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nordsb [41]
3 years ago
14

If ABCD is a rectangle, find the length of each diagonal. AC=3c/9 and BD=4-c

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
So we know that the diagonals of a rectangle are equal than 

3c/9 = 4 - c 

c/3 = 4-c

c = 3(4-c)

c = 12 -3c

4c = 12 

c = 12/4 

c = 3 

so in this case the length of AC = 3*3/9 = 9/9 = 1 and the length of
BD = 4 - 3 = 1 

hope this will help you 
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tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edge
xeze [42]

Answer:

The length of the edge of the cube = 4 inches

Step-by-step explanation:

* Lets describe the cube

- It has 6 faces all of them are squares

- It has 8 vertices

- It has 12 equal edges

∵ The volume of any formal solid = area of the base × height

∵ The base of the cube is a square

∴ Area base = L × L = L² ⇒ L is the length of the edge of it

∵ All edges are equal in length

∴ Its height = L

∴ The volume of the cube = L² × L = L³

* Now we have the volume and we want to find the

 length of the edges

∵ Its volume = 64 inches³

∴ 64 = L³

* Take cube root to the both sides

∴ ∛64 = ∛(L³)

∴ L = 4 inches

* The length of the edge of the cube = 4 inches

5 0
3 years ago
Jerry bought a coat on sale for 30% off. The sale price for the coat was $63, what is the regular price for the coat?
NNADVOKAT [17]

Answer:

The original regular price for the coat is $90

Step-by-step explanation:

The given information in the question are;

The percentage that was off (removed) from the sale price = 30%

The sale price at which Jerry bought the coat = $63

Whereby the regular price = P, we have;

P - 30% of P = $63

P - 0.3×P = $63

P×(1 - 0.3) = $63

0.7·P = $63

P = $63/0.7 = $90

Therefore, the regular (original) price for the coat = $90

The coat regular price at which the coat is displayed is at $90.

4 0
3 years ago
What is the expression written using each base only once?
Murrr4er [49]
1. (-4)^-6 * (-4)^7 = (-4)^(-6+7) = (-4)^1 =
  B. -4

2. (3*10^6)*(8*10^-4) = (3*8)*10^(6-4) = 24*10^2 =
  B. 2.4*10^3
5 0
4 years ago
What is a algebraic expression for five less than three times the length,L
mina [271]
The expression is 5-3L or five minus three L
3 0
4 years ago
The probability of randomly selecting a red ball from a bag that has red, white, and green balls is 0.83 Which of the following
vladimir2022 [97]

If the probability of selecting a red ball is 0.83, which is greater than 0.5, it is likely that a red ball is selected.

Answer: letter A

8 0
2 years ago
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