the correct answer is c 78
Step-by-step explanation:
lit can't be a because to small and can't be b because also to small. and and 92 is uptus and this is an acute angle
Cosecant = hypotenuse / opposite side ( that is 1 / sine)
csc C = AC / 8
AC = sqrt (6^2 + 8^2) = sqrt 100 = 10
so cosecant of C is 10/8 = 1.25
Answer:
g(6) = 71
f(11) = 62
Step-by-step explanation:
Let's solve g(6) first
Plug 6 into x
g(6) = 2(6)^2 - 1
g(6) = 2(36) - 1
g(6) = 72 - 1
g(6) = 71
Now let's solve f(11)
f(11) = 5(11) + 7
f(11) = 55 + 7
f(11) = 62
<em>Thus, out answers are 71 and 62 respectively</em>
Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem = 
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b = 
b = 
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.
The letter A represents the smallest value in the data collection, which would be 17