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Juliette [100K]
3 years ago
12

Find the volume of a pyramid with a square base, where the perimeter of the base is

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

90.3125 cm³

Step-by-step explanation:

Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.

17/4=4.25 cm

We know the height of pyramid is 15 cm

The formula for the volume of a square pyramid is

V=a²(h/3)

V=a2(h/3)=4.252·15/3=90.3125 cm³

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3 years ago
Find the number of roots for each equation.<br> 5. 5x4 + 12x3 – x2 + 3x + 5 = 0
pav-90 [236]

Answer:

The number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

Step-by-step explanation:

Here, the given function polynomial is :

P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).

Now here, the degree if the polynomial is 4 (highest power of variable x).

So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.

Hence,  the number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

7 0
3 years ago
What is the area of a sector with a central angle of 131 degrees and a radius of 7.2 ft?
svetoff [14.1K]

Answer:

162.78

Step-by-step explanation:

Use your π =3.14

3.14 times 7.2 times 7.2

5 0
3 years ago
the the circle shape part of the necklace above has a diameter of 5 mm the circumfrence of the circle-shaped part of each of the
tankabanditka [31]
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8 0
3 years ago
Read 2 more answers
Solve the following equation for W: 5(w-2)+10=3(2w-9)+5​
storchak [24]

Answer:

w=22

Step-by-step explanation:

5(w-2)+10=3(2w-9)+5

1) Use the Distributive Property for 5(w-2) and 3(2w-9):

5w-10+10=6w-27+5

2) Combine alike terms:

5w=6w-22

3) Add a 22 to both sides:

22+5w=6w

4)Subtract 5w from both sides:

w=22

5 0
3 years ago
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