Answer:
Find the circumference of a circle with radius, r = 3.5m.
2x3.5xpi = 7pi is answer
Answer:
D Antenna #4
Step-by-step explanation:
As per given graph we can write the function
- the intercept is zero, as x=0, y=0
- at x=2, y=30 ⇒ 30= 2*15
- at x=4, y=60 ⇒ 60= 4*15
The slope is 15, so the function is
And the function for the antenna revolving at twice the rate would be
Comparing data in given tables we can see it is D Antenna #4
- x= 22 ⇒ y= 22*30= 660
- x=24 ⇒ y= 24*30= 720
If you know the slope of a linear relationship as well as one of the points, you can determine if the relationship is proportional if the value of y is equal to the value of the slope times the x value.
<h3>When is a relationship proportional?</h3>
The linear relationship of x and y is said to be proportional if:
y = slope × x
This means that the value of y is directly related to the value of x such that when x is increased by a certain value, you get y.
If this condition is not satisfied then the relationship is not proportional.
The linear relationship above is therefore proportional if the value of y in the point is the same as x when multiplied by the slope.
Find out more on proportional relationships at brainly.com/question/3383226
#SPJ1
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
10.2π
Step-by-step explanation:
Given data
Area of circle= 81 ft^2
Also, the expression for the area of a circle is
A=πr^2
substitute
81=3.142*r^2
r^2= 81/3.142
r^2= 25.77
square both sides
r= √25.77
r= 5.1
Also, the expression for the circumference is
C= 2πr
substitute
C= 2*π*5.1
C= 10.2π
Hence the circumference is 10.2π
