It's already in simplest form
Answer:
missing side length is 12
Step-by-step explanation:
similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).
so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.
we see, when we go from small to large, that we have the ratio 32/40 = 4/5.
so, multiplying the larger side by this, we get the shorter side.
15 × 4/5 = 3 × 4 = 12
the proportion part in your picture is a bit confusing :
yes,
x/15 = 32/40 = 32/40
I don't know, why this last expression was repeated.
x/15 = 32/40
x = 15×32/40 = 15×4/5 = 3×4 = 12
as you see we get of course the same result doing it that way.
Answer:
Area of resulting triangle will be 900
.
Step-by-step explanation:
When sides of any polygon if scaled by a factor of k
then area is scaled by
According to the above statement
therefore here in the question since area of original triangle was 36
and both base and height are scaled by a factor of 5.
therefore area of scaled triangle will be
times of the original
that is 25 x 36 which gives 900 
So area of resulting triangle will be 900 
Answer:$18.75
Step-by-step explanation: first multiply 8 times 1.25 then multiply 5 times 1.75 then add both of your numbers and put the decimal point back
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5