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3 years ago

The height of a square pyramid-shaped gift box is one half the length of

Mathematics

1 answer:

Schach [20]3 years ago

5 0

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

Take the cube root of both sides

(27000)⅓ = a

30 = a

Recall:

h = 1/2a

h = 1/2(30)

h = 15 inches

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Rectangle WXYZ was dilated using the rule D, z 12/5

murzikaleks [220]

Answer: C, 12 units on edge

Step-by-step explanation:

7 0

3 years ago

Find the value of the expression 0.5^10/0.5^7

SIZIF [17.4K]

Answer:

The solution is:

$\frac{0.5^{10}}{0.5^7}=0.125$

Step-by-step explanation:

Given the expression

$0.5^{10}\div 0.5^7$

Solving

$\frac{0.5^{10}}{0.5^7}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$\frac{0.5^{10}}{0.5^7}=0.5^{10-7}$

$\mathrm{Subtract\:the\:numbers:}\:10-7=3$

$=0.5^3$

$=0.125$ ∵ $0.5^3=0.125$

Therefore, the solution is:

$\frac{0.5^{10}}{0.5^7}=0.125$

7 0

3 years ago

Joe has 2/10 of a dollar. Ashley has 20/100 of a dollar. Billy has 3/100 of a dollar. Together, what fraction of a dollar do the

Vinvika [58]

Answer:

they have 43/100 or 43% out of 100

Step-by-step explanation:

Because joe has 2/10| 2/10=20% or 2

Joe=20

Ashley also has the same thing as joe so 20.

Ashley=20

Billy has 3/100 that = 3 so what's 20+20+3=43 and there's your answer.

Have a great day:)

6 0

2 years ago

Which expressions are equivalent to ? Check all that apply.

GrogVix [38]

Answer:

6.2+8.7+8.9x

Step-by-step explanation:

For expressions to be equivalent, they must simplify to the same lowest form. 8.9x+6.2+8.7 simplifies to 8.9x +14.9.

Each of the expressions below must simplify to 8.9x + 14.9 to be equivalent.

9x+6+9 = 9x + 15 NO

3.9+6.2+8.7x = 8.7x + 10.1 NO

3.7+8.9+6.2 = 18.8 NO

6.2+8.7+8.9 = 23.8 NO

6.2+8.7+8.9x = 8.9x + 14.9 YES

3.9+6.2x+8.7 = 6.2x + 12.6 NO

3.9x+8.7+6.2 = 3.9x + 14.9 NO

8 0

3 years ago

Read 2 more answers

Find the value of r so the line that passes through each pair of points has the given slope.

padilas [110]

Answer:

Step-by-step explanation:

( 3 - r ) / ( 1 + 5) = 7/6

$\frac{3-r}{1+5}$ = $\frac{7}{6}$ ⇒ 3 - r = 7 ⇒ r = <em>- 4</em>

7 0

2 years ago