Answers:
Scale Factor = 3/4
This is a <u>reduction</u>
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Explanation:
Let's focus on the point R(4,4). That's the preimage point for the image of R ' (3,3).
Let k be the scale factor. We multiply this value of k by the x,y coordinates of point R to jump to R '
we have x = 4 jump to 4k which is the x coordinate of point R'
So we set 4k equal to 3 and solve for k to get k = 3/4. The scale factor is 3/4 or 0.75
We have a reduction since the image triangle T'R'S' is smaller compared to the preimage triangle TRS. We can see that we have a reduction by looking at the scale factor. If 0 < k < 1, then we have a reduction. If k > 1, then we have an enlargement instead. So we go with the first option since 0 < 3/4 < 1 or you could say 0 < 0.75 < 1.
Answer:
V= 64 ft^3
Step-by-step explanation:
The volume of a pyramide is given by the formula
V = 1/3 l*w*h
Given the l = 8 w = 4 and h = 6
V = 1/3 ( 8*4*6)
V = 1/3 ( 192)
V= 64 ft^3
Since its a right triangle, you can use a² + b² = c²
one of the legs is a and the other leg is b it doesn't matter which one because its addition and works the same way c needs to be the hypotenuse
so its a² + 48² = 50²
a² + 2304 = 2500
- 2304 -2304
a² = 196
√a² = √196
a = 14
Answer:
y=0.3x - 7.6
Step-by-step explanation:
line: y=ax+b
a= Δy ÷ Δx
a= (-9 + 7) ÷ (-5 - 2)
a= -2 ÷ -7 = approximately 0.3
y=0.3x + b
Now you can fill in one of the points to find b (or both to make sure you got the answer right).
0.3 × 2 + b = -7
0.6 + b = -7
b = -7 - 0.6 = approximately -7.6
So: an equation of the line that passes through this pair of points is y=0.3x - 7.6
On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.
The answer to this problem is 11340
Multiply 54,000 by 7% (7/100) by 3
remember i=prt ( interest= principal, rate, time