All categories

3 years ago

10/15 and 14/21 are equivalent fractions. true or false?

Mathematics

1 answer:

bagirrra123 [75]3 years ago

3 0

I<span>10/15 and 14/21 are equivalent fractions because 10 x 21 = 15 x 14,
210 = 210.
TRUE.</span>

You might be interested in

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

3 years ago

Read 2 more answers

Are two products the same when you multiply them horizontally?

Scorpion4ik [409]

Answer:

Are the two products the same when you multiply them with the table method? Yes, the two products are the same when you multiply them with the table method.

7 0

3 years ago

Find the product. (x-3)^2

r-ruslan [8.4K]

Greetings and Happy Holidays!

Find the Product:
$(x-3)^2$

Expand:
$=(x-3)(x-3)$

Use FOIL or other techniques to solve binomial multiplication:
$=x(x-3)-3(x-3)$

$=x^2-3x-3(x-3)$

$=x^2-3x-3x+9$

Combine like terms:
$=x^2-6x+9$

The Answer Is:
$\boxed{=x^2-6x+9}$

I hope this helped!
-Benjamin

3 0

3 years ago

some friends went to the local movie theater and bought four buckets of large popcorn and six boxes of candy. the total for the

grigory [225]