Answer:
288 cubic cm
Step-by-step explanation:
Volume of the pyramid = 1/3 * base area * height
Base area = 12 * 12
Base area - 144 sq. cm
Height = 6cm
Volume of the pyramid = 144 * 6/3
Volume of the pyramid = 144 * 2
Volume of the pyramid = 288 cubic cm
12ft x 15ft = 180ft divided $150 = 1.2(this is how much the fts cost)
16ft x 20ft = 320ft divided by 1.2 = $266.66
Answer:
x = 14.5 y = 1
Step-by-step explanation:
get the x alone by subtracting 5y from both sides
10x + 5y = 150
- 5y -5y
10x = -5y + 150
divide both sides by 10
<u>10x</u> = <u>-5y + 150</u>
10 10
x = -0.5y + 15
Now that we've solved for x, we can plug it into the original equation
10 (-0.5y + 15) + 5y = 150
now we solve for y the same way we did x
first distribute 10 into (-0.5y + 15)
-5 + 150 +5y = 150
now we get the y alone
-5 + 150 + 5y = 150
+5 -150 -150 +5
5y = 5
now divide by 5
<u>5y</u> = <u>5</u>
5 5
y = 1
now that we have both x and y, we plug y into our solution for x
x = -0.5y + 15
x = -0.5(1) + 15
x= -0.5 + 15
x = 14.5
Answer:
= 8.9 units
Step-by-step explanation:
When a chord intersects with a tangent outside a circle then we use the relationship;
X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.
Therefore;
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9