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docker41 [41]
3 years ago
15

A bag contains 18 blue marbles and 12 red marbles. If 2 marbles were removed without being replaced, what is the probability tha

t the first marble will be blue and the second will be red
Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0
Blue- 18/30 or 9/15
red- 12/30 or 2/5
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An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
BlackZzzverrR [31]
Sin = opposite/hypotenuse, so one side is 7 and the other is 8.
sqrt(64-49)=sqrt(15) which is the third side, and tangeant = opposite/adjacent, which is 7/sqrt(15). Cotangeant is 1/tangeant, so it would be sqrt(15)/7
7 0
3 years ago
The minute hand on an analog clock is 8 inches long. how far does the tip of the minute hand travel in 16 minutes
Dahasolnce [82]
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means 
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°

the length of a circumference=2*pi*r
for r=8 in

the length of a circumference=2*pi*8-----> 50.24 in

if 360° (full circle) has a length of----------------> 50.24 in
  96°---------------------------> x
x=96*50.24/360------> x=13.40 in

the answer is
13.40 in

5 0
3 years ago
Two supplementary angles are in the ratio of 1 to 3. The measure of the larger angle is 60 67.5 120 135
Aliun [14]
180/4 = 45

45 x 3 = 135

answer: <span>The measure of the larger angle is 135 (last choice)</span>
6 0
3 years ago
Read 2 more answers
Blain is two years older than three times Jillians age. Jillian is also 16 years younger than Blain. How old is Blain?
Ipatiy [6.2K]

The age of Blain is 23 years old

<h3><u>Solution:</u></h3>

Let the age of Blain be "a" and age of Jillian be "b"

Given that Blain is two years older than three times Jillians age

So we can frame a equation as:

age of blain = 2 + 3(age of Jillian)

a = 2 + 3b ----- eqn 1

Also given that Jillian is also 16 years younger than Blain

Age of Jillain = Age of Blain - 16

b = a - 16 ---- eqn 2

Substitute eqn 2 in eqn 1

a = 2 + 3(a - 16)

a = 2 + 3a - 48

a - 3a = -46

-2a = -46

a = 23

Thus the age of Blain is 23 years old

4 0
3 years ago
3/4 picked apples. If 120 students picked apples, how many picked bananas
Oxana [17]

Answer:

40 students picked bananas

Step-by-step explanation:

3/4 picked apples    

1 - 3/4 = 1/4 picked bananas

3/4x = 120

Multiply both sides of the equation by 4/3

4/3 * (3/4x) = 120/1 * (4/3)

x = 480/3

x = 160

                                               Total of 160 students

                                               /                                   \

                                   120 = apples                  160 - 120 = 40 = bananas

40 students picked bananas

Hope this helps :)

6 0
3 years ago
Read 2 more answers
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