Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
The answer is 6 appointments are cancelled each day
Answer:
Either <em><u>10 times</u></em> or <u><em>598,000.</em></u>
Step-by-step explanation:
6 x 10 ^ 5 = 600,000
2 x 10 ^ 3 = 2,000
If we are figuring out the exact number, 600,000 - 2,000. If we are finding out how many powers larger, count.
600,000 - 2,000 = 598,000
600,000 is 10 times larger than 2,000.
See?
600,0<u>00</u>
2,000
Answer:
y=1/4x-3/4
Step-by-step explanation:
y=mx+b
m=1/4
b=-3/4
Answer:
49 tickets
Step-by-step explanation:
THis is pretty straight forward
So we have the ratio 4:7
We know there were 88 tickets in total but we don’t know the exact amount of adult and kids
So we can Add up the ratio
4+7=11
Now we can divide 88 by 11
you’ll get 7
So by doing this we know there are 7 groups of the ratio for child to adults 4:7
So we just multiply the 7 to each
4*7
7*7
you’ll get 28:49
Now we know there are 28 kid tickets and 49 adult tickets
We know this is correct becuase if you add up the ratio, it’ll be 88
Which is the same as the amount fo people at the hockey game
