To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.
In this question, the height is 3 square units and the base length is 4 square units.
Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.
So the area of this triangle is 6 square units.
Answer:
See Explanation
Step-by-step explanation:
Given
Required
The acres owned by the government
The question is incomplete as the proportion (p) owned by the government is not given.
However, the formula to use is as follows:
Assume the proportion is 28%, the equation becomes
<em>The acres owned by the government will be 22741201.28</em>
Answer:
(1/4)*(e⁶ - 7)
Step-by-step explanation:
a) Given
x − y = 0 if x = 0 ⇒ y = 0
x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2
x + y = 0 if x = 0 ⇒ y = 0
x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3
then we show the region R in the pics 1 and 2.
b) We make the change of variables as follows
u = x + y
v= x - y
If
x - y = 0 ⇒ v = 0
x − y = 2 ⇒ v = 2
x + y = 0 ⇒ u = 0
x + y = 3 ⇒ u = 3
Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.
c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA
The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.
Answer: lemon cremes contain 70 calories. fudge cookies contains 95 calories
Step-by-step explanation:
Let x represent the amount of calories in lemon cremes.
Let y represent the amount of calories in fudge cookies.
Three lemon cremes plus two fudge cookies have 400 calories. This means that
3x + 2y = 400 - - - - - -- - - - -1
Two lemon cremes plus three fudge cookies have 425 calories. This means that
2x + 3y = 425- - - - -- - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 800
6x +9y = 1275
Subtracting,
-5y = - 475
y = - 475/- 5
y = 95
Substituting y = 95 into equation 1, it becomes
3x + 2×95 = 400
3x = 400 - 190 = 210
x = 210/3 = 70
x = 70
Reflection across the x-axis (because there is a negative)
And
Vertical compression (because a is between 0 and 1)