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ki77a [65]
3 years ago
13

Find the length of the side of rhoumbus whose diagonals are of length 6cm and 8cm.​

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0

Answer:

In a rhombus, the diagonals bisect at right angles. That means half the diagonals form a right angle triangle then we can try the Pythagorean theorem. so -

one side of triangle =  6/2 =3 (half of the diagonal)

other side = 8/2 = 4

a^2 + b^2 = c2

3 ^2 + 4^2 = c^2

9+16 = c^2

c^2=25

c = \sqrt{25} = 5

the hypothenus forms one side of the rhombus and here the hypothenus is 5, so the lenght of a side is 5 !

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Which expression represents the height of the pyramid? StartFraction 3 V Over y squared EndFraction units (3 V minus y squared)
maxonik [38]

Answer:

Height = 3v/y² units

StartFraction 3 V Over y squared EndFraction units

Step-by-step explanation:

The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units

Volume of a solid right pyramid = 1/3 × area of the base × height

Volume of a solid right pyramid = v units³

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Volume of a solid right pyramid = 1/3 × area of the base × height

v = 1/3 × y² × height

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Height = 3v/y² units

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6 0
3 years ago
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Nora and Eli are making homemade spring rolls for a party. Nora can make 8 spring rolls in 10 minutes. Eli can make 10 spring ro
devlian [24]
Eli will finish first.

Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.

You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls  in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster. 

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4 0
3 years ago
(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3)<br><br> Enter the answer in science notification
Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})

The numeric part simply yields

3.8\times2.37 = 9.006

As for the powers of 10, you have to add the exponents, using the rule

a^b \times a^c = a^{b+c}

So, we have

10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}

So, the final answer is

9.006\times 10^{-9}

7 0
3 years ago
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