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andrew-mc [135]
3 years ago
8

the measure of two complimentary angles is in the ratio 1:9. what are the degree measures of the two angles

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
x+9x=90\\
10x=90\\
x=9\\
9x=9\cdot9=81

9 and 81.
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What is the surface area of a sphere with a radius of 11 units
Otrada [13]

Answer: A≈1519.76³ Units

Step-by-step explanation:

A=4πr²

r = 11

11²=121

121 * 3.14 = 379.94

379.94(4) = 1519.76

A≈1519.76³ Units OR

A=4πr2=4·π·112≈1520.53084

4 0
3 years ago
An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common fact
SCORPION-xisa [38]

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y  = 2 * x³ * y,

18xy = 2 * 3 * 3 * x * y,

− 10x²y = 2 * - 5 * x² * y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 * - 5 * 3 * 3 * y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

2y\left(x^3+9x-5x^2-45\right) - Factor out " (x^3+9x-5x^2-45\right)) " by grouping,

\left(x^3-5x^2\right)+\left(9x-45\right) - Factor 9 from 9x - 45 and x² from x³ - 5x²,

9\left(x-5\right)+x^2\left(x-5\right) - Factor out common term x - 5,

\left(x-5\right)\left(x^2+9\right) - And our solution is thus 2y( x - 5 )( x² + 9 )

3 0
3 years ago
The lenght of a rectangle is 27 cm and its width is 15 cm. *
valentina_108 [34]

Answer:

Ok

Step-by-step explanation:

So should I find area or perimeter?

5 0
2 years ago
Read 2 more answers
Guys please give me the answer for this q it's so hard
rusak2 [61]

Answer:

9/20

Step-by-step explanation:

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1/3 * 3/5 * 9/4=

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3 0
3 years ago
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Find the value of x if AB || CD
lions [1.4K]

x = (180 - 55) + (180 - 25) = 280°



Answer: x = 280°

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