What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
2 answers:
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The answer is 9(3+x)
My work is in the attached image
My work is in the attached image
Answer:
.894
Step-by-step explanation:
First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is
Filling that in with numbers we have
and
64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.
and
so
c=√80 which simplifies to 4√5. That means that the sin ratio for x is
which divides out to .894
Answer:
Step-by-step explanation:
From the given table,
To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,
Since, 2 cups of blue paint are mixed with 10 cups of yellow paint
Therefore, ratio in which these shades have been added =
=
=
= 5 : 1
For 1 cup of blue paint number of cups of yellow paint required,
x = 5 cups
For 3 cup of blue paint number of cups of yellow paint required,
x = 15 cups
Cups of blue paint Cups of yellow paint
2 10
1 5
3 15