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3 years ago

Geometry, multiple choice. Answer all if possible. Ty.

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

12. The answer is B because the sum of any two sides of a triangle must be greater than the other side.
A. 4 → 4 + 4 is not GREATER than 8
B. 8 → 4 + 8 is greater than 8 and 8 + 8 is greater than 4
C. 12 → 4 + 8 is not GREATER than 12
D. 16 → 4 + 8 is not GREATER than 16

13. The central angle containing the green beans is 360° - (195°+98°) = 67°.
If the diameter of the circle is 12 then the circumference = πd = 12π.
$\frac{67}{360}$ × 12π≈7.013
So the correct answer is A
67/360 represents the portion of the circle which is green beans and you multiply it by the circumference to find the length of that arc.

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Without using calculator or table find the value of sin 15°

lubasha [3.4K]

Answer:

.25881

Step-by-step explanation:

sin15

=sin(45-30)

=sin45.cos30-cos45.sin30

=(0.707×0.86)-(0.707×0.5)

=(0.6082)-(0.3535)

=0.25

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3 years ago

10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi

lisabon 2012 [21]

Answer:

0.06597

Step-by-step explanation:

Given that thirty-seven percent of the American population has blood type O+

Five Americans are tested for blood group.

Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.

Also probability of any one having this blood group = p = 0.37

So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5

Required probability

=The probability that at least four of the next five Americans tested will have blood type O+

= $P(X\geq 4)\\= P(X=4)+P(x=5)\\= 5C4 (0.37)^4 (1-0.37) + 5C5 (0.37)^5\\= 0.06597$

7 0

3 years ago

Read 2 more answers

15. What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

FOR QUESTION 16

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0

3 years ago

A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t

evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

where r = radius of the container and h is the height of the container

r = 3cm and h = 12 cm π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

=3.14 × 3²×12

=3.14×9×12

=339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water = πr²h

r is the radius of the container and h is the height of the water

r = 3cm and h = 7cm

volume of water = πr²h

= 3.14 ×3²×7

=3.14×9×7

=197.82 cm³

volume of empty space = volume of the cylinder - volume of water

=339.12 cm³ - 197.82 cm³

= 141.3 cm³

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

= 12 - 7

=5 cm

volume of empty space = πr²h

=3.14×3²×5

=3.14×9×5

=141.3 cm³

volume of empty space = 141.3 cm³

4 0

3 years ago

I don't know how to explain it

Lemur [1.5K]

Answer:

Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Step-by-step explanation:

5 0

3 years ago

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