Equation=2a+3b=$14
=4a+5b=$24
Multiply the first equation by 4 and the second by 2 to get the value of b....
8a+12b=56 -
8a+10b=48
2b=8
b=$4
If the price of an orange is $4 we can now find the price of an apple by
.................2a+(3*$4)=$14
............2a+12=14........2a=2
a=1
So the cost of an apple is $1 and that of an orange is $4
......Hope it helps you
Answer:
Step-by-step explanation:
using sine formula
let ∠ADB=y
then ∠CDB=180-y
∠DAB =180-(35+y)

Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3
The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.
For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well
--------------------------------
Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2
Answer:
b. 5tan(25°)
Step-by-step explanation:
The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...
tan(25°) = ?/5
Multiplying by 5 solves the equation:
? = 5·tan(25°)