9514 1404 393
Answer:
5/6
Step-by-step explanation:
The scale factor is the ratio of corresponding dimensions. The image dimension is divided by the preimage dimension.
k = 30/36 = 25/30 = 5/6
The scale factor is 5/6.
Answer:
i) k = 36.8
ii)y = 36.8/square root of x
iii)y = 1.4
Step-by-step explanation:
If y is inversely proportional to square root of x;
then the two variables are related by,
y = k/ square root of x
i)Value of k when...x = 8 and y = 13,
substitute into the equation above..so as to find the value of k
13 = k/square root of 8
;k = 13 × square root of 8
;k = 36.8
ii)Then substitute the value of k with...36.8
y = 36.8/square root of x
iii)If x = 27...then y =;
y = 36.8/27
y = 1.4
Answer: 2
Step-by-step explanation:
Recall from the laws of Logarithms:
Log a - Log b = Log ( a/b )
That means
Log 200 - Log 2 = Log ( 200/2)
= Log 100 , which could be written as
Log 
Recall from laws of Logarithms:
Log 
= b Log a
Therefore:
Log = 2 Log 10
Also from law of Logarithm
Log 10 = 1
Therefore 2 Log 10 = 2 x 1
= 2
y<-14/3 is the answer
Step 1: Simplify both sides of the inequality.
−3y+2>16
Step 2: Subtract 2 from both sides.
−3y+2−2>16−2
−3y>14
Step 3: Divide both sides by -3.
−3y
−3
>
14
−3
y<
−14
3
The figure created with the rotation is a cone with a height of 3 units, and a radius of 4 units.
<h3>
What type of figure will be created?</h3>
First, we have a triangle whose vertices are: (-3, 0), (0, 0) a (-3, -4).
This is a triangle whose base measures 4 units and its height measures 3 units (if we considerate the base along the y-axis).
Then, if we rotate it around the x-axis, we will get a cone.
<h3>What are the dimensions of the cone?</h3>
The height of the cone should be the same as the height of the original triangle, and the radius of the cone should be equal to the base of the original triangle.
So the dimensions of the cone are:
- height = 3 units.
- radius = 4 units.
If you want to learn more about cones, you can read:
brainly.com/question/6613758
