Answe
Step-by-step explanation:
The interior angles of a triangle add up to 180. We know from the photo that there is a 90° angle and an 18° angle, and 90-18 is 72, so the other interior angle is 72°. The question is asking you to find the value of side x, so you'll need to use sin.
sin (72°) = x/16
x ≈ 15.2
Answer:
Option D. Marcelina spends less that the intended amount of money and buy less than enough corn
Step-by-step explanation:
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair F(15.15)
That means
15 kg of white corn and 15 kg of yellow corn
therefore
Total kg of corn bought is


Total spend is


therefore
Marcelina spends less that the intended amount of money and buy less than enough corn
4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.
We construct a number
such that taking it mod 4, 5, and 7 leaves the desired remainders:

- Taken mod 4, the last two terms vanish and we have

so we multiply the first term by 3.
- Taken mod 5, the first and last terms vanish and we have

so we multiply the second term by 2.
- Taken mod 7, the first two terms vanish and we have

so we multiply the last term by 7.
Now,

By the CRT, the system of congruences has a general solution

or all integers
,
, the least (and positive) of which is 27.
Answer:
x=2
Step-by-step explanation:
5(x+3)-2=13
5(x+3)=15
x+3=5
x=2
1788.11. Because the 0 will go to 1 because of the 6