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EastWind [94]
3 years ago
9

What is volume of the pyramid??

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
For pyramids, the volume is defined by the product of the base area and height divided by 3. Or, V = \frac{Bh}{3} Where B = area of the base and h = the height of the pyramid.

For the figure above:
B = 16 in²
h = 6 in

V =  \frac{16(6)}{3}
V = 32
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Todd has twice as many songs in his playlist as Vlad. Becca has three times as many songs in her playlist as Todd. If all three
nikitadnepr [17]

Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

3 0
3 years ago
German Flight School Eric created a rectangle patio using 1 foot square paving stones which are sold in batches by the Dozen the
Cloud [144]
They would need to buy 5 dozens because the area is 56 and 12 times 5 is 60. 
7 0
3 years ago
A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from
Oduvanchick [21]
Look at the picture.

\cos 75^\circ =\frac{x}{25} \\
25 \cos 75^\circ = x \\
25 \times 0.2588 \approx x \\
x \approx 6.47

The base of the ladder is 6.47 feet from the house.

4 0
3 years ago
A line passes through the point (-4, -8) and has a slope of 5/2 write an equation in slope intercept form for this line
Tju [1.3M]

Answer:

y = 5x/2 + 2

Step-by-step explanation:

We know the equation for slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since we have the coordinates of one point on this line and the slope, we can substitute that in and find b first:

y = mx + b

-8 = 5/2(-4) + b

-8 = -10 + b

b = 2

So we can use the slope and this y intercept we found to plug back into the equation:

y = mx + b

y = 5x/2 + 2

4 0
3 years ago
Linda contructs a triangle with one side 5 inches long and another side 7 inches long.Which is NOT a possible legth for the thir
ladessa [460]
D) 12 would NOT be a possible length for the third side because the sum of the 2 shorter legs should be greater than the longest leg.
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3 years ago
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