Answer:
x = 135º
Step-by-step explanation:
Sum of angles in a triangle is 180
A = 180 - 66 - 69
A = 45º
--------------------
Supplementary angles total 180
x = 180 - 45
x = 135º
Answer:
3.3m/s2
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the radius of a cylinder is increased by 20% and its height is decreased by 10%.
To find : What is the percentage change in the volume?
Solution :
Let r be the radius of cylinder is increased by 20%
i.e,
The old radius is 5 and new radius is 6.
Let h be the height of cylinder is increased by 10%
i.e,
The old height is 10 and new height is 11.
The volume of old cylinder with r=5 and h=10
The volume of new cylinder with r=6 and h=11
Volume change is
Percentage change is
Therefore, The percentage change in the volume is 6.4%.
4.0
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Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
= ( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
Answer:
w=5
Step-by-step explanation:
using the distributive property to simplify the equation
-4(w)+1(-4)=-24 so
-4w-4=-24 (adding 4 to both sides)
-4w==20 (divide by -4)
w=5
