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Lubov Fominskaja [6]
3 years ago
8

What is the ratio of x to y? 2 x ---- = -------- 3 3x+y

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0
So 2/3=x/(3x+y)
multiply both sides by 3x+y
(2(3x+y))/3=x
(6x+2y)/3=x
multiply by 3
6x+2y=3x
subtract 6x form both sdies
2y=-3x
-3x=2y
the ratio of x to y is
-3:2
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If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units
rosijanka [135]

Answer:

Volume = 12\sqrt{7} cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = \sqrt{7} units

Plug the values into the formula to find volume.

Volume = \frac{1}{3}*36*\sqrt{7}

Volume = 12*\sqrt{7}

Volume = 12\sqrt{7} cubic units

8 0
3 years ago
What is the length of a diagonal cube with a side length of 10cm?
Blizzard [7]

Answer:

Step-by-step explanation:

diagonal=\sqrt{10^2+10^2}

diagonal=\sqrt{200}

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5 0
3 years ago
What is the gradient of the graph shown ? Give your answer in its simplest form
Sedbober [7]

Answer:

-2

Step-by-step explanation:

choose any point on the graph

3 0
2 years ago
the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side
VARVARA [1.3K]

Answer:

5

Step-by-step explanation:

A 30-60-90 triangle's sides equal as follows:

Hypotanuse= x (a number)

Long side= x/2( also can be calculated as x* 1/2) * \sqrt{3}

Short side = x/2 or x * 1/2

5 0
3 years ago
The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.
Sonbull [250]

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

6 0
2 years ago
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