Answer:
90
Step-by-step explanation:
First, we should find the area of the trapezoid, and then subtract the area of the removed triangle in order to find the shaded area.
Area of the trapezoid
1) Area of the rectangle in the middle.
Base Length: 10
Height Length: 10
Area: 10 x 10 = 100
2. Area of the triangles on the side
Base Length: (14 - 10)/2 = 2
Height Length: 10
Area: 2 x 10 x 1/2 = 10
There are two triangles: 10 x 2 = 20
Area of the trapazoid: 100 + 20 = 120
Area of the triangle that's been removed
Base Length: 10
Height Length: 10 - 4 = 6
Area: 10 x 6 x 1/2 = 30
Shaded area
Area of the trapezoid - Area of the triangle
120 - 30 = 90
Area of the shaded region is 90.
Answer:
The chemical element loses 4% of its weight everyday
Step-by-step explanation:
Here, we are interested in knowing the percentage weight loss of the chemical each day.
The key to answering this is looking at the expression inside the bracket.
We can express M(t) = 169•(0.96)^t as
M(t) = 169•(1-0.04)^t
So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here
Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%
Answer:
C(x) = R(x) - P(x)
C(x) = 260x - P(x)
Step-by-step explanation:
I think some information is missing in the question. However, symbolically, the answer for Total Cost (C(x)) = 260x - P(x), where P(x) is the profit.
Basically, we derived that from:
P(x) = C(x) - R(x).,
By making C(x) subject of formula, we have:
C(x) = R(x) - P(x)
Since, we only know the value of R = 260x, then, we have;
C(x) = 260x - P(x)
Answer:
61,01%
Step-by-step explanation:
We must consider that her total energy intake is the addition of the energy given by the carbohydrates, fats and proteins she takes.
1g of carbohydrates contains 4kcal
1g of proteins contains 4kcal
1g of fat contains 9 kcal.
That is: 243 g of carbohidrates is equal to 972 kcal; 41g of fat is equal to 369 kcal and 63 g of proteins is equal to 252 kcal.
If we sum up all the calories she intakes in one day, the result is= 972kcal+369kcal+252kcal=1593kcal.
Now, we make a rule of 3: If 1593kcal is the 100% of the intake, then 972kcal = 972kcal*100%/1593kcal = 61,01%
Answer:
no
Step-by-step explanation:
Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:
- first, check the directions to make sure they are opposite,
- then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.
3 is not the opposite of -6
__
6 is the opposite of -6
