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mars1129 [50]
3 years ago
13

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is

Mathematics
2 answers:
Yuri [45]3 years ago
4 0
Area = 0.5 ( sum of two bases ) * height


height = (14- 8)/2 = 3


Area = 0.5 x 3 x (14 + 8 ) = 33 sq units
Mice21 [21]3 years ago
3 0

Answer:

Option A is correct.      

Step-by-step explanation:

Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.

From the figure attached , we can see an isosceles trapezoid ABCD,

AB = 8cm and CD=14cm

So we have to find the value of AE which is the height of Trapezoid in order to find area.

In ΔAED

tan\angle 45 =\frac{AE}{ED}

⇒ AE=1\times 3

∴ AE = DE =3cm

\text{The area of the trapezoid=}\frac{h}{2}\times (a+b)

h=3cm, a=14cm, b=8cm

Area=\frac{3}{2}\times(14+8)=\frac{3}{2}\times 22=33 units^2

hence, \text{The area of the trapezoid is }33 units^2

Option A is correct.

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Deffense [45]

Answer:

C

Step-by-step explanation:

The rubber exercise ball is a sphere

the volume of a sphere= 4/3*pi*r3

where r = the radius of the sphere.

from the diagram, the radius = 4.5inches

Therefore, volume of the rubber ball = 4/3*pi*4.5^3 = 381.51 cubic inches

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3 years ago
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lora16 [44]

Answer:

161 cm

Step-by-step explanation:

Since 115 cm is 5 boxes, we take 115 and divide it by 5. This will get us the cm of 1 box. 115/5=23

Now we take 23 and multiply it by 7 to get the final height. 23x7=161

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3 years ago
solve systems of equation. equation number 1: 9 x squared + 4 y squared equals 144. equation 2: x squared plus y squared equals
grigory [225]
9x^{2} + 4y^{2} =144
x^{2} + y^{2}=24

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by the difference 
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so x=\sqrt{\frac{48}{5}} or x=-\sqrt{\frac{48}{5}}
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3 years ago
HELP Combining like terms solve all please :) c
In-s [12.5K]

Answer:

11. x = -16

12. k = 6

13. x = -19

14. x = -6

15. x = -20

16. Combining like terms isn't to be used on this type of problem. I'm sorry, can you guess on this one?

17. x = 19

18. n = -10

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6 0
3 years ago
Read 2 more answers
What is x? where would i find it?는 무엇이고 내가 그것을 어떻게 찾을까?​
kvv77 [185]

If you are implying that the triangles are similar, then the short and long legs are in proportion:

3\div 2 = x\div 8

Solving for x, you have

x = \dfrac{8\cdot 3}{2} = 12

5 0
3 years ago
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