Sin 39 = 8.9 / RT
RT = 8.9 / sin 39 = 14.14
cos 54 = RS / 14.14
RS = 14.14 * cos 54 = 8.3 cm Answer
Answer:
3. 7/12.
4. 7/5.
5. 1.
Step-by-step explanation:
The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:
Slope = Δy /Δx
Δy = y2 – y1
Δx = x2 – x1
With the above formula in mind, let us answer the questions given above.
3. Point => (–8, –2) (4, 5)
x1 = –8
x2 = 4
Δx = x2 – x1
Δx = 4 – –8
Δx = 4 + 8
Δx = 12
y1 = –2
y2 = 5
Δy = y2 – y1
Δy = 5 – – 2
Δy = 5 + 2
Δy = 7
Slope = Δy /Δx
Slope = 7/12
4. Point => (3, –5) (8, 2)
x1 = 3
x2 = 8
Δx = 8 – 3
Δx = 5
y1 = –5
y2 = 2
Δy = y2 – y1
Δy = 2 – – 5
Δy = 2 + 5
Δy = 7
Slope = Δy /Δx
Slope = 7/5
5. Point => (–4, –5) (4, 3)
x1 = –4
x2 = 4
Δx = x2 – x1
Δx = 4 – –4
Δx = 4 + 4
Δx = 8
y1 = –5
y2 = 3
Δy = y2 – y1
Δy = 3 – – 5
Δy = 3 + 5
Δy = 8
Slope = Δy /Δx
Slope = 8/8
Slope = 1
Evaluate 2^3+5x(6+4)÷2 following Order of Operations rules (PEMDAS):
Work within parentheses is done first, followed by exponentiation, and then mult. and div., and finally add'n. and subtr'n.
Thus, 2^3+5x(6+4)÷2 becomes 2^3+5x(10)÷2
8 + 50x/2
8 + 25x
Answer:
1st Graph
Step-by-step explanation:
Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.
Hello :
an equation is : y-5 = 0(x-3)....<span> perpendicular to the line x=4 ( parrallel to x-axis)
so ;
</span>y=5