Consider the figure shown below. How long is DE?

Mathematics

1 answer:

Pie3 years ago

3 0

Answer:

c). $2\sqrt{2}$

Step-by-step explanation:

It's a right triangle with equal sides (DE == EF).

We know that

$4^2 = DE^2 + EF^2 = 2\cdot DE^2\\16 = 2\cdot DE^2\\8 = DE^2\\4\cdot2 = DE^2\\2\sqrt{2} = DE\textrm{; because }-2\sqrt{2} = DE\textrm{ doesn't make sense in geometry}$

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What is 11/12 minus 3/8

Mrac [35]

Answer: $\frac{13}{24}$

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= $\frac{13}{24}$

I found the denomenators by multiplying.

Hope this answer helped!

8 0

2 years ago

What is , x + 4 + 5x =34

galina1969 [7]

X+4+5x=6x+4
6x+4=34
6x=30 (minus 4 on both sides)
30÷6=5
hence: x=5

4 0

3 years ago

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X-4y=28 2x+y=2 Elimination

makvit [3.9K]

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