<u>We are given:</u>
We know that the sum of all interior angles of a Pentagon is 540°
we are given 4 out of the 5 angles
<u>Solving for x:</u>
since the sum of all 5 angles is 540°:
75 + 130 + 135 + x + 90 = 540
x + 430 = 540
x = 540 - 430
x = 110°
Answer:
24 times
Step-by-step explanation:
cone is used to fill cylinder
conevolume times x=cylindervolume
so
x=cylinderv/conev
cylinderv=hpir^2
conevolume=1/3hpir^2
cylinder:
v=hpir^2
r=10
h=20
v=20*pi*10^2=2000π
cone=1/3hπr²
r=5
h=10
v=1/3(10)π5²=250π/3
volume of cylinder ÷ volume of cone
= 2000π ÷ (250π÷3)
= 6000π ÷ 250π
= 600÷25
= 24
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Answer:
y=
x-3
Step-by-step explanation:
given 6x+5y=-15
5y=-6x-15
y=
x-
y=x-3
slope=[tex]\frac{-6}{5}[tex], intercept=-3
Answer:
25
Step-by-step explanation:
We can calculate for a using sine rule.
For angle A,
A + 27° + 82° = 180 ( sum of angles in a triangle).
A + 109 = 180
A = 180 - 109 = 71°
Therefore,
A = 71°
calculating for side a
