There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left

Dividing both sides by 10

There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Answer:
A) y =
, x = 11
Step-by-step explanation:
We can use the 60 degree angle to help us solve this.
Remember: tan(angle) = opposite/adjacent
Using this formula, we get that
tan (60 degrees) = y / (11/2)
This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.
Simplifying this expression, we get that
= y/(11/2)
Multiplying both sides by 11/2, we get
= y
We can now use the pythagorean theorem to help us solve for x
Remember: a² + b² = c²
Since x is the hypotenuse, it is the c value. Therefore, we get:
(11/2)² + (
)² = x²
Simplifying this, we get
+
= x²
Simplifying this some more, we get
484/4 = x²
121 = x²
Taking the square root of both sides, we get that
x = 11
I hope this helps!
Answer:
Step-by-step explanation:
This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.
We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:
where s is a side.
Since we are looking for the rate at which the area is changing,
, we need to take the derivative of area formula implicitly:
that means that if
is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:
so
s = 7
We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is
. Filling it all in:
and

Answer:
The mass of the grains = 120 ± 1 g
Step-by-step explanation:
we are given the following:
Total mass of container + grains = 185 grams
Mass of container = 65 grams
Therefore, mass of grains is calculated as follows:
Mass of grains = ( Mass of container + grains) - mass of container
= 185 - 65 = 120 grams.
since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g