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Travka [436]
2 years ago
7

4. What is the measure of the missing angle?

Mathematics
1 answer:
defon2 years ago
8 0

Answer:

X = 28

Step-by-step explanation:

The angle is 90 degrees in total and one portion of the angle is 62 degrees

You subtract the 62 degrees from the 90-degree angle to figure out the other unknown portion of the angle

90 - 62 = 28

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What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
2 years ago
What percent of 20 is 16?!!!<br><br>What's the answer and how do I work the problem out?!!
-Dominant- [34]

<span>16/20 is 80%.</span>

You find out by multiplying the denominator: 20 * 5 = 100

Then, you do the same to the numerator which is: 16 * 5 = x

So, x = 80%

Hope this helps! :D

7 0
3 years ago
Graph y = | x | + 5 .
vovikov84 [41]
I cannot see the images, but... 

y = | x | + 5 

consider the absolute value function. You know that for every value of x, y will be greater than or equal to 5.  this means that the y-intercept will also be the bottom of the curve. 

Plug a few values in for an idea of what the graph will look like: 
f(-1) = 6    (-1,6)
f(1) = 6     (1, 6)
f(-2) = 7    (-2, 7)
f(2) = 7     (2, 7)

The graph will have a minimum value at (0,5), where two lines will converge. The graph will look like a pointy cone with its point at (0,5), with two lines pointing outward and upward from this point. Confirm that the graph passes through the coordinates provided above! 
8 0
3 years ago
A cone is inscribed in a right square pyramid. What is the remaining volume if the
diamong [38]

Answer:

3tgfjhihvyuvyuhihhibib

4 0
3 years ago
Find the product of (x-7) squared.​
laiz [17]
The product is X^2-49.
6 0
3 years ago
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