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Amiraneli [1.4K]
3 years ago
13

What is the volume of this right triangular pyramid?

Mathematics
1 answer:
Nady [450]3 years ago
4 0
The volume of a triangular pyramid can be found using the formula V = 1/3AH where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the
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Write a polynomial equation with roots 5 and -9i. X^3-?x^2+?X-?=0
jek_recluse [69]

Answer:

x³ - 5x² + 81x - 405 = 0

Step-by-step explanation:

Complex roots occur in conjugate pairs.

Thus given x = - 9i is a root then x = 9i is also a root

The factors are then (x - 5), (x - 9i) and (x + 9i)

The polynomial is the the product of the roots, that is

f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors

    = (x - 5)(x² - 81i²) → note i² = - 1

    = (x - 5)(x² + 81) ← distribute

    = x³ + 81x - 5x² - 405, thus

x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation

6 0
3 years ago
Each gallon of shingle stain covers 120 square feet. How many gallons should you buy to cover 658 square feet?
hjlf
You need to divide 658 by 120 because you know one gallon covers 120 square feet.
6 0
3 years ago
Please help
german

Answer:

17 units

Step-by-step explanation:

Distance between points (a,b)\,,\,(c,d) is given by \sqrt{(c-a)^2+(d-b)^2}

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take (a,b)=(-2,2)\,,\,(c,d)=(5,2)

PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7 units

It goes from Q to R(5, −5)

Take (a,b)=(5,2)\,,\,(c,d)=(5,-5)

QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7 units

It goes from R to S.

Take (a,b)=(5,-5)\,,\,(c,d)=(8,-5)

RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3 units

PQ+QR+RS=7+7+3=17 units

4 0
3 years ago
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL QUICKEST AND CORRECTLY
Anit [1.1K]

An outlier is a point that is by itself of far from the rest of the points.

A cluster is a group of points that are very close together hence the cluster name.

sorry thats all i know

4 0
3 years ago
I need the answer please!!!!!!!<br><br><br><br> Solve: -2(x+4)-1=3(x-2)+4
spin [16.1K]

Answer: x= -7/5 procedure: -2x-8-1=3x-6+4       -2x-9=3x-2   -2x-3x= -2+9    -5x= 7   answer: x= -7/5

7 0
3 years ago
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