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strojnjashka [21]
3 years ago
8

What is the area, in square units, of trapezoid ABCD shown below?

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Given:

Trapezoid with bases 10 and 20, and height of the trapezoid is 6.

To find:

The area of the trapezoid.

Solution:

We know that the area of a trapezoid is:

A=\dfrac{1}{2}h(b_1+b_2)

Where, h is the height of the trapezoid and b_1,b_2 are bases of the trapezoid.

Putting h=6, b_1=10,b_2=20 in the above formula, we get

A=\dfrac{1}{2}(6)(10+20)

A=3(30)

A=90

The area of the trapezoid is 90 sq units. Therefore, the correct option is A.

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How much larger is 6 times 10 to the 5th power compared to 2 times 10 to the 3rd power
lora16 [44]

Answer:

Either <em><u>10 times</u></em> or <u><em>598,000.</em></u>

Step-by-step explanation:

6 x 10 ^ 5 = 600,000

2 x 10 ^ 3 = 2,000

If we are figuring out the exact number, 600,000 - 2,000.  If we are finding out how many powers larger, count.

600,000 - 2,000 = 598,000

600,000 is 10 times larger than 2,000.

See?

600,0<u>00</u>

2,000

6 0
3 years ago
Match the solid figure to the appropriate formula.
AlekseyPX

1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

4. V=\frac{1}{3} B h         -        Pyramid

5. L . A=p h         -        Prism

Solution:

1. L \cdot A=\pi r l

Lateral surface area of cone = \pi r l

where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

Volume of sphere = \frac{4}{3} \pi r^{3}

where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

Lateral surface area of prism = p h

where p is the perimeter of the base and h is the height of the prism.

4 0
3 years ago
-2 ≤2x-4 &lt;4 solve inequality
Korolek [52]

-8 < 4

hope it helps

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2 years ago
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PolarNik [594]
You have to divide $43 by 4 to get the hourly rate. After the math is done, we know that Keith earns $10.25 per hour. Now you have to mulitiply $10.25 by 11 (since you want to know how much Keith get in 11 hours) which would give you $118.25 in 11 hours. YOU'RE WELCOME :D
5 0
3 years ago
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Sara is 9 years younger than her brother, Michael. The sum of their ages is 47 years. How old is Sara and how old is her brother
kotykmax [81]

Answer:

Michael is 38 and Sara is 29

Step-by-step explanation:

Because it says the sum of their age is 47 you do 47-9=38 so that would be Michael's age and than because Sara is 9 years younger than him and then you would do 38-9=29

7 0
3 years ago
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