Answer:
B = 61.75°
Step-by-step explanation:
The formula for the Law of Sines is given as:
a/ sin A = b/ sin B
In the question, we are given the following values
A = 56°, a = 16, b = 17
We are to solve for B
Hence,
16/ sin 56° = 17/sin B
Cross Multiply
sin B × 16 = sin 56° × 17
sin B = sin 56° × 17/16
sin B = 0.88
B = arc sin(0.88)
B = 61.74536°
Approximately B = 61.75°
Answer:
it's c
Step-by-step explanation:
there are 8 bears and 6 monkeys!
hope this helps:)
Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.
14/50=x/7500
x represents how much trout is in the lake, we don’t know yet, but we’ll find out.
First, cross multiply.
14*7500=105000
50*x=50x
Now let’s turn this into an equation.
50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100
x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
Answer:
The relationship is linear: y -5 = 2 (x+7)
Step-by-step explanation:
While the difference between -7 and -5 / -5 and -3 / -3 and -1 is always 2 teh difference between 5 and 9 / 9 and 13 / 13 and 17 is always 4.
y-5 = -1/2 (x +7)
for x= -7 and y = 5 this is true
for x=-5 and y = 9 this is not true
y + 7 = 1/2 (x-5)
for x= -7 and y = 5 this is not true
y -5 = 2 (x+7)
for x= -7 and y = 5 this is true
for x = -5 and y = 9 this is true
for x = -3 and y = 13 this is true
for x = -1 and y = 17 this is true