What do you guys think?

Trapez równoramienny ABCD, którego pole jest równe 72 cm2, podzielono na trójkąt AED i trapez EBCD. Odcinek AE ma długość równą

Shtirlitz [24]

Answer:

The area of triangle AED is 12 square centimeters

Step-by-step explanation:

The question in English is

The isosceles trapezoid ABCD, whose area is equal to 72 cm2, is divided into an AED triangle and a EBCD trapezoid. The AE segment is 4 cm long and the CD segment is 2 times longer. Calculate the area of the AED triangle. Save the calculations.

The picture of the question in the attached figure

step 1

Find the length side DE

we know that

The area of the trapezoid ABCD is given by the formula

$A=\frac{1}{2} (CD+AB)DE$

$A=72\ cm^2$

so

$72=\frac{1}{2} (CD+AB)DE$

we have

$AE=4\ cm\\CD=2(4)=8\ cm\\AB=2AE+CD=2(4)+8=16\ cm$

substitute

$72=\frac{1}{2} (8+16)DE$

solve for DE

$144=24DE\\DE=144/24\\DE=6\ cm$

step 2

Find the area of triangle AED

The area of triangle AED is given by the formula

$A=\frac{1}{2}(AE)(DE)$

substitute the given values

$A=\frac{1}{2}(4)(6)=12\ cm^2$

6 0

3 years ago

Nikki has an Apple iTunes gift card with a credit of $20. She spends $20 downloading music and games. Write an ADDITION equation

Amanda [17]

Answer:

Ill answer this and hope you meant subtraction if not, this is wrong.

20 - 20 = 0

Step-by-step explanation:

Well, you can't write an addition problem for subtraction which is the only thing happening in that situation, because Nikki is only losing money.

6 0

3 years ago

Read 2 more answers

Simplify 3p + 5p + p

Vesna [10]

To do this, we just have to add as if we were adding regular numbers. 3p+5p= 8p. To add the next p, we have to pretend that there is a one right in front of it. Indeed, there is a one in front of the p, but most people and most math problems don't put the one there. But anyways, 8p+1p=9p. Your answer is 9p.

5 0

3 years ago

Read 2 more answers

Zach offers dog sitting services for $5 per hour. Each client must give Zack a $20 deposit to procure his services. If Zack earn

ololo11 [35]

Answer:

6 hours.

Step-by-step explanation:

$50 - $20 = $30. $30 divided by $5 an hour = 6 hours. hope this helps

3 0

3 years ago

the height of a cone is twice its diameter. the cone has a radius of 3 units. what is the exact volume, in cubic units, of the c

barxatty [35]

Hello!

The height is twice the diameter

The diameter is twice the radius

diameter = 3 * 2 = 6

Height = 6 * 2 = 12

The height is 12

The equation for the volume of a cone is

$V = \pi r^{2} \frac{h}{3}$

V is volume
r is radius
h is height

Put in the values we know

$V = \pi 3^{2} \frac{12}{3}$

Simplify the equation

$V = \pi 9 * 4$

Multiply

$V = 36 \pi$

The answer is $36 \pi$

Hope this helps!

5 0

4 years ago