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3 years ago

6

Three-eighths of the sum of sixteen times a number and twenty-four. How do you set this up?

1 answer:

patriot [66]3 years ago

7 0

If you break it up:

Three-eighths = 3/8

Sixteen times a number, we'll call the unknown number X, so 16X.

Twenty Four = 24

The sum of 16X and 24 = 16X + 24

We want 3/8 of that sum so we put the sum in parenthesis and we get:

Y = 3/8(16X + 24) where Y is the answer youd get if you knew what X was.

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What is the explicit formula for this geometric sequence?

victus00 [196]

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The explicit formula for this geometric sequence is 27.3(n-1)

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3 years ago

Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

8 0

3 years ago

Find missing side<br> help quick pls

Zigmanuir [339]

Answer:

7m

Step-by-step explanation:

18/6 = 3

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21/3 = 7

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3 years ago

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2 years ago

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