Let p and m represent the numbers of miles in the plains and mountains, respectively.
.. p + m = 300 . . . . . . . the whole trip was 300 miles
time = distance/speed, so the trip time can be written as
.. p/90 + m/37.5 = 3 48/60
.. 5p + 12m = 1710 . . . . . . . . . . multiply by 450 to put in standard form
You can solve these two equations by any of several means. The variable p can be eliminated by subtracting 5 times the first from the second.
.. (5p +12m) -5(p +m) = 1710 -5*300
.. 7m = 210
.. m = 30
30 miles of the trip was through the mountains.
Answer:
3.25 pounds
Step-by-step explanation:
x + 4 (1/2) + 3 (1/2) = 11
x + 4.25 + 3.5 = 11
x + 7.75 = 11
x = 11 - 7.75
x = 3.25 pounds
Transformation which can be used for mapping of one triangle to another are;
- Only translation
- Rotation then dilation.
What does mapping mean in geometry?
- Any method that is outlined for assigning a specific object from one (or the same) set to each object in another is known as mapping.
- Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped.
We need to map one triangle to another ;
Hence, for mapping of one triangle to another,
The transformation which can be used from the given options are;
- Only translation
- Rotation then dilation
Learn more about mapping
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This question has extraneous info to trick you.
f(x) = g(x)h(x) ⇒ f'(x) = g'(x)h'(x) . Letting x = 10, we get f'(10) = g'(10)h'(10). then just plug in the values provided. g(10) and h(10) are there to throw you off, just use g'(10) and h'(10).
So f'(10), pronounced "eff prime of ten", = 0 * 35 = 0.
If the question were asking for f(10) instead of f'(10) then you would use g(10) and h(10), ⇒-4*560=90.
Answer:
B) x = 7, y = 4
Step-by-step explanation:
you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units
you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4
to find 'x', it is the sum of 3 and 4
