You would use v=lwh (volume= length x width x height)
Answer:
<u>David gets £24, Stephen gets £36, and June gets £36.</u>
Step-by-step explanation:
Firstly, add the ratio values together.
2:3:3 ⇒ 2 + 3 + 3 = 8
Next, divide £96 (your total) by 8.
£96 ÷ 8 = £12
Now, we have the number of pounds for 1 value.
Multiply 12 by each ratio value.
<u>12 × </u><u>2</u> : <u>12 × </u><u>3</u> : <u>12 × </u><u>3</u>
= 24:36:36
Therefore, David gets £24, Stephen gets £36, and June gets £36.
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Answer:
x=37°
y=6
Step-by-step explanation:
(ASSUMING BD is a perpendicular bisector of AC, otherwise answers maybe be wrong)
Consider the triangle ABC:
AB is the same length as BC (marked), meaning ABC is an isosceles triangle.
Since ABC is isosceles, ∠BAC=∠BCA=53
All angles in a triangle add up to 180:
180=∠ABC + ∠BAC + ∠BCA
180= ∠ABC + 53 +53
∠ABC = 180 - 106
∠ABC = 74
Assuming BD bisects ∠ABC perfectly, x is half of ∠ABC.
x=74/2=37
If BD bisects AC perfectly, AD=DC=y=6
The answer is 0.65
This is the same as 1.3/2 since the decimal must be moved one place to the right for both divisor and dividend.
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
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12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
