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3 years ago

Evaluate /2x-4/ for x = 5 and x = -4

Mathematics

1 answer:

loris [4]3 years ago

7 0

-44. I just mult. 5 and -4 becaue3 it says x = 5 and x = -4

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The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

garik1379 [7]

Answer:

$area = \frac{8}{3}pie ft^2$

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = $\frac{60}{360}*pie*4^2$

$area = \frac{1}{6}*pie*16$

$area = \frac{1*16}{6}*pie$

$area = \frac{16}{6}*pie$

$area = \frac{8}{3}pie ft^2$

Area of the sector = 8/3π ft²

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3 years ago

Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

$Volume = 72.66in^3$

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

$x = 6.99in$ --- approximated

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3 years ago

Patrick has 2 fewer ten dollar bills than brennna patrick has $64 how much money does brenna have

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Answer:

$84

Step-by-step explanation:

Since Patrick has 2 ten dollar bills less than Brenna, then he has $20 less then Brenna. If Patrick $64, then Brenna has $84, because you would add 20 to 64. Which equals 84.

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