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romanna [79]
3 years ago
7

Change the following mixed expressions to fractions and then simplify the complex fractions.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

X=2

Step-by-step explanation:

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A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer
Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}

7 0
2 years ago
Find the missing measures of the following rectangle
Allushta [10]

Answer:

see explanation

Step-by-step explanation:

In a rectangle

• All angles are right angles

• the diagonals are congruent

In Δ WXV the sum of the 3 angles = 180°

∠ WXZ = ∠ XWY = \frac{180-64}{2} = \frac{116}{2} = 58°

∠ YXZ = 90° - 58° = 32°

∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )

∠ XWZ = 90° ( by definition of rectangle )

∠ XZY = ∠ WXZ = 58° ( corresponding angles )

7 0
3 years ago
Type the missing number in this sequence: 1, 2, 4, 8,​
Phoenix [80]

<u>Answer:</u>

16

<u>Explanation:</u>

what comes next is 16

for the function: y=2^x

6 0
2 years ago
Ngl i forgot whats 23+41
hoa [83]
64 is the answer and apparently it needs to be longer than 20 characters
3 0
3 years ago
Read 2 more answers
Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also h
AnnZ [28]

Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22

3 0
3 years ago
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