Answer:
its 8
Step-by-step explanation:
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
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<u>Answer: 243.17</u>
Answer:
You will have a 1/6 probability of getting a 2 that will land face up on the next roll.
Step-by-step explanation:
There is only one two on the cube, which means you will have 1 chance out of 6 of getting a 2.
Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
Hey!
Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction. To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.
<em>Original Fraction :</em>

<em>New Fraction {Changed by Conversion} :</em>

Now that we've successfully done that we'll have to change the equation.
<em>Old Equation :</em>

÷

= ?
<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>

·

= ?
Now we multiply straight across.
<em>Old Equation :</em>

·

= ?
<em>Solved :</em>

Almost done!
Now we have to simplify the fraction.
<em>Old Fraction :</em>

<em>New Fraction {Changed by Simplification} :</em>

Now just convert it to a whole number by removing the fraction line and the number, and that's it!
<span><em>So,

÷

equals</em></span>
15.
Hope this helps!
- Lindsey Frazier ♥