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2 years ago

Two quantities, x and y, are directly proportional. If x is halved, what happens to y?

2 answers:

5 0

Y should also be halved.

For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.

raketka [301]2 years ago

5 0

Answer:

y is also halved

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

If x increases then y increases

If x decreases then y decreases

therefore

If x is halved then y is also halved

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Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i

Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

$\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}$

Rewriting it in terms of x° as follows,

$\sin x=\dfrac{opposite\:side}{hypotenuse\:side}$

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

$\sin x=\dfrac{FE}{FG}$

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

$\sin x=\dfrac{12}{18.6}$

To find the value of x, taking inverse sin.

$x=\arcsin \left(\dfrac{12}{18.6}\right)$

Calculating the value,

$x=40.17$

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

8 0

2 years ago

Help me with this pleaae

marissa [1.9K]

Answer:

(D) 30pi inches

Step-by-step explanation:

First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.

$volume = \pi r^2 h$

$volume = 6750 \pi~in.^3$

We set the formula equal to the volume and replace h with 30 in.

$\pi r^2 h = 6750 \pi~in.^3$

$\pi r^2 \times 30 ~in. = 6750 \pi~in.^3$

Divide both sides by 30pi in.

$r^2 = 225 ~in.^2$

Take the square root of each side.

$\sqrt{r^2} = \sqrt{225 ~in.^2}$

$r = 15~in.$

The radius of the base is 15 in.

Now we use the radius of the base and the formula of the circumference of a circle to find the answer.

$circumference = 2 \pi r$

$circumference = 2 \pi \times 15~in.$

$circumference = 30 \pi ~in.$

6 0

2 years ago

Find the gcf of 200 and 72

Aleks04 [339]

To get the Greates Common Factor (GCF) of 72 and 200 we need to factor each value first and then we choose all the copies of factors and multiply them:

72: 22233 200: 222 55GCF: 222

The Greatest Common Factor (GCF) is: 2 x 2 x 2 = 8

Answer: 8

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2 years ago

Line WX is parallel to line YZ. if m

Nikitich [7]

X = 84

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5 0

2 years ago

Find the coordinates of the vertex of the following parabola using graphing

larisa [96]

Find the coordinates of the vertex of the following parabola using graphing
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1 year ago