Answer:
52
Step-by-step explanation:
6+7=13
6:7=13
x:28
28/7=4
so you have to multiply by 4
4x6=24
24 boys and 28 girls
24+28=52
The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer: Samira paid $8540 for her car.
Step-by-step explanation:
Let x = Amount paid by Samira for her car.
Given: Depreciation rate = 23%
Worth of car after one year = $ 6575.80
As per given,
x - 23 % of x = 6575.80
⇒ x - 0.23x = 6575.80
⇒ 0.77x= 6575.80
⇒ x= $8540 [Divide both sides by 0.77]
Hence, Samira paid $8540 for her car.
Answer: 8 centimeters
Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².
To solve for <em>r</em>, we first divide both sides of the equation by π.
On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².
So we have 64 = r².
Next, we take the square root of both sides to get 8 = r.
So the radius of our circle is 8 centimeters.
