Answer:
-90 is the answer
Step-by-step explanation:
hope it helpss <3
Answer:
12, right?
Step-by-step explanation:
I think the declaration that three had spots may be a red herring meant to mislead you. If she has 7 after giving away 5, that would mean that in total, there are 12 cards.
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
Side 1:
A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
Side 2:
As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
Side 3:
A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
Side 4:
As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
Side 5:
A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
Side 6:
As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
Surface Area:
Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
Answer:
x+5y+5=0
Step-by-step explanation:
y=5x+6
Therefore the gradient of the line = 5
Now reciprocate the gradient and negate it
i.e -1/5
let (x,y) and (-15,2) be points on the line
y-2/x-(-15)=-⅕
5y-10=-x-15
5y-10+15+x=0
x+5y+5=0
Therefore the equation of the line =
x+5y+5=0
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
<h3>Calculating area </h3>
From the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (<em>Pythagorean theorem</em>)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: brainly.com/question/14989383
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