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3 years ago

Solve the proportion 4/x=8/(x-3)

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

7 0

Answer:

X=-3

Step-by-step explanation:

Solve it like any other two step equation.

But first we have to have x on its own to get what the x value is

jenyasd209 [6]3 years ago

4 0

Answer:

x=-3

Step-by-step explanation:

4/x=8/(x-3)

We can solve this using cross products

4 ( x-3) = 8x

Distribute

4x -12 = 8x

Subtract 4x from each side

4x-4x-12 = 8x-12-4x

-12 =4x

Divide each side by 4

-12/4 = 4x/4

-3 =x

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Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?

expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with $\alpha$ .

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of $\alpha$ by using arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

In this case you can identify that:

$opposite=260\\adjacent=270$

Therefore, substuting values into $\alpha= arctan(\frac{opposite}{adjacent})$ , you get that the angle of depression is:

$\alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°$

4 0

3 years ago

Convert 5 killogram into grams . here are the answer choices A.5,000 B.500 C.50 D. 5,500

serious [3.7K]

The answer to this question is 5000

7 0

3 years ago

Read 2 more answers

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

3 years ago

Solve the inequalities and graph the solution 7d+8>29

vichka [17]

The answer is d>3

I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,

8 0

3 years ago

What is the perimeter of a square whose diagonal is 13.010

miskamm [114]

The perimeter would be ≈ 36.797836892947.

Rounded would be about 37, or 36.8.

Hope this helps!!!!

$P=4a$

$d\sqrt{2a}$

Solving for P:

$P=2\sqrt{2d} =2*\sqrt{2*13.01}$ ≈36.79784

Hope this helps!!

8 0

3 years ago