Sin J = cos K
sin J = cos (90 - J)
So, K = 90 - J
Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.
Answer:
40
Step-by-step explanation:
area of shaded region = area of whole figure - area of non shaded region
area of whole figure: The whole figure is a rectangle
The area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 10ft and the given length is 8ft
Hence area of whole figure = 10 * 8 = 80ft²
Area of non shaded region: the non shaded region also creates a rectangle
Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 5ft and the given length is 8ft
Hence, area of non shaded region = 5 * 8 = 40ft²
Finally we can find the area of the shaded region.
We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure
If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40
Then, area of shaded region = 80 - 40 = 40ft²
Hello from MrBillDoesMath!
Answer:
5, 10, 0
Discussion:
Let "f" be the first number. Then the questions tells us that
f + 2f + (f-5) = 15 =>
f + 2f + f - 5 = 15 => add 5 to both sides
4f = 5+ 15 = 20 => divide both sides by 4
f = 20/4 = 5
The numbers as
f: 5
2f: 10
(f-5): 0
Thank you,
MrB
Answer:
x = 12
Step-by-step explanation:
their the same length so plug em equal to each other
x+5 = 2x-7
add 7 to both side to get x+12 = 2x
subtract x from both side to get x = 12
Hey there!
Your answer is C.
If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.
12 x 1/4 = 3
4 x 1/4 = 1
So, the legs of our new triangle have lengths of 1 and 3.
We can see that option C has the correct triangle in red.
If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.
The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.
The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.
These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.
Hope this helps!
