Answer:
A. No, because the preimage are not congruent.
Step-by-step explanation:
If you look, the preimage and the image are not the same size. That means I dilation occurred.
If they were to be congruent, there would have been a rotation, reflection, or translation.
A. No, because the preimage are not congruent.
Answer:
<h2> 2.32dollar/mile</h2>
Step-by-step explanation:
step one:
Given the function
y = 14 +2.31x + 4.50
we can solve for the rate of change by applying differentiation.
step two:
differentiating y which is cost with respect to x which is the miles
dy/dx= 0+2.32+0
dy/dx=2.32
Hence the rate of change of cost in the dollar to a mile is
2.32dollar/mile
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
Hope this helps :)