Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.
Answer:
Step-by-step explanation:
<u>This is an AP with:</u>
- The first term a₁ = 12
- Common difference d = 3
- Number of terms n = 40
<u>Number of the seats:</u>
- Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)
- S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seats
<u>Formula of nth term:</u>
- aₙ = a₁ + (n - 1)d
- aₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9
- aₙ = 3n + 9
Answer:
6.25 miles
Step-by-step explanation:
To find how many miles they ran, divide the number of kilometers by 1.6
10/1.6
= 6.25
So, they ran 6.25 miles
To see if 8 is the solution to the equation, 3 (x - 2) + 4 = 22, you must replace x with 8 and solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS . If the sides are equal to each other then 8 IS a solution.
3(8 - 2) + 4 = 22
Parentheses...
3(8 - 2) + 4 = 22
8 - 2 <<<In the parentheses so you must solve first
6
so...
3(6) + 4 = 22
Multiplication...
3(6) + 4 = 22
3 * 6
18
so..
18 + 4 = 22
Addition...
18 + 4 = 22
18 + 4
22
so...
22 = 22
Are they equal to each other? YES!!!
8 is a solution to the equation 3 (x - 2) + 4 = 22
Hope this helped!
~Just a girl in love with Shawn Mendes
Step-by-step explanation:
1. 3 and 2 are complementary because when you add them up, they give a toral of 90°.
2. As you may tell from the picture, and that they stated it in the question, angles 1 and 2 are added and they give a total of 90°.
3. If we consider that angle 3 is somewhat equal to angle 1, then the statement is true.
4. As I mentioned, if angle 1 and angle 3 are equal, then the statement is also true.
5. It was kind of proven above that angle 1 and angle two are similar, so this is true.
6. Like option 5, this is also the same thing.
I hope it helped!
