Convert 5 1/2 ro improper fraction so 10/2
3/8 + 10/2
Then convert 10/2 into 40/8 by multiplying bu four so they have the same denominator
3/8 + 40/8 =43/8
Answer:
4/3 per minute.
Step-by-step explanation:
Multiply both 1/4 and 1/3 to get 1 minute. 1/3x4=4/3
Answer:
The variable is usually the unknown part of the whole.
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
<u>Answer:</u>
Bill has bags of candy with five pieces in each. The Bill has 16 bags
<u>Solution:</u>
Given, Dan has bags of candy with two pieces in each.
Bill has bags of candy with five pieces in each.
Bill has six more bags than Dan.
Then, number of bags with bill = 6 + number of bags with dan.
The total number of pieces candy the two boys have 100.
Now, candies with bill + candies with dan = 100
⇒ 5 pieces per bag x number of bags with bill + 2 pieces per bag x number of bags with dan = 100
⇒ 5 x (6 + number of bags with dan) + 2 x number of bags with dan = 100
⇒ 30 + 5 x number of bags with dan + 2 x number of bags with dan = 100
⇒ (5 + 2) x number of bags with dan = 100 – 30
⇒ 7 x number of bags with dan = 70
⇒ Number of bags with dan = 10
So, number of bags with bill = 6 + 10 = 16
Hence, bill has 16 bags.
