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igomit [66]
3 years ago
5

What is ✓ 48 in simplified form? 0 24 O 43 02/12 O V 48 can't be simplified.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

3rd option

Step-by-step explanation:

square 4 times 12

square root of 4 is 2

so itt would be  2/12

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
nirvana33 [79]

Answer:

Area = 26478cm^2

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

Area = \frac{\pi r^2}{2}

Where

r = 60cm

So:

A_1 = \frac{3.14 * 60^2}{2}

A_1 = \frac{11304}{2}

A_1 = 5652cm^2

Next, the area of the complete trapezium

Area= \frac{1}{2}(a + b) * h

Where

a = 300

b = 2 * r = 2 * 60 = 120

h = 153

So:

A_2 = \frac{1}{2} * (300 + 120) * 153

A_2 = \frac{1}{2} * 420 * 153

A_2 = 32130cm^2

The area of the desk is:

Area = A_2 - A_1

Area = 32130cm^2 - 5652cm^2

Area = 26478cm^2

8 0
3 years ago
Use the Law of Sines to find the measure of angle J to the nearest degree.
rjkz [21]
\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-----------------------------\\\\
\cfrac{sin(J)}{9.1}=\cfrac{sin(97^o)}{11}\implies sin(J)=\cfrac{9.1\cdot sin(97^o)}{11}
\\\\\\
\textit{now taking }sin^{-1}\textit{ to both sides}
\\\\\\
sin^{-1}\left[ sin(J) \right]=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
\\\\\\
\measuredangle J=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
8 0
3 years ago
SHOPPING Sergio, Boris, and Opa went shopping. If you add 4 dollars to the amount of money Sergio spent
Georgia [21]

Answer:

answer is 2

Step-by-step explanation:

if you create an equation: (s+4)x2 = boris          s-1x12 = opa

only one that only works out is 2        

               

6 0
3 years ago
A: -4<br> B: -16<br> C: 15<br> D: -5
baherus [9]
The answer here is B. -16

10 + -16 equals -6 and a negative divided by a negative is a positive so -6 divided by -3 is -2.

Hope this helps!
4 0
3 years ago
Is 3 x 5/6:<br> A: 15/6<br> B:15/18<br><br> ????
kiruha [24]

Answer:

3 x 5/6 is 2.5, so 15/6

Step-by-step explanation:

3/1 x 5/6

6 0
3 years ago
Read 2 more answers
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