}\\
\tan 60=\dfrac{x}{\dfrac{11\sqrt{12}}{2}}\\
\sqrt3=\dfrac{2x}{11\sqrt{12}}\\
2x=11\sqrt{36}\\
2x=66\\
x=33 \Rightarrow D
$

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2 years ago

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mixer [17]

Since DC = 12, then EF also = 12.

Both AD and BC are indicated to be the same .

So AE = (24 - 12) / 2 = 12/2 = 6

Now you have a right triangle with height DE = 8 and base AE = 6

Using the Pythagorean Theorem we can now find AD:

AD = √(8^2 + 6^2)

AD = √(64 + 36)

AD =√100

AD = 10

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2 years ago

If you want to place 9 3/4 inch towel bar in the center of a door that is 27 1/2 wide, how much space will be on each side of th

marysya [2.9K]

The answer is $11 \frac{5}{6}$ inches

Step 1. Subtract length of the door from the width of the door:
$27 \frac{1}{2} - 9 \frac{3}{4} = \frac{55}{2} - \frac{39}{4} =\frac{110}{4} - \frac{39}{4}= \frac{71}{4}$

Step 2. You want the same space to be on each side of the bar. So, divide the difference from step 1 by 2:
$\frac{71}{4} : 2 = \frac{71}{4} : \frac{2}{1} =\frac{71}{4} * \frac{1}{2}= \frac{71}{6} = \frac{66+5}{6}= \frac{66}{6}+ \frac{5}{6}=11 \frac{5}{6}$

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2 years ago

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2 years ago

What is the value of x7.5 units15 units21 units30 units​

What is the value of x7.5 units15 units21 units30 units