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Nadusha1986 [10]
3 years ago
13

Please help me on this problem !

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

x = 5 , y = 5\sqrt{3}

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = \frac{1}{2} , cos30° = \frac{\sqrt{3} }{2} , then

sin30°= \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = \frac{adjacent}{hypotenuse} = \frac{y}{10} = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 10\sqrt{3} ( divide both sides by 2 )

y = 5\sqrt{3}

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Shandra drove 220 miles in 5 hours. if she continued at the same rate, how long would it take to travel 352 miles?
NeTakaya

Answer:

8 Hours

Step-by-step explanation:

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

\frac{220}{5}x=352

Multiply both sides by 5

220x=1760

Divide both sides by 220

x=8

Therefore it would take 8 hours.

8 0
2 years ago
What would the proportion be for #20 and #21<br><br> Thx :)
ikadub [295]
8 x 12 (15) = 120x180

71.25*3=3.75 = 3 1/4 inches
8 0
3 years ago
Find the value of x that makes m ∥ n.
arsen [322]

Answer:

x = 40

Step-by-step explanation:

In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:

3x = 120

Divide both sides by 3 to get:

x = 40

6 0
3 years ago
I really need help on this question!!!
Effectus [21]

A combination in this question, is combining 2 activities out of the 3.

The possible combinations are:

  • Parade and Roller Coaster.
  • Parade and Eat Ice Cream Cones.
  • Roller Coaster and Eat Ice Cream Cones.

If you need the opposite order:

  • Roller Coaster and Roller Coaster.
  • Roller Coaster and Eat Ice Cream Cones.
  • Eat Ice Cream Cones and Roller Coaster.

Hope This Helped! Good Luck!

6 0
3 years ago
2) Calculate the surface<br> area of the cylinder:<br> 5 cm
AVprozaik [17]

Answer:

28π cm²

Step-by-step explanation:

The surface of a cylinder is given by the formula:

  • 2πrh + 2πr²

where r is the radius of the base, and h is the height.

Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.

Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.

Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:

2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π

Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).

The surface area of the cylinder would be 28π cm².

28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.

I hope you find this helpful. :)

5 0
3 years ago
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