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Rus_ich [418]
3 years ago
12

What is the radius of a sphere with a volume of 623.3cm? Round to the nearest tenth ?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
7 0

Answer:

5.3

Step-by-step explanation:

r = (3V/4pi)^1/3

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x
kherson [118]

Answer:  The correct line is

\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.

Step-by-step explanation:  We are given the following two sets of quadratic expressions in various forms:

\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),

and

x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.

So,

\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.

Thus, Line 1 contains three equivalent expressions.

Now,

\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),

and

x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.

So,

\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0
3 years ago
I need this fast yal. i am willing to give brainly
andreyandreev [35.5K]

Answer:

The answer is

y = 6x + 43

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = 6x + 1

Comparing with the general equation above

Slope = 6

Since the lines are parallel their slope are also the same

Slope of parallel line = 6

The equation of the line using point (-7,1) and slope 6 is

We have the final answer as

y = 6x + 43

Step-by-step explanation:

srry if this is wring, its what i got also pls give brainliest, im trying to get to vituoso :3

7 0
3 years ago
Name all segments parallel to XT
butalik [34]

name two segments parallel to VU.

ST,ZY,WX

NAME TWO SEGMENTS SKEW TO SW VU,ZY,UT,XY

NAME TWO SEGMENTS SKEW TO XY SW,VZ,VS,ST,VU

8 0
3 years ago
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The ratio of the measure of three angles of a triangle is 2:3:10. Find the measure of the largest angle.
faltersainse [42]

Answer:

The measure of the largest angle:

120°

Step-by-step explanation:

The sum of the internal angles of a triangle = 180°:

2 + 3 + 10 = 15

then:

180/15 = 12

then, the measure of the largest angle:

10 * 12 = 120°

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3 years ago
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Special wallpaper that costs $2 per square foot. How much will the wallpaper cost in total?
Llana [10]

well i need to know how much you are buying to know the total price XD

3 0
3 years ago
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