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2 years ago

Make a the subject of the formula: 10a + 9b = 3c

Mathematics

2 answers:

Anuta_ua [19.1K]2 years ago

7 0

Answer:

$a = \frac{3c - 9b }{10}$

Step-by-step explanation:

10a + 9b = 3c

Subtract 9b to isolate the variable a.

10a = 3c - 9b

Now we need a singular a, so divide equation by 10.

$a = \frac{3c - 9b }{10}$

So that's how you do it.

motikmotik2 years ago

7 0

Answer:

To make a subject of the formula

Step-by-step explanation:

first you subject 9b both sides which you will have

10a=3c-9b

then divide by 10 both sides

a=3c-9b/10

a=3c-9b/10 this is the answer

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Answer: Rachel spent $519

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3 years ago

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The perimeter of a triangle is 300 m . If its sides are in the ratio 3:5:7. Find the area of the triangle.

nalin [4]

Answer:

If the perimeter = 300m

let the ratio be in x 

a/q. 

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15x = 300

x = 300/15

x = 20

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60 , 100 and 140

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3 years ago

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Nataliya [291]

Formula for V of pyramid is V = 1/3 Bh
B = area of base
h = height

Q1.
8 x 6 = 48
48 = area of base
48 x 5 (height) = 240
240 x 1/3 = 80
80 cm^3

Q2.
8 x 12 would get the area of the base.

the formula says 1/3 Bh, so the base is multiplied by the height (10) and by 1/3.
So if you substitute in the values into the formula, it'll be:
V = 1/3 (12) (8) (10)

Q3.
4 x 6 = 24
base = 24 cm^2
height = 9
1/3 x 24 x 9 = 72
Volume = 72 cm^3

statement 1 is incorrect. The area of the base is actually 24 cm^2

statement 2 is correct.

statement 3 is correct. the volume of the rectangular prism (9 x 4 x 6) is 216cm^3, which is 3 times the volume of the pyramid (72 cm^3).

statement 4 is incorrect. This would require the volume of the pyramid to be 9 times of its own volume.

statement 5 is correct.

statement 6 is incorrect. The volume of the pyramid is 72, not 216.

Q4.
use the balance method to get the answer.
108 / 1/3 = 108 x 3 = 324
324 / 9 (the height) = 36
the base has an area of 36 in^2

Q5.
6 x 4 gets the area of the base
8 is the height
substitute them into the formula:
V = 1/3 (6) (4) (8)

Q6.
8 x 6 = 48
48 = area of base
9 = height
substitute them into the formula:
V = 1/3 (48) (9)
1/3 x 48 x 9 = 144
Volume of this pyramid is 144 in^3

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Answer:

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Answer:

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Step-by-step explanation:

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