Step-by-step explanation:
a)
<u>Fill in the table:</u>
- Heads | 2 ⇒ 4 ⇒ 6⇒ 8 ⇒ 10 ⇒ 12
- Tails | 1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5 ⇒ 6
b)
The score of 4 is obtained in 2 cases out of 12 as per above table.
<u>The probability is:</u>
c)
The score of 10 is obtained once in 12 cases as per table.
<u>The probability is:</u>
<u>Out of 60 times he can score 10:</u>
Answer:
Find the prime factorization of 14
14 = 2 × 7
Find the prime factorization of 6
6 = 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 7
LCM = 42
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
Answer:
(3.25, 1.5)
Step-by-step explanation:
<em><u>First, turn the 2nd equation into y=mx+b form:</u></em>
у+ 2x = 8
<u> -2x -2x</u>
y = -2x + 8
<u><em>Next Substitute:</em></u>
З(-2x+8) - 2x = -2
-6x + 24 - 2x = -2
-8x + 24 = -2
<u><em>Then simplify:</em></u>
-8x + 24 = -2
<u> -24 -24</u>
-8x = -26
x = 3.25
<em><u>Lastly, substitute x into any one of the original equations:</u></em>
y + 2 (3.25) =8
y + 6.5 = 8
<u> - 6.5 - 6.5</u>
y = 1.5
please give me brainliest i worked hard on this :,)
and its 1000% correct, i checked it i promise
Answer:
m∠3 = 115 degrees
Step-by-step explanation:
angle 6 and angle 8 are on a straight line
we know that sum of angles on straight line is 180
therefore
m∠8 = x+5
m∠6 + m∠8 = 180
2x - 5 + x+5 = 180
=> 3x = 180
=> x = 180/3 = 60
Thus,
m∠6 = 2x-5 = 2*60 - 5 = 115
we know that for two parallel lines cut by a transversal
alternate opposite angles are equal
m∠6 and m∠3 are alternate opposite angles
thus
m∠6 = m∠3 = 115 (answer)
