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Andrej [43]
2 years ago
8

Zane took three typing tests and recorded the results as shown.

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0

Answer:

A

Step-by-step explanation:

For test A, the unit rate is 30 words per minute divided by 4 minutes, or 7.5 words per minute.

Unit rate = 78 words/15 minutes = 5.2 words per minute for test B.

The unit rate for test C is 99 words/22 minutes, or 4.5 words per minute.

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The table shows the total distance that Myra runs over different time periods.
Oliga [24]

Answer:

its d

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP!<br><br> What are the real and imaginary parts of the complex number?<br><br> -7+8i
klio [65]

Answer: The real  part is -6

The imaginary  part is 2i

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Express each fraction as a percent. Round your answer to the nearest whole number.
GREYUIT [131]

Answer:

60.8% which rounds to 61%

42.61% which rounds to 43%

29.14% which rounds to 29%

Step-by-step explanation:

So, there are two ways to do this, either perform the division as you see it, or make it so it is  some number over 100 instead of what it is.


For the first one if you just do the division, either with long division or with a calculator you get exactly .608.  The other two are not as nice, jsut a warning.  From here you multiply it by 100 to get the percent.  For instance with .5 (which is half) the corresponding percent is 50%, which is after you multiply .5 by 100).  if you need help with the division let me know and I can work you through one.


if we go with the second way we would want to make 125 into 100.  To do this we need to multiply it by something to get to 100.  Or in other words, 125x=100.  This winds up being .8, or 8/10  You could also see it as dividing 125 by 1.25 or 5/4, if you need help with this (or any part in particular really) let me know.  


Anyway, since one part of the fraction is being multiplied or divided, the other part does too, so you would take 76 and do the same.  Whichever number you use you get 60.8.  You don't have to  multiply this by 100 since it is already part of a fraction over 100.


Again, let me know if you need more help, I will leave the other two to you unless you need the help.

8 0
2 years ago
What is -11 2/3 x (-4 1/5) = ?
adelina 88 [10]

Answer:

49

Step-by-step explanation:

-11 2/3 x (-4 1/5) =

negative times negative = positive

Change the mixed numerals into fractions.

= 35/3 × 21/5

Multiply the numerators together. Multiply the denominators together.

= (35 × 21)/(3 × 5)

Simplify.

= (7 × 5 × 7 × 3)/(3 × 5)

Divide the numerator and denominator by 3 and by 5.

= 7 × 7

= 49

6 0
2 years ago
Find the area of the shaded region
Alex777 [14]

∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.

Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².

∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find

\sin(30^\circ) = \dfrac{h}{4\,\rm cm} \implies h= 2\,\rm cm

where h is the length of the altitude originating from vertex O, and so

\left(\dfrac b2\right)^2 + h^2 = (4\,\mathrm{cm})^2 \implies b = 4\sqrt3 \,\rm cm

where b is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².

So, the total area of the shaded region is

(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²

7 0
1 year ago
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