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astra-53 [7]
3 years ago
9

Please help me! Geometry! Transition math

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

total area = 18.28 in.^2

perimeter = 16.28 cm

Step-by-step explanation:

Area:

The total area of the figure is the sim of the area of the rectangle and the area of the semicircle.

total area = LW + (1/2)(pi)r^2

total area = (4 in.)(3 in.) + (1/2)(3.14)(2 in.)^2

total area = 12 in.^2 + 6.28 in.^2

total area = 18.28 in.^2

Perimeter:

The perimeter of the figure is the sum of the lengths of the left side, bottom side, and right side of the rectangle and the circumference of the half circle.

perimeter = 3 cm + 4 cm + 3 cm + (1/2)(pi)d

perimeter = 10 + (1/2)(3.14)(4 cm)

perimeter = 10 + 6.28 cm

perimeter = 16.28 cm

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What is the probability of rolling an even number on a standard number cube and then rolling a one
expeople1 [14]

Answer:

multiply the chances

1/2 (every other number is even right)

1/2 x 1/6 (if it is a normal dice) = 1/12

1/12 chance

Step-by-step explanation:

4 0
3 years ago
A baseball pitcher won 60% of his games. How many did he win if he pitched 35 games?
Sergio039 [100]

Answer:

21 games

Step-by-step explanation:

Multiply the number of games by the percentage.

35 · 0.60 = 21

6 0
3 years ago
Erin is 8 years younger than twice Paula’s age. The sum of their ages is 40. How old is Erin
Lina20 [59]
You do the sum(40) subtracted by 8, the answer from that divided by 2 since Erin's two times younger.
40-8=32
32÷2=16
Then if you want to check it you do the opposite and get the same sum(40) so 16×2=32 and 32+8=40
6 0
3 years ago
Find the equations of the following lines
White raven [17]

You need these two basic solutions and facts to find the equation of a line:

  • If you know the gradient m and one point (x_0,y_0):

y-y_0=m(x-x_0)

  • If you know the gradient two points (x_1,y_1),\ (x_2,y_2):

\dfrac{x-x_2}{x_1-x_2}=\dfrac{y-y_2}{y_1-y_2}

  • The slope of a line is the coefficient m when you write it in the y=mx+q form
  • Parallel lines have the same slope
  • The slopes of perpendicular lines give -1 when multiplied

We can use this list to solve all the exercises:

b)

Use the first equation to get

y-1=-4(x-2) \iff y=-4x+9

c)

Use the second equation to get

\dfrac{x-4}{2-4}=\dfrac{y-2}{-1-2} \iff \dfrac{x-4}{-2}=\dfrac{y-2}{-3}\iff 3(x-4)=2(y-2) \iff 3x-12=2y-4 \iff 2y = 3x-8 \iff y = \frac{3}{2}x-4

d) same as c)

e) We derive the slope of the line by writing it as

5y = -x-15 \iff y = -\dfrac{1}{5}x-3

So, the slope is -1/5. From here, it's the same as b)

f) same as e)

g) Again we find the slope as

3x+y+2=0\iff y=-3x-2

so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).

6 0
4 years ago
The table below shows the surface area y, in square feet, of a shrinking lake in x days:
andreyandreev [35.5K]
Based on the data, the most likely correlation coefficient would be -1.
The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.

Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days:  80-90=-10; 30-20=10; -10/10=-1
This is not causation because there could be lurking variables we cannot see.
6 0
3 years ago
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