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3 years ago

What is the area of a parallelogram whose vertices are A(-12,2) B(6,2) C(-2,-3, D(-20,-3)

Mathematics

1 answer:

butalik [34]3 years ago

6 0

C hope this helped :-) :-) :-) :-)

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Find four consecutive multiples of 3 such that the product of the first, third, and fourth is 1080

Dovator [93]

Answer:

Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.

Step-by-step explanation:

Let's find the factors of 1,080, as follows:

1,080 Dividing by 2 (1,080/2)

540 Dividing by 2 (540/2)

270 Dividing by 2 (270/2)

135 Dividing by 3 (135/3)

45 Dividing by 3 (45/3)

15 Dividing by 3 (15/3)

5 Dividing by 5 (5/5)

In consequence, we have:

5 * 3 * 3 * 3 * 2 * 2 * 2

Let's find out what multiples of 3 there are:

5 * 3 = 15 is a multiple of 3,

And 3 * 3 * 2 * 2 * 2 is remaining.

3 * 2 = 6 is also a multiple of 3,

And 3 * 2 * 2 is remaining

3 * 2 * 2 = 12 is also a multiple of 3.

Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.

7 0

3 years ago

Add and express your answer in scientific notation (5.7 x 10^8) +(3.2 x 10^6)

kaheart [24]

5.7+3.2=8.9

10^8+10^6=10^14

(8.9+10^14)

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hope it helps

3 0

3 years ago

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

evablogger [386]

supplementary angles sum = 180
lets x = measure of angle Y

x + 3x = 180
4x = 180
x = 45

angle Y = 45
angle X = 3 x 45 = 135

answer
Angle X = 135

8 0

3 years ago

Read 2 more answers

Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

3 0

3 years ago

Which one is the greatest value fraction 2/4 1/3 4/9 or 4/7

Sergio [31]

I think the answer would be 4/7 because it is the only fraction where the numerator is more than half of the denominator

8 0

3 years ago