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tankabanditka [31]
3 years ago
14

Hello i need help with question 5 asap!!

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

  arc DB length = 14π feet

Step-by-step explanation:

Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:

  arc DB = 140° = 140°(π/180°) radians

__

Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...

  s = rθ

where r represents the radius and θ is the measure of the arc in radians.

The arc length is ...

  s = (18 ft)(7π/9) = 14π ft

Arc DB has a length of 14π feet.

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3(x−0.2)=1.8+x find x
bonufazy [111]

Answer:

x=6/5

Step-by-step explanation:

8 0
3 years ago
Amira and Mandisa sell balloon animals at different stands on the boardwalk. They each use a constant number of balloons per ani
MAXImum [283]

Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the number of balloons for x animals.

Amira uses 4 balloons for each animal.

For Mandisa, using the table using (20, 225) and (60, 25):

slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{25-225}{60-20}=-5

Therefore Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

Find out more on linear equation at: brainly.com/question/14323743

6 0
1 year ago
Solve for t.
STALIN [3.7K]

Step-by-step explanation:

12gt^2=19\qquad\text{divide both sides by}\ 12g\\\\t^2=\dfrac{19}{12g}\to t=\sqrt{\dfrac{19}{12g}}

8 0
2 years ago
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?
Artyom0805 [142]

Answer:

y=\frac{1}{6} (x-4)-\frac{9}{2}

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}

∴ y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}

∴ y=\frac{1}{6} (x-4)-\frac{9}{2}

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0
3 years ago
Find each function value f(-4) if f(x) = -5x - 3
Firlakuza [10]

Answer: f(-4) = 17

Step-by-step explanation: Substitute (-4) for x.

  • f(-4) = -5(-4) - 3
  • f(-4) = 20 - 3
  • f(-4) = 17
4 0
2 years ago
Read 2 more answers
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