Answer:
15 cups
Step-by-step explanation:
5x3 is 15
even the denominator by multiplying.
do what you multiplied on the numerator.
Answer:
The circumference of the circle is 52π
Step-by-step explanation:
To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of a circle and we will clear the radius
a = area = 676π
r = radius
a = π * r²
we clear r
r = √(a/π)
now we replace the known values
r = √(676π/π)
r = √(676)
r = 26
now we use the formula to calculate the circumference of a circle
c = π * 2r
c = π * 2 * 26
c = 52π
The circumference of the circle is 52π
Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:
![S = \frac{n}{2} * (2a + (n - 1) * d)](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%2A%20%282a%20%2B%20%28n%20-%201%29%20%2A%20d%29)
If we plug in our values, we have:
![S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7B100%7D%7B2%7D%20%2A%20%282%20%2A%204%20%2B%20%28100%20-%201%29%20%2A%205%29%20%3D%2050%20%2A%20%288%20%2B%2099%20%2A%205%29)
S = 50 * (8 + 495) = 50 * 503 = 25150
Answer: 2x-52
Step-by-step explanation:
All of the angles in a triangle add up to 180°.
![{??} = 180 - (19 + 15) \\ {??} = 180 - 34 \\ {?}{?} = 146](https://tex.z-dn.net/?f=%20%7B%3F%3F%7D%20%20%3D%20180%20-%20%2819%20%2B%2015%29%20%5C%5C%20%20%7B%3F%3F%7D%20%20%3D%20180%20-%2034%20%5C%5C%20%20%7B%3F%7D%7B%3F%7D%20%20%3D%20146)
The missing angle is 146°