So in finding the area of the square where the part of the yard that is not covered, first is to calculate the are of both then subtract the two and the are for the circle is pi*r^2 so it means pi*(4x)^2 then for the are of square the formula is A^2 and its (20x)^2, and i think the best answer would be 20X^2-(pi*4x^2)
<h2>Answer 1 with Explanation</h2>
Height is originally defined as the measure of the gap line connecting the lowest and highest spots of a thing or an individual standing perpendicular. Height a common measurement method that is taught to students from lower grades in order to have a clear concept of measuring figures in mathematical subjects. This further helps in finding the area of the figure in real life as well.
<h2>Answer 2 </h2>
H = 15 cm
<u>Explanation</u>
The height of the triangle can be found through the application of the Pythagoras theorem. As the height of the triangle would be the “height of the box”
Calculation using the triangular prism formula
8^2 + h^2=17^2
Rearranging the equation in order to solve it to find the height of the box.
h=✓17^2-8^2
h=✓125
h=15 cm
Thereby, the height of the box as per the question's requirement is 15 centimeters heigh.
<h2>Answer 3</h2>
Area = 1000
<u>Explanation</u>
To calculate the amount of cardboard required for the sides will be the area (lateral) of the prism.
The formula is the perimeter of base x height.
So the formula is sides are to be added and area to be multiplied.
Substituting the given values in the formula.
(16+17+17)x20
Lateral area
=50*20
=1000 cm
<h2>Answer 4 with Explanation </h2>
The amount of cardboard used to make the sides of the candy box was found using the formula of the lateral area of the box that must have been measured earlier by the individual. As seen the sides measurement is given in the question that the volume of the box is approximately 2400^3 centimeter of the candy box. Therefore the calculation showed that 1000cm.
Answer:
D.
Step-by-step explanation:
Answer: This equation has <u>one solution.</u>
Steps:
2+4(3-4x) = 5x +9
First, we need to distribute to the terms inside the parentheses.
4 * 3 = 12 and 4 * -4= -16x
Our equation now looks like this:
2 + 12 - 16x = 5x + 9
We can now combine like terms. We have 2 like terms that we can combine:
2 + 12 + = 14
Our equation now looks like this:
-16x + 14 = 5x + 9
We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.
-16x + 14 = 5x + 9
-5x -5x
The fives cancel out. Our equation now looks like this:
-21x + 14 = 9
We can now use inverse operations to get rid of the 14:
-21x + 14 = 9
- 14 -14
The fourteens cancel out. Our equation now looks like this:
-21x = -5
Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.
-21x/-21 = and -5/-21 = 5/21
x is equal to 5/21.
Hope this helps!
ok so we know that
A + B = 90
we also know that
A - B = 20
There are a lot of ways to solve this, but I think elimination will be best
A + B = 90
+ (A - B = 20)
-----------------------
2A = 110
A = 55
Therefore,
B = 90 - 55 = 35