Answer:
I think its 14.58
Step-by-step explanation:
luv you
A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. Each point of the image is distinguished from those of the pre-image by using a prime symbol.
The distance traveled by the second hand of the clock is 0.471 m.
<h3 />
To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.
<h3>Formula:</h3>
- L = 2πr∅/360.................. Equation 1
<h3> Where: </h3>
- L = distance traveled by the tip of the second hand.
- r = Length of the second hand
- ∅ = angle formed by the second hand of the clock
- π = pie
From the question,
<h3>Given:</h3>
- r = 10 cm = 0.1 m
- ∅ = (360×45/60) = 270°
- π = 3.14
Substitute these values into equation 1
- L = 0.1×2×270×3.14/360
- L = 0.471 cm.
Hence, The distance traveled by the second hand of the clock is 0.471 m
Learn more about distance traveled here: brainly.com/question/4931057
<h3 />
Ur gonna have to pick an equation and solve for a variable.
2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3
now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
-42 -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3
now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6
solution is (6,3)
it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)
so yes, ur solution is (6,3)
Answer:
<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Radius = 9 feet
Height = 13 feet
2. What is the exact volume of the cone?
We will use the following formula to calculate the volume of the cone:
Volume of the cone = π * Radius² * Height/3
Volume of the cone = 3.1416 * 9² * 13/3
Volume of the cone = 3.1416 * 81 * 13/3
Volume of the cone = 3.1416 *9² * 13/3
<u>Volume of the cone = 1,102.7 feet³ (cubic)</u>
