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3 years ago

Referring to the figure, find m∠1

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

∡1 = 180° - 30°

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xz_007 [3.2K]

I could be a I think

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3 years ago

Read 2 more answers

In 2015, there were approximately 33,100 firearm fatalities (homicides and suicides). Express this quantity in deaths per hou

ss7ja [257]

The data given is for the whole year of 2015, so time duration is 1 year.Convert 1 year into units of hours:
1 year = 365 days
time = 365 days * (24 hours / day) = 8760 hours

Therefore the deaths per hour is:
fatality = 33,100 / 8760 hours
fatality = 3.78 per hour

8 0

4 years ago

2^-3 x 3^-2<br> 2 to the power of negative 3 times by 3 to the power of negative 2

Ivan

<h3>The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889</h3>

<em><u>Solution:</u></em>

<em><u>Given that:</u></em>

$2^{-3} \times 3^{-2}$

We have to find the value of expression

We know that,

$a^{-n} = \frac{1}{a^n}$

Therefore,

$2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}$

We know that,

$a^2 = a \times a$

Similarly,

$2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889$

Thus value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889

5 0

3 years ago

Every positive real number has a positive and a negative square root, the ________ root is called the principal root. *

fomenos

9514 1404 393

Answer:

B) positive

Step-by-step explanation:

For even-index roots, which may be either positive or negative, the <u> </u><u><em>positive</em></u><u> </u> root is called the principal root.

5 0

3 years ago

The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the len

alexandr1967 [171]

First. we use the Pythagorean theorem:
$a {}^{2} + b {}^{2} = c {}^{2}$
Add the numbers in
${30}^{2} + {b}^{2} = {50}^{2}$
start simplifying
${b}^{2} = 1600$
$b = 40$

So, the leg has a length of 40 mm.

6 0

4 years ago