Step-by-step explanation:
2/5 of marbles are blue
= 3/5 of marble are not blue.
Number of non-blue marbles = 500 * (3/5) = 300.
300 marbles are not blue.
The value of y in the triangle is 2√5
The triangle above is a right angle triangle.
Characteristics of a right angle triangle:
- One of its angle is equals to 90 degrees
- The sides can be found using Pythagoras theorem.
Using Pythagoras theorem
where
c = hypotenuse(longest side)
a and b are the 2 other legs.
Therefore,
6² = 4² + y²
36 = 16 + y²
y² = 36 - 16
y² = 20
y = √20
y = 2√5
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Answer:
Hey! I believe this is your answer:
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Hope this helped!
Step-by-step explanation:
Answer:
The first number lets say is x
the second is y so
y=1/2x+8
x+1/2x+8=58
1 1/2x=50
x= 33 1/3
Hope This Helps!!!
Answer:
a) XY , XVY
b) 248°
c) UV , UY
d) 6√5 = 13.42
Step-by-step explanation:
a) The minor arc is XY
The major arc is XVY
b) ∵ The measure of the minor arc is 112°
∵ The measure of the circle is 360°
∴ The measure of the rest arc = 360 - 112 = 248°
c) UV is the tangent to the circle
UY is the secant to the circle
d) ∵ UV is a tangent to the circle at V
∵ UY is a secant to the circle
∴ (UV)² = (UX) × (UY)
∵ UX = 9 and XY = 11 ⇒ ∴ UY = 11 + 9 = 20
∴ (UV)² = 9 × 20 = 180
∴ UV = √180 = 6√5 = 13.42