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Anton [14]
3 years ago
6

The fully simplified form of 2ab÷(8a) is:

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

\dfrac{2ab}{8a}

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4

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Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest
Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length =\dfrac{\theta}{360^\circ}X2\pi r

=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)

(b)Area of the sector

Area of the sector =\dfrac{\theta}{360^\circ}X\pi r^2

=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)

3 0
4 years ago
Read 2 more answers
What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x?
inn [45]
Hello :
y = 3x²+9x
   = 3(x² + 3x )
   = 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
   = 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex  is : - 3/2</span>
8 0
3 years ago
Read 2 more answers
Solve for m.<br><br>-7 + 4m + 10 = 15 -2m<br><br><br><br>​
kykrilka [37]

Answer:

M=2

Step-by-step explanation:

m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6

5 0
3 years ago
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To the nearest degree, what is m A
Simora [160]

Answer:

53°

Step-by-step explanation:

With reference angle A

perpendicular (p) = 9.6

base (b) = 7.2

Now

tan A = p / b

tan A = 9.6 / 7.2

A = tan^ - 1 ( 9.6 / 7.2)

A = 53°

Hope it will help :)❤

6 0
3 years ago
Evaluate the expression shown. 8(12+15)+4
saul85 [17]

Answer:

Step-by-step explanation:  Be sure to do the parentheses work first.  Actually you have 8 times 27 plus 4. That is 216 plus 4 which is 220.

7 0
4 years ago
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