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Digiron [165]
3 years ago
9

A diagonal of a rectangle is 8cm and forms an angel measuring 30 with one side.Find the area of the rectangle.

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

16 * √3 cm² or approximately 27.71 cm²

Step-by-step explanation:

Given the 8 cm length of the diagonal and the 30° (π/6 radians) angle with one of the sides, we can calculate the width and height of the rectangle using:

8 * cos(π/6) = 8 * ((√3)/2) = 4 * √3

8 * sin(π/6) = 8 * (1/2) = 4

Multiply those two values together to get the area and you get

16 * √3 cm²

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zubka84 [21]

Answer:

1,115 mL

Step-by-step explanation:

The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!

4 0
3 years ago
Gavin bought 5 yards of fabric for his project how many inches of fabric did Gavin Buy
Aloiza [94]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ There are 180 inches in 5 yards.

1 yd = 36 in

36 x 5 = 180

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
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algol13

Answer:

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Step-by-step explanation:

7 0
3 years ago
Simplify the sum (3x^4 + 2x^2 + 1) + (5x^4 - 9x - 7)
Wittaler [7]

Answer:

8x^4 + 2x^2 - 9x - 6

Hope this helps!

7 0
3 years ago
Which of the following statements is false?
nataly862011 [7]
Alright. So We Need To Take A Look At The Answer Choices. The Sum Of Two Rational Numbers Is Always Rational. This Is True. You Cant Add Bad With Bad And Get Good. So You Will Always Get Rational Numbers, So It Is Not A. 

Lets Look At B. <span>The product of a nonzero rational number and an irrational number is always irrational. This is True. Pi Times Any Number Is Irrational. If You Have A Repeating Decimal,You Can't Change It To A Whole Number.

Lets Look At C. </span><span>The product of two rational numbers is always rational. This Is True. Any Rational Numbers Multiplied Will Always Be Rational. 3.5 * 4 = 14. this Is Still Rational, So Not C.

Lets Look At D. </span><span>The sum of two irrational numbers is always rational.This Is Not True. If You Do: Pi + Pi, This Will Not Be Rational. So, It Is D.

So, Having Looked At All The Choices, The Answer Is D.
</span>
7 0
3 years ago
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