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evablogger [386]
3 years ago
13

Rectangle ABCD has a perimeter of 32 units and will

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

Check below

Step-by-step explanation:

1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.

2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.

3) Let's calculate its radius, based on the information given, i.e. the perimeter:

2p=32\\2p=b+b+h+h\\2p=2(b+h)\\2(b+h)=32\\b+h=16\\b.h=60\\\\b=10\: and \:h=6

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.

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If a baseball player has 5 hits in 20 at bats, what is the probability in the decimal to the thousandths place that he will get
k0ka [10]

Answer:

Probability = 0.250

Step-by-step explanation:

Given

Hits = 5

Bats = 20

Required

Determine the probability of hit in next at-bat

This question illustrates theoretical probability and the required probability is calculated using:

Probability = \frac{Events\ Occurrence}{Trials}

In this case, we have:

Probability = \frac{Hits}{Bats}

Probability = \frac{5}{20}

Probability = 0.250

5 0
3 years ago
I dont understand the circled question ....please help!
irina1246 [14]

Parallel lines NEVER intersect/meet, this is because they have the same slope and they go in the same direction.

These lines are parallel because they have the same slopes of 3/4 (because they go 3 units up and 4 units to the right. slope = rise/run)

7 0
3 years ago
The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:
denis23 [38]
Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)

Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is f(x)=-0.03x^{2}+3x.
Plugging 15 and 35 in x, we can find the values of the function, i.e. 
f(15)=38.25 and f(35)=68.25.
Then, the average change is \frac{68.25-38.25}{35-15}=1.5
4 0
3 years ago
Read 2 more answers
X + 7 = 16<br> X = 16 - 7
vfiekz [6]

Answer:5

dhhddhhhhddkskkStep-by-step explanation:

8 0
2 years ago
Read 2 more answers
20 POINTS!
alukav5142 [94]
I think it was √(a^2+b^2. I think.
8 0
3 years ago
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