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sveticcg [70]
3 years ago
11

A Cylinder has a base radius of 7m and a height of 14m. what is its volume in cubic in to the nearest tenths place

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

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How to find the area of a regular polygon?
vaieri [72.5K]
To find the regular follow this formula ; area = 1/2 x perimeter x apothem. Which means ... perimeter = the sum of lengths of the all sides
4 0
3 years ago
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Help<br> Cannot use the tactic of moving the variables in my school<br> -5-3w=7w
nevsk [136]
Collect like terms
-3w - 7 w =5
Divide both sides by -10
-10w =5
w = -1/2
7 0
3 years ago
The probability that a person in the United States has type B​+ blood is 10%. Four un-related people in the United States are se
marysya [2.9K]

Answer:

a. 0.0001

b. 0.6561

c. 0.3439

d. B. The event in part​ (a) is unusual because its probability is less than or equal to 0.05.

Step-by-step explanation:

a. # We are given that the probability that a person in the United States has Type B+ blood = 0.10. Also we are told that four unrelated people in the United States are selected at random.

#We have to find here the probability that all four have type B+ blood.

Since the events are independent, we have :

Probability that all four have B+ blood  = 0.10 x 0.10x 0.10x0.10

                                                                                       = 0.0001

Therefore, the probability that all four have type B+ blood is 0.0001

b. We have to find the probability that none have B+ blood. Using the complementary law of probability we have:

Probability that blood type is not B+ = 1 - 0.10= 0.90                                                                        

Therefore, the probability that none have B+ blood

= 0.90 x 0.90 x 0.90x0.90=0.6561

Therefore, the probability that none have B+ blood is 0.6561

c. We have to find the probability that at least one of the four have B+ blood.

#The probability that at least one of the four have B+ blood = 1 -  Probability that none have B+ blood type

=1-0.6561=0.3439

Therefore,the probability that at least one of the four has type B+ blood is 0.3439

d. An event is considered unusual if the probability of the event is small or less than 0.05 . We note that event a is the only small probabilty and is less than 0.05.

-a is thus considered unusual(the rest are all usual events)

                                                                                                                 

6 0
3 years ago
What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?
denis23 [38]
The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle  (x,y):
d^2 = (x-x_0)^2 + (y-y_0)^2
Plugging in points A and B into distance formula, then setting them equal to each other gives:
(x-2)^2+(y-6)^2 = (x-2)^2 + y^2
Right away we can cancel out the x terms leaving:
(y-6)^2 = y^2
Expand Left side and Solve for y:
y^2 -12y +36 = y^2
y = 3
Plug in points B and C as before:
(x-2)^2 + y^2 = (x-10)^2 + y^2
Here we can cancel the y-terms.
Expand and solve for x:
x^2 -4x+4 = x^2 -20x+100
16x = 96
x = 6
Therefore the center of the circle is the point (6,3)
6 0
4 years ago
Find all the missing sides and angles of this triangle.
3241004551 [841]

Answer:

A = 20°

AC = 6.6

BC = 2.4

Step-by-step explanation:

Given:

B = 70°

C = right angle = 90°

AB = 7

Required:

A, AC, and BC

Solution:

✔️A = 180 - (90 + 70) (sum of triangle)

A = 20°

✔️Use trigonometric function to find AC:

Refernce angle = 70°

Opp = AC

Hypotenuse = 7

Apply SOH,

sin 70 = Opp/Hyp

sin 70 = AC/7

7 * sin 70 = AC

6.57784835 = AC

AC = 6.6 (nearest tenth)

✔️Use trigonometric function to find Bc:

Refernce angle = 70°

Adj = BC

Hypotenuse = 7

Apply CAH,

cos 70 = Adj/Hyp

cos 70 = BC/7

7 * cos 70 = BC

2.394141 = BC

BC = 2.4 (nearest tenth)

3 0
3 years ago
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