Answer:
16 ft
Step-by-step explanation:
We start by converting 1yd to ft,
1yd = 3ft
So in the smaller triangle, we have 3ft, 4.5ft. Using Sine, Cos, and Tan rule. We know that
TanΦ = opposite / adjacent
TanΦ = 3ft / 4.5ft
TanΦ = 0.667
Φ = Tan^-1 0.6
Φ = 33.69
This means that the angle of elevation is 33.69°
Using this angle, and the same tan rule again, we gave
Tan 33.69 = opp/24
0.667 = opp/24
opp = 24 * 0.667
opp = 16 ft
We are given two relations
(a)
Relation (R)
![R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]](https://tex.z-dn.net/?f=R%3D%5B%28%28k-8.3%2B2.4k%29%2C-5%29%2C%28-%5Cfrac%7B3%7D%7B4%7Dk%2C4%29%5D)
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k







............Answer
(b)
S = {(2−|k+1| , 4), (−6, 7)}
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k




Since, this is absolute function
so, we can break it into two parts


we get




so,
...............Answer
Answer:
See below.
Step-by-step explanation:
Unit rate = 78 / 3/4
= 78 * 4/3
= 26*4 (because 78 / 3 = 26)
= 104 calories per cup
There are 2 * 104 = 208 calories in 2 cuos of cereal..
Step-by-step explanation:
Given,

and

Substitute x = 2 into expression.

Answer:
the -3 is being distributed. --> the 5 stays outside till the end. multiply the 3 inside first, then the negative. and then add the 5 to the final answer
5-3(d+21) = -->> 5-(3d+21)=--->>>5-3d-21=3d-16
Step-by-step explanation:
5-3(d+21) =
5-(3d+21)=
5-3d-21=
ans=3d-16