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Nezavi [6.7K]
2 years ago
11

Rewrite each expression using each base only once.

Mathematics
1 answer:
mezya [45]2 years ago
8 0
Rewrite each expression using each base only once. 

 (-6)^12 * (-6)^3 * (-6)^2 
 (-6)^(12+3+2)
 (-6)^(17)
 Answer: 
 (-6)^(17)


 2^2 * 2^7 * 2^0 
 (2)^(2+7+0)
 (2)^(9)
 Answer: 
 (2)^(9)

 Simplify each expresion.

 5c^4 * c^6 
 5*c^(4+6)
 5*c^(10)
 Answer:
 5*c^10
 (-2.4n^4)(2n^-1)
 (-2.4*2)(n^4)(n^-1)
 (-2.4*2)(n^(4+(-1))
 (-4.8)(n^(4-1))
 (-4.8)(n^(3))
 Answer: 
 (-4.8)(n^(3))

 (4c^4)(ac^3)(-3a^5c)
 ((4)*(-3))*(c^(4+3+1))*(a^(1+5))
 (-12)*(c^(8))*(a^(6))
 Answer: 
 (-12)*(c^8)*(a^6)

 a^6b^3 * a^2b^-2
 (a^(6+2))*(b^(3+(-2)))
 (a^(8))*(b^(3-2))
 (a^(8))*(b^(1))
 (a^8)*(b)
 Answer: 
 (a^8)*(b)

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What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to
xxMikexx [17]

Answer:

The answer to your question is  Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

   circumference = 2πr

-Substitution

   2.9 = 2πr

-Solve for r

   r = 2.9/2π

   r = 1.45/π cm

2) Calculate the volume of the cone

   Volume = 1/3πr²h

-Substitution

   Volume = 1/3π(1.45/π)²(14.9)

-Simplify

   Volume = (1.04)(0.213)(14.9)

   Volume = 3.30 cm³

5 0
3 years ago
Find approximate radius of a circle that has an area of 60 square centimeters
elena-14-01-66 [18.8K]
Area of circle = πr^2
60=πr^2

we need to find radius (r)
so we solve for r
r^2=60/π
r=√(60/π)
r= 4.37
6 0
3 years ago
Sin0=12/37 find tan0
alexira [117]

Answer:

\large{ \tt{❃ \: EXPLANATION}} :

  • We're provide - Sin θ = \frac{12}{37} which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = \tt{  \frac{p}{h}} ] . We're asked to find out tan θ ].

\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :

\large{ \tt{❊ \:  {h}^{2}  =  {p}^{2}  +  {b}^{2} }}

\large{ \tt{⇢ {p}^{2} +  {b}^{2}   =  {h}^{2} }}

\large{ \tt{⇢ \:  {b}^{2}  =  {h}^{2}  -  {p}^{2} }}

\large{ \tt{⇢ \:  {b}^{2} = {37}^{2} -  {12}^{2}   }}

\large{ \tt{⇢ \:  {b}^{2}  = 1369 - 144}}

\large{ \tt{ ⇢{b}^{2}  = 1225}}

\large{ \tt{⇢ \: b =  \sqrt{1225}}}

\large{ \tt{⇢ \: b = 35  \: \text {units}}}

  • Now , We know - Tan θ= \tt{ \frac{perpendicular}{base} }. Just plug the values :

\large{ \tt{➝ \: Tan  \: \theta =  \frac{p}{b}  = \boxed{ \tt{  \frac{12}{35} }}}}

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

5 0
3 years ago
Determine if 51 is rational or irrational and give a reason for your answer
Luden [163]

Answer:

irrational because the square root of 51 is irrational.

8 0
2 years ago
Find the measure of arc FV
stepladder [879]

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

<u>FH major arc -  GH = FG</u>

FG => 238 - 168 = 70

<u>VG - FG major arc = FV</u>

FV => 130 - 70 = 60

4 0
3 years ago
Read 2 more answers
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