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love history [14]
3 years ago
15

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

<em><u>Solution:</u></em>

Given that,

Volume of cubed shaped music box = 512 cubic centimeter

To find: Surface area of music box

<em><u>The volume of cube is given as:</u></em>

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

<em><u>Find surface area of cubed shaped music box</u></em>

<em><u>The surface area of cube is given as:</u></em>

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

Or

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
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