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3 years ago

Monique is going to draw a net of a triangular pyramid. How many triangles should there be in her drawing?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

alex41 [277]

Answer: $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

Step-by-step explanation:

Given two upward facing parabolas with equations

$y=6x^2 & y=x^2+2$

The two intersect at

$6x^2=x^2+2$

$5x^2=2$

$x^2$ = $\frac{2}{5}$

x= $\pm \sqrt{\frac{2}{5}}$

area enclosed by them is given by

A= $\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx$

A= $\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx$

A= $4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]$

A= $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

7 0

3 years ago

Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y

omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

$-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14$

This can be represented in matrix form as

AX=B Or

$\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]$

So solution set

X would be $A^{-1} B$

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

-1 0 -1

-2 -1 -3

0 1 2

So inverse of A is

1 2 0

0 1 -1

1 3 -2

Solution set would be

x=12

y=-3

z=-5

8 0

3 years ago

Kelly needs $125 to buy a dress for the dance. Her dad gave her five dollars for doing your chores and received $15 an hour to t

Debora [2.8K]

8 hours. 125 - 5 = 120. 120 / 15 = 8. Kelly will need to tutor for 8 hours minimum to buy the dress.

7 0

3 years ago

Monique is going to draw a net of a triangular pyramid. How many triangles should there be in her​ drawing?

Monique is going to draw a net of a triangular pyramid. How many triangles should there be in her drawing?