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Rudiy27
3 years ago
14

The table is an example of joint variation. What is the missing value if the length is 5 meters?

Mathematics
2 answers:
Paha777 [63]3 years ago
4 0

Answer:

7

Step-by-step explanation:

Formula of joint variation : z = kxy

To Calculate k

Width(x)= 7

Height(y) = 12

Volume(z) = 420

Substitute the values in the formula

420 = k(7)(12)

\frac{420}{7 \times 12} = k

5= k

Now , to find the missing height

Substitute width = x = 15

Height = ?

Volume = z = 525

Substitute the values in the formula :

525 = 5(15)y

\frac{525}{5 \times 15}= y

7= y

So, the  missing value is 7 .

lawyer [7]3 years ago
3 0
7 * 12 * 5 = 420
10 * 5 * 5 = 250
2 * 18 * 5 = 180
15 * 7 * 5 = 525

Answer
missing = 7

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6 0
2 years ago
6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept
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Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

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Answer:

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5(3) - 3( - 5)

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