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3 years ago

Someone please help !!!

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Answer: it A (-36/w^7
Explanation: I multiplied

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Which statement is true of every plane in three-dimensional space?

leonid [27]

Answer:

option A is correct.(Every plane must have three intercepts.)

Step-by-step explanation:

" Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension "

The intercept form of the equation of plane in 3-D is given by:

$\dfrac{x}{l}+\dfrac{y}{m}+\dfrac{z}{n}=1$

Where l,m,n are intercepts of x,y,z axes and a plane respectively.

Hence, we require all the three intercepts of a every plane.

Hence, option A is correct.

4 0

3 years ago

Read 2 more answers

The volume of a cubed shaped music box is 512 cubic centimeters find the surface area of the music box

AfilCa [17]

The surface area of music box is 384 square centimeter

Solution:

Given that,

Volume of cubed shaped music box = 512 cubic centimeter

To find: Surface area of music box

The volume of cube is given as:

$volume = a^3$

Where, "a" is the length of side

Therefore,

$512 = a^3$

Taking cube root on both sides,

$a = \sqrt[3]{512}$

$a = \sqrt[3]{8 \times 8 \times 8}\\\\ a = \sqrt[3]{8^3}$

$a = (8^3)^{\frac{1}{3}}$

$a = 8$

Thus length of side of cube is 8 cm

Find surface area of cubed shaped music box

The surface area of cube is given as:

$A = 6a^2$

Substitute a = 8 in above formula

$A = 6(8)^2\\\\A = 6 \times 64\\\\A = 384$

Thus surface area of music box is 384 square centimeter

8 0

4 years ago

Im Timed Help Pls I need help with math problem

Nady [450]

Answer:

35.36 i think

Step-by-step explanation:

40%x68=27.2

20%x27.2=5.44

27.2+5.44=32.64

68-32.64=35.36

$35.36

7 0

3 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Please include work

OLga [1]

Answer:

9. 6k + 5 and 2k - 1.

10. 5√2 .

Step-by-step explanation:

9. Area = 12k^2 + 4k - 5

Factoring:

12k^2 - 6k + 10k - 5

= 6k(2k - 1) + 5(2k - 1)

= (6k + 5)(2k - 1)

So the required lengths are 6k + 5 and 2k - 1.

10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2

= 10 √2 / 2

= 5√2 .

7 0

4 years ago