Answer:
15 inches
Step-by-step explanation:
Volume of a squre based pyramid :
V = a²(h/3)
a = base edge ; h = height
h =1/2 a
V = 4500
4500 = a² * (1/2a) ÷ 3
4500 = a² * a/2 * 1/3
4500 = a³/2 * 1/3
4500 = a³ / 6
27000 = a³
27000 = a³
Take the cube root of both sides
(27000)⅓ = a
30 = a
Recall:
h = 1/2a
h = 1/2(30)
h = 15 inches
✩ Answer:
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✩ Step-by-step explanation:
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✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
- -3 ÷ -3 = Cancels Out
- Turns into:
✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
- -9 ÷ -3 = 3
- Turns into:
✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
- Turns into:
✺ Add 2 to both sides:
- Turns into:
✺ Add 3 and 2 to get 5:
- 3 + 2 = 5
- Turns into:
✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
- 5 ÷ 5 = Cancels Out
- Turns into:
✺ Divide 5 by 5 to get 1:
✺ So your answer is B, 
.
(Number line is below.)
30$ originally - 21$ paid = 9$ discount
> divide the discount by the original price, multiply by 100 to get the percent decrease.
100 x (9$ / 30$) = 30% discount
> So the shoes where on sale for 30% off the original price.
for the equation:
100 x (30-21)/30 = % decrease
It is an advanced science class, therefore the students will most likely have a preference in science related careers, over representing science, and under representing anything else.
(-1/4)x + 2 = 8
Multiply all terms by 4.
(-1)x + 8 = 32
Simplify.
-x + 8 = 32
Subtract 8 from both sides.
-x = 24
Multiply both sides by -1.
x = -24.
<h3>The value of x is equal to -24.</h3>
-1/4(-24) + 2 = 8
