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oee [108]
2 years ago
10

Geometry Find the length of x

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

x=4.8

Step-by-step explanation:

AE.EC=DE.EB

6×8=10×x

48=10x

x=4.8

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10. What simple interest rate is needed for $15,000 to double in 8 years? Round to the nearest tenth.​
Mrrafil [7]

Answer:

The simples interest rate needed is 12.5%

Step-by-step explanation:

Explanation is in the attachments.

Hope this helps! :)

7 0
3 years ago
Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchm
Licemer1 [7]

Answer:

6/7 > 1/2

1/3 < 1/2

Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

6/7 and 1/2

Make the denominators same

(6*2)/(7*2) and (1*7)/(2*7)

12/14 and 7/14

12/14 is greater than 7/14

12/14 > 7/14

Therefore, 6/7 > 1/2

Clarie distance = 1/3 miles

Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

2/6 and 3/6

2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

Suki rode her bike a longer distance than Clarie

7 0
3 years ago
Need help............
taurus [48]

9514 1404 393

Answer:

  Perimeter: 17 inches

  Area: 8 square inches

Step-by-step explanation:

The ratio of perimeters is the same as the similarity ratio.

  JKLM perimeter / ABCD perimeter = P/68 = 1/4

Multiplying by 68, we get ...

  P = 68/4 = 17 . . . . inches

__

The ratio of areas is the square of the similarity ratio.

  JKLM area / ABCD area = A/128 = (1/4)^2

Multiplying by 128, we get ...

  A = 128/16 = 8 . . . . square inches

__

Perimeter = 17 inches

Area = 8 square inches

8 0
3 years ago
Factor completely 4x^2 − 32
Blababa [14]

Answer: 4(x+2\sqrt{2})(x-2\sqrt{2})

Step-by-step explanation:

We can first take out the common factor of 4, as both 4x² and -32 are divisible by 4.

4(x^2-8)

From here, we can assume that x²-8 is a difference of two squares even though 8 is not a perfect square.

<em>For review, a difference of two squares </em>a^2-b^2 can be factored into (a+b)(a-b).

4(x^2-8)\\4(x+\sqrt{8})(x-\sqrt{8})\\4(x+2\sqrt{2})(x-2\sqrt{2})

4 0
1 year ago
4sin^2 + 13cos^2 = 7. Find cos <br><br> Please read the picture question carefully and help !!
Vanyuwa [196]
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!
5 0
3 years ago
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