Answer:
(1). 
(2).a. 
square feet
b. 
cubic feet
Step-by-step explanation:
(1).
The rocket is made up of a cylinder and a cone, this means its total volume 
is
Now
Thus
(2).
a. The floor is a disk with diameter 10/2 = 5 feet; therefore, its area 
is
b.
The volume of the space inside the observatory 
is equal to the volume of the cylinder and the hemisphere:
Thus
Answer:
<u>The correct answer is D. 414 in squared.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Area of the first circle = 11.5 inches ²
2. Let's calculate the area of the new circle, given that the radius of the first circle is multiplied by 6.
Area of the first circle = 11.5 inches ²
Let's find the radius:
π * r² = 11.5
r² = 11.5 / 3.1416
r² = 3.66055513
r = 1.91 inches
The first circle has a radius of 1.91 inches
So, the radius of the second circle is 1.91 * 6 = 11.48 inches
Area of the second circle = π * r²
Area of the second circle = 3.1416 * 11.48²
Area of the second circle = 3.1416 * 131.79
Area of the second circle = 414.03 inches ²
<u>Area of the second circle = 414 inches ² (Rounded to the nearest whole number)</u>
<u>The correct answer is D. 414 in squared.</u>
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
===========================================================
Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
------------
Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
Answer:
1) you use any parallel lines or rectangles we can double the triangle to get the area and then divide by 2 as we know the length is 92.5yards and we know the width is 53.5 yards.
We would x these by each other and then divide by 2.
We have the width 53 1/2 yards wide and convert this to decimal if we want.
= 53.5 yards.
We then can count the yards for the length = 90 hash marks = 90 yards+ 2.5
= 92.5yards.
We square then add to find the hypotenuse diagonal line but it is an estimate as the lines inscribed subtends into the corner and it becomes a little larger as bottom line is used. Diagonal is found after by doing a reverse equation on the area.
53.5 x 92.5 then divide by 2 = 4948.75/2 = 2474.375
then 2474.375/ 26.75 = 92.5
This proves the line is isosceles and also find the height of the triangle.
But only as an estimate as the actual line distends
Last answer is B and W are equal measures this is because we do not see a right angle and if we bisected the triangle from the goal line to the left side we would prove the midpoint goal line is actually equal and makes lines of play isosceles where two sides are the same at point B and W.
So the answer is 1 yard as B runs the length of the goal back to a position of diagonal run.
The diagonal length is 92.5 yards
Step-by-step explanation:
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
