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2 years ago

Help with practice problem

Mathematics

1 answer:

fenix001 [56]2 years ago

7 0

Answer:

y = 2x - 6

Step-by-step explanation:

For parallel lines, the mx (the slope) stays the same but the y-int changes.

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The regular octagon in the ceiling of this cathedral has a radius of 10.5 feet and a perimeter of 64 feet. What is the length of

Alexeev081 [22]

The apothem of a polygon is a line made from the center to the midpoint of any side of the polygon. The radius, on the other hand, is the line from the center to any corner of the polygon. If you illustrate the problem, you can form a right triangle where the hypotenuse is the radius, and the other two legs are the apothem and half of one side of the polygon.

Perimeter of octagon = 8*length of each side = 64
length of each side = 8 ft

Therefore,
Apothem = √(10.5^2 - (8/2)^2) = 9.71 ft

5 0

2 years ago

Read 2 more answers

The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

Given

The equation of ellipsoid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation of tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ ( Given)

The equation of hyperboloid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The equation of tangent plane at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The equation of tangent plane to the hyperboloid

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The equation of tangent plane

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

3 years ago

You are running a fuel economy study. One of the cars you find is blue. It can travel 43 1/2 on 1 1/4 gallons of gasoline. Anoth

ddd [48]

Answer:

35 1/2 divided by 1 1/4 then 27 1/5 divided by 4/5

For the blue car the answer is 28.4.

For the red car the answer is 34.

5 0

2 years ago

Which statement describes the key difference between a traditional IRA and a Roth IRA?

scZoUnD [109]

"Traditional IRA contributions are made with pretax dollars, while Roth IRA contributions are made with after-tax dollars" statement describes the key difference between a traditional IRA and a Roth IRA.

<u>Option: D</u>

<u>Explanation:</u>

A traditional IRA that is an individual retirement account enables investors to channel pre-tax income into assets that can increase tax postponed. Donations to a traditional IRA might be tax deductible focusing on the earnings, tax filing record and other considerations of the taxpayers.

A Roth IRA is a tax-favored retirement savings account that enables you to tax-free withdraw your savings. These are sponsored with after-tax dollars; tax-deductible investments are not. But the cash is tax-free until one begin withdrawing funds.

6 0

2 years ago

2 times what equals 36?

Tanya [424]

18 ,2x18=36 hope i helped

3 0

2 years ago