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yuradex [85]
3 years ago
13

What is the value of the expression below? (6¼) x (6¼) x (6¼) x (6¼)

Mathematics
1 answer:
matrenka [14]3 years ago
7 0

Answer:

6

Step-by-step explanation:

  • The expression 6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}} can be simplified by applying  power properties.
  • Particulary, there is a property known as "power of a product property" that states that, when there is a product of a series of numbers that share the same base "a", a^n\times{a^m}\times{a^j}, the result of the multiplications is a^{m+n+j}.
  • Then,in this particular case 6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}  equals 6^{\frac{1}{4} +\frac{1}{4} +\frac{1}{4} +\frac{1}{4} }=6^1=6
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Help asap!!!
dangina [55]

\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }

3 0
3 years ago
The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280.
7nadin3 [17]

Answer:

radius = 35.03 m

Step-by-step explanation:

5280/24 = circumference = 220 m

220 /Pi = diameter = 70.06 m

70.06/2 = radius = 35.03 m

6 0
2 years ago
a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie
Ratling [72]

Answer:

12\pi (inches)^{2}

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = 24\pi (inch)^{2}

Find the volume of the cone?

We know the area of cone = \pi r(r+s) -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

24\pi=\pi r(r+s) -------(1)

\frac{24\pi }{\pi r} =r+s

\frac{24}{ r}-r =s

Put r value in above equation.

s =\frac{24}{ 3}-3

s=8-3

s=5

The side s = 5 inches

We know the side of the cone formula

s^{2}=r^{2}+ h^{2}

h^{2}=s^{2}- r^{2}

Put r and s value in above equation.

h^{2}=5^{2}- 3^{2}

r^{2} = 25-9

r^{2} = 16

r = 4

The volume of cone is

V = \frac{1}{3} \pi r^{2} h

Put r and h value in above equation.

V = \frac{1}{3} \pi (3)^{2}\times 4

V = 12\pi (inches)^{2}

The Volume of the cone is 12\pi (inches)^{2}

7 0
3 years ago
A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth​ (in miles)
navik [9.2K]

Answer:

2.5 x 10^{15} miles

3 0
2 years ago
Read 2 more answers
What is the slope of (10,5) and (-2,-4)
postnew [5]
To find the slope, use the equation
m = (y2-y1)/(x2-x1)
Since we have 2 coordinates, we can use the formula.
m = (-4-5)/(-2-10) = (-9)/(-12) = 3/4. The slope is 3/4. Hope this helps.
3 0
2 years ago
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