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almond37 [142]
4 years ago
11

1. What is the value of H? (1 point)A. 4B. 8√3C. 16D. 8√2​

Mathematics
1 answer:
user100 [1]4 years ago
6 0

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle

noting that sin45° = \frac{1}{\sqrt{2} } ← exact value

sin45° = \frac{opposite}{hypotenuse} = \frac{8}{h}

Multiply both sides by h, then

h ×\frac{1}{\sqrt{2} } = 8

Multiply both sides by \sqrt{2}

h = 8\sqrt{2} → D

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1 gallon = 4 quarts
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Experts please please PLEASE answer this question ASAP! Due today.
quester [9]

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} (h).

Here b_{1} is the lower base length and b_{2} is the upper base length while h is the height.

Step 2:

In the given problem, b_{1}=5 \mathrm{m} and b_{2}=3 \mathrm{m}. Assume the height is h m.

The trapezoid's area = 30.

30 = \frac{5+3}{2} (h), 30 = (4)(h).

h = \frac{30}{4} = 7.5.

So the height of the given trapezoid is 7.5 m.

8 0
3 years ago
What is the simplified version for these 4 ?
VladimirAG [237]
1. -3x + -6
2. -3x + 9
3. 2x - 6
4. -2x + 6

here u go
3 0
3 years ago
Can someone answer theese 3 questions.
NNADVOKAT [17]

Answer:

1.) A

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Step-by-step explanation:

7 0
2 years ago
Can someone help me with this in a scientific notation
Leviafan [203]

Answer:

3.762 x 10^-7

Step-by-step explanation:

Alright this has the same exact concept as other scientific notation problems.

First, multiply your first numbers: 4.18 x 9 = 37.62

Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)

We now have 37.62 x 10^-8

Wait! This isn't in scientific notation.

Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.

Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.

Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer

3.762 x 10^-7

6 0
3 years ago
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