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3 years ago

a triangle has two angles that measure 47° and 67° what is the measure of the third angle in this triangle

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

The answer to your math question is 66°.
Adding 47° and 67° is 114°.
Subtracting 114° from 180° equals 66°.

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Find the volume of the solid generated when R (shaded region) is revolved about the given line. x=6−3sec y, x=6, y= π 3, and

Dmitrij [34]

Answer:

$V=9\pi\sqrt{3}$

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

$V=\int\limits^b_a {\pi r^{2}} \, dy$

where:

$r=6-(6-3 sec(y))$

$r=3 sec(y)$

a=0

$b=\frac{\pi}{3}$

so the volume becomes:

$V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy$

This can be simplified to:

$V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy$

and the integral can be rewritten like this:

$V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy$

which is a standard integral so we solve it to:

$V=9\pi[tan y]\limits^\frac{\pi}{3}_0$

so we get:

$V=9\pi[tan \frac{\pi}{3} - tan 0]$

which yields:

$V=9\pi\sqrt{3}$ ]

6 0

3 years ago

i think of a number. if i divide the sum of 5 and the number by 3, the result is 2 less than one quarter of the number. find the

Marrrta [24]

Answer:

x = 4.75

Step-by-step explanation:

<u>(5 +X</u><u> )/3</u> = 2 - <u> X/4</u>

<h3> <u>(5 +X</u><u> )/3</u> = 8 - X </h3><h3>5+ X = 3 (8 - X) </h3><h3> 5+ X = 24 - 3X transposing terms</h3><h3>X+ 3X= 24 -5</h3><h3> 4X = 19</h3><h3> X = 19/4 </h3><h3>X = 4.75</h3>

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3 years ago

The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They

wolverine [178]

$\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}$

let the number of

adults be x

children be y

Total number of people : adults + children

x + y = 240

x = 240 - y - [1]

Total money earned from adults :

6 × x = 6x

Total money earned from children :

2 × y = 2y

Therefore, total money = money earned from each Adult and children.

6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

6 (240 - y) + 2y = 1200

1440 - 6y + 2y = 1200

-4y = 1200 - 1440

-4y = - 240

y = 60

let's plug the value of y in equation [1]

x = 240 - y

x = 240 - 60

x = 180

Hence, we get :

total adults = x = 180

total children = y = 60

Correct option is C

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \: ☠}$

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Step-by-step explanation:

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