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lys-0071 [83]
3 years ago
13

The age of a mother is three times the age of her son. If the difference between their

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

Mother = 30\ years

Son = 10\ years

Step-by-step explanation:

Given

M = Mother

S = Son

From the first statement:

M = 3S

From the second:

M - S = 20

Required

Find M and S

We have:

M = 3S and

M - S = 20

Substitute M = 3S in M - S = 20

3S -S =20

2S = 20

Divide both sides by 2

S = 10

Substitute S = 10 in M = 3S

M = 3 * 10

M = 3 0

Hence;

Mother = 30\ years

Son = 10\ years

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271 rounded is 300, and 425 rounded is 400, so you could estimate the sum by adding 300 and 400, which equals 700.
6 0
3 years ago
9. Find the length of x in the right triangle. Give your answer to two decimal places.
NeX [460]

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

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4 0
2 years ago
Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
Choose Yes or No to tell whether the expressions are equivalent.
netineya [11]
1. No
2. No
3. Yes
4. No, it’s actually 24j -36
8 0
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How do you find the angle measure of a right triangle using all 3 sides?
r-ruslan [8.4K]
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