Answer:115.4685yd^3
Step-by-step explanation:
Volume of cone=1/3πr2h
V=1/3×3.142×3.5yd×3.5yd×9yd
V=115.4685yd^3
Answer:
Slope=-2/3, y-intercept=2, x-intercept=3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 2 units for every 3 units the independent variable increases."
When x increases by 3, y decreases by 2
So the slope = rate of change of y / rate of change of x = -2/3
Given h(0)=2, h(0)=m(0)+c=2
c=2
Combining slope and y-intercept, y=-2/3*x+2
x-intercept is when y=0
0=-2/3*x+2
2/3*x=2
x=2*3/2=3
x-intercept=3
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<em>BRAINLIEST</em>
The statement above is false.
If the diagonals of a parallelogram form right angles, then the parallelogram is a rhombus (a rhombus is a quadrilateral with four equal side lengths).
Note* = by saying the statement is false is not saying that the scenario presented in the statement cannot occur. If the rectangle was a square, then its diagonals can form right angles since a square is also a rhombus. However, if a rectangle was NOT a square, its diagonals would not form right angles. A true statement is a statement where ALL cases fit the said requirement(s).
The statement can also be corrected by saying:
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
All rectangles (even a square) have congruent diagonals, so this statement would be true.
Hope this helps!
The linear function of the table of values is y = -1.5x + 25
<h3>How to plot the ordered pairs?</h3>
The table of values is given as:
<u>Sequence One Sequence Two Ordered Pair </u>
6 16 (6, 16)
8 13 (8, 13)
10 10 (10, 10)
12 7 (12, 7)
14 4 (14, 4)
From the above table of values, we can see that:
- As x constantly increases by 2 i.e. +1
- y constantly decreases by 3 i.e. -3
This means that the table represents a linear function, and the slope of the function is
m = -3/+2
This gives
m = -1.5
A linear function is represented as:
y = mx + c
This gives
y = -1.5x + c
Using the table of values, we have
16 = -1.5 * 6 + c
Evaluate the product
16 = -9 + c
Add 9 to both sides
c = 25
Substitute c = 25 in y = -1.5x + c
y = -1.5x + 25
Hence, the linear function of the table of values is y = -1.5x + 25
See attachment for the graph of the table
Read more about linear functions at:
brainly.com/question/4025726
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