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3 years ago

PLEASE HELP!! I WILL MARK BRAINLIST

Mathematics

1 answer:

marishachu [46]3 years ago

6 0

Answer:

m∠5 = 44°; m∠7 = 44°

Step-by-step explanation:

Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.

Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).

So Angle 1's measure is 44 degrees.

According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°

According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.

So m∠7 = 44°

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An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S

gavmur [86]

Answer:

$8\:\mathrm{minutes}$

Step-by-step explanation:

The volume of a cylinder is given as:

$r^2\cdot\pi\cdot h$

Since the diameter is $2.2$ , the radius is $\frac{2.2}{2}=1.1$ .

Therefore, the volume of this cylinder is:

$1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}$ , using $\pi=3.14$ as requested in the problem.

Since the tank is emptied at a constant rate of $1.5\:\mathrm{ft^3\:per\:minute}$ , it will take

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8 0

3 years ago

Can someone help me with this?

Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

3 0

3 years ago

Sara would like to open a bank account. What will she need to do this? Check all that apply.

svet-max [94.6K]

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3 years ago

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Simplify the following expression as much as possible 4^10 divided by 4^10 . 7^0

nikklg [1K]

Answer:

Step-by-step explanation:

<u>Simplify</u>

4^10 divided by 4^10 . 7^0
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3 years ago

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I need to show my work, could anyone help? (need by tonight 3/10/20

marishachu [46]

Answer:

14 gallons....$42

Step-by-step explanation:

The car requires one gallon every 32 miles...

The car requires c gallons for 448 miles

c = 448 × 1 / 32

= 14 gallons..

One gallon = $3

Fourteen gallons = ??

14 × 3 / 1 = $42

3 0

3 years ago