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4 years ago

49.5 is what percent of 33

1 answer:

7 0

$making\ fraction\ and\ multiplying\ by\ 100\%:\\
\frac{49.5}{33}*100\%=\frac{4950}{33}\%=150\%\\\\
49.5\ is\ 150\%\ of\ 33.$

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4.60 divided by 10.12

yuradex [85]

The answer is 0.45 repeated

3 0

3 years ago

Read 2 more answers

I need help fast please!!

kaheart [24]

Solution set is: ( $7,\frac{13}{3}$ )

Option B is correct

Step-by-step explanation:

We need to find the solution to system of equations

$y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5$

Let:

$y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7$

So, value of x=7

Putting value of x into equation 1 to find the value of y:

$y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}$

So, value of y = $\frac{13}{3}$

Solution set is: ( $7,\frac{13}{3}$ )

Option B is correct

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

3 0

4 years ago

What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8

KengaRu [80]

Answer:

Formula for the Arc length is given by:

$\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}$

As per the statement:

radius of circle(r) = 6 units

Angle ( $\theta$ ) = $\frac{7 \pi}{8}$ radian

Use conversion:

$1 rad = \frac{180}{\pi}$

$\frac{7 \pi}{8}$ = $\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}$

then;

substitute these given values we have;

Use value of $\pi = 3.14$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375$

Simplify:

$\text{Arc length}=16.485$

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0

3 years ago

How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:

borishaifa [10]

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Step-by-step explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as

$V_{s}=\frac{4}{3} \pi r^{3}$

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

$V_{c}=\pi r^{2}h$

but h = 2r

Hence we have

$V_{c}= 2\pi r^{3}h$

We can divide the two volumes to get a constant that links them together

$\frac{V_{s}}{V_{c}}=\frac{\frac{4}{3} \pi r^{3}}{2\pi r^{3}h}$

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

3 0

4 years ago

They are arranged randomly because manual typewriters tended to jam if the user typed too fast - therefore the arrangement was i

solmaris [256]

Answer:

Huh

Step-by-step explanation:

Huh......................

8 0

3 years ago

Read 2 more answers