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3 years ago

How many bases are there in the triangular pyramid shown below?

Mathematics

2 answers:

sukhopar [10]3 years ago

5 0

Answer:

Step-by-step explanation:

muminat3 years ago

5 0

Answer:

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

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What is 70×100000? will give 30 points.

inn [45]

7000000 I’m sure of it

5 0

3 years ago

Calculus 2 Master needed, show steps with partial fraction decomposition <img src="https://tex.z-dn.net/?f=%5Cint%283x%5E2-26x%2

Vladimir79 [104]

Answer:

-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C

Step-by-step explanation:

The fraction will be split into a sum of two other fractions.

The first fraction will have a denominator of x − 5. The numerator will the a polynomial of one less order, in this case, a constant A.

The second fraction will have a denominator of x² + 4. The numerator will be Bx + C.

$\frac{3x^{2}-26x+26}{(x-5)(x^{2}+4)}=\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}$

Combine the two fractions back into one using the common denominator.

$\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}=\frac{A(x^{2}+4)+(Bx+C)(x-5)}{(x-5)(x^{2}+4)}$

This numerator will equal the original numerator.

$A(x^{2}+4)+(Bx+C)(x-5)=3x^{2}-26x+26\\Ax^{2}+4A+Bx^{2}-5Bx+Cx-5C=3x^{2}-26x+26\\(A+B)x^{2}+(C-5B)x+(4A-5C)=3x^{2}-26x+26$

Match the coefficients.

$A+B=3\\C-5B=-26\\4A-5C=26$

Solve the system of equations.

$A=-1\\B=4\\C=-6$

So we can rewrite the integral as:

$\int {(\frac{-1}{x-5}+\frac{4x-6}{x^{2}+4}) } \, dx$

Solving:

$\int {\frac{-1}{x-5}\, dx + \int {\frac{4x}{x^{2}+4}} \, dx - \int {\frac{6}{x^{2}+4} } \, dx$

$-\int {\frac{1}{x-5}\, dx + 2\int {\frac{2x}{x^{2}+4}} \, dx - 6\int {\frac{1}{x^{2}+4} } \, dx$

$-ln|x-5| + 2ln(x^{2}+4) - 6(\frac{1}{2} tan^{-1}(\frac{x}{2} )) + C$

$-ln|x-5| + 2ln(x^{2}+4) - 3 tan^{-1}(\frac{x}{2} ) + C$

5 0

3 years ago

Which is the correct calculation for the volume of the prism? A prism has a length of 6 units, height of 7 units, and width of 4

EastWind [94]

Answer: $V=168\ units^3$

Step-by-step explanation:

Given

Length of Prism $l=6\ units$

Height of prism $h=7\ units$

width of prism $b=4\ units$

Now Volume of a prism is given by

$V=l\times b \times h$

$V=6\times 4\times 7$

$V=168\ units^3$

6 0

3 years ago

Paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticke

Scorpion4ik [409]

Answer:

Cost of tickets: $7. Equation: 40 = 4x + 12.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A circle with radius 5 has a sector with a central angle of 9/10 pi

Solnce55 [7]

Answer:

35.33

Step-by-step explanation:

The circle with radius 5 has a sector with a central angle of 9/10 pi.

The area of a sector is given as:

$A_s = \frac{\alpha }{2\pi} * \pi r^2$

where α = central angle of the sector in radians

r = radius of the circle

The area of the sector is therefore:

$A_s = \frac{\frac{9 \pi}{10} }{2 \pi} * (3.14 * 5^2)\\ \\A_s = \frac{9}{20} * 78.5\\\\A_s = 35.33$

The area of the sector is 35.33.

5 0

4 years ago

Read 2 more answers