Answer:
45
Step-by-step explanation:
180-135=45
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Find Radius
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Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches
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Area of the Pizza
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Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)
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find area of 1 slice of pizza
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10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in²
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Find area of 3 slices of pizza
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1 slice = 25.44 in²
3 slices = 25.44 x 3
3 slices = 766.32 in²
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Answer: 766.32 in²
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Answer:
The sum of geometric series is 716144
Step-by-step explanation:
Given
First term=a_1= -11
Last term=a_8=859375
Common ration of geometric series=r= -5
And
Total terms in geometric sequence=n=8
We know that the formula for sum of geometric series is:
S_n= (a_1 (1-r^n))/(1-r)
= (-11(1-(-5)^8)/(1-(-5))
= (-11(1-5^8))/(1+5)
= (-11(1-390625))/6
=(-11(-390624)))/6
=4296864/6
=716144
So the sum of geometric series is: 716144 ..
Answer:
(2,-10)
x=2
y= -10
Step-by-step explanation:
To solve by combining the equations we first need to get everything in linear form.
For both equations we can simply just add y to both sides and then subtract the other number on the right side. Doing this gets us
-2x-6=y
-7x+4=y
We then set the two equations equal to each other and solve for y
-2x-6= -7x+4
add 7x and 6 to both sides and get
5x=10
x=2
Use this x value and plug it into any equation
let's do it on the first
-2(2)-y=6
Solve for y and get
-y=10
which means that
y= -10
Answer:
x = 48
Step-by-step explanation:
The triangle above is an isosceles triangle because it has two equal sides.
In an isosceles triangle, the two angles opposite the two equal sides are also equal to each other. This means that m<Y = m<Z.
Therefore:
2×x + 84 = 180° (sum of ∆)
2x + 84 = 180
Subtract 84 from both sides
2x = 180 - 84
2x = 96
Divide both sides by 2
2x/2 = 96/2
x = 48
