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viva [34]
3 years ago
5

If π is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 9 cm? 27 c

m 28 cm 30 cm 36 cm
Mathematics
2 answers:
a_sh-v [17]3 years ago
4 0
The estimate would be about 28 cm
Alexxx [7]3 years ago
3 0
Circumference of circle= 2*pi*r

You need to figure out the radius from the diameter. The radius is half of the diameter. Therefore, the radius in this problem is 4.5.

Since you are rounding pi to a whole number, 3.14 would be converted to 3. 

This is now the equation: 2*3*4.5

27 cm
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Subtract.<br> (2x^2+4x−8)−(4x^2−x+1)
stiks02 [169]
2x + 6 = 4x - 2
Simplifying
2x + 6 = 4x + -2

Reorder the terms:
6 + 2x = 4x + -2

Reorder the terms:
6 + 2x = -2 + 4x

Solving
6 + 2x = -2 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
6 + 2x + -4x = -2 + 4x + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2x = -2 + 0
6 + -2x = -2

Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6

Combine like terms: -2 + -6 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4
https://www.wyzant.com/resources/lessons/math/algebra/calculators/equation?equation=2x+%2B+6+%3D+4x+-+2

4 0
3 years ago
Read 2 more answers
Which is equivalent to 5 Square root of 1215^x
tia_tia [17]

Answer:

(3\sqrt[5]{5} )^{x}

Step-by-step explanation:

Given that

\sqrt[5]{1215^{x} }

=> 1215^{\frac{x}{5} } Using radical rule

=> (3*3*3*3*3*5)^{\frac{x}{5} }

=> (3^{5} * 5 )^{\frac{x}{5} }

=> (3^{5*\frac{1}{5} } * 5 )^{x}

=> (3*5^{\frac{1}{5} } )^{x}

=> (3\sqrt[5]{5} )^{x}

8 0
3 years ago
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How to do ratio equivalents
Oksi-84 [34.3K]
Equivalent Ratios. Students learn to find equal ratios by first writing the given ratio as a fraction, then multiplying the numerator and denominator of the fraction by the same number. For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. I hope this helps
3 0
3 years ago
Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third
asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

average=\frac{81+87+x}{3}

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87

This ine72\leq x} \leq 87quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

4 0
3 years ago
Find the area of the shaded region
zepelin [54]

Answer:

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π5^2 = 78.5

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7 x 7 = 49

78.5 - 49 = 29.5

shaded region = 29.5 square cm

3 0
3 years ago
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