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3 years ago

What is the first step to solving this equation?

Mathematics

1 answer:

Lelechka [254]3 years ago

7 0

Answer:

A. Subtract 6 to both sides.

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Given that y = 18 + 3x²<br> i) express x in terms of y

fgiga [73]

Answer:

$\sqrt{-6 + \frac{y}{3}} = x$

Step-by-step explanation:

y = 18 + 3x²

- 18 - 18

__________

$\frac{-18 + y}{3} = \frac{3x^2}{3} \\ \\ -6 + \frac{y}{3} = x^2 \\ \\ \sqrt{-6 + \frac{y}{3}} = x$

I am joyous to assist you anytime.

6 0

3 years ago

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

3 years ago

Identify if the answers are greater than, less than, or equal to the last fraction. Write > for greater than, < for less t

svet-max [94.6K]

Answer:

express the followibg as a fraction and a rational number 10 to 12

5 0

3 years ago

Read 2 more answers

PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!

Darina [25.2K]

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52, 7 times 9=63, 52+63=115. Hope this helps!

8 0

3 years ago

Figure B is a scaled copy of Figure A

Licemer1 [7]

Answer: 72 HOPE THIS HELPS!

6 0

4 years ago