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slega [8]
4 years ago
7

What is the value of x?

Mathematics
1 answer:
Alex787 [66]4 years ago
5 0

Answer:

12

Step-by-step explanation:

SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

so ...

sin(45°) = (6√2)/x

Your memory of trig functions tells you sin(45°) = 1/√2, so we have ...

1/√2 = (6√2)/x

Multiplying by (√2)x gives ...

x = 6(√2)^2 = 6·2

x = 12

_____

You can simply recognize that this is an isosceles right triangle, so the hypotenuse (x) is √2 times the leg length:

x = (6√2)·√2 = 6·2 = 12

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4 years ago
If bd = 7x-10, bc = 4x-29, and cd = 5x-9, find each value
Airida [17]

Answer:

bd=88, bc=27, cd=61

Step-by-step explanation:

In this problem we have that

bd=bc+cd

we have

bd=7x-10

bc=4x-29

cd=5x-9

substitute the values and solve for x

7x-10=(4x-29)+(5x-9)

Group terms that contain the same variable in the right sides

7x-10=(4x+5x)+(-29-9)

Combine like terms in the right side

7x-10=9x-38

9x-7x=-10+38

2x=28

x=14

<u><em>Find the value of bd</em></u>

bd=7(14)-10=88

Find the value of bc

bc=4(14)-29=27

<u><em>Find the value of cd</em></u>

cd=5(14)-9=61

4 0
4 years ago
Which of the following could be the equation for a parabola that opens to the left with vertex (-17,2)?
Gemiola [76]

Answer:

C

Step-by-step explanation:

Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.

-17=-3(2-2)²-17

-17=0-17

-17=-17✓

2=3(x+17)1+2

2=0+2

2=2✓

With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.

7 0
3 years ago
An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet.What is the volume of the tank?Use 3.14 for
allochka39001 [22]

Answer:

the anser is c

Step-by-step explanation:

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6 0
3 years ago
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The sum of 5 and twice a number.
snow_lady [41]

Answer:

5+x2

Step-by-step explanation:

4 0
3 years ago
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