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OlgaM077 [116]
3 years ago
15

identify all of the central angles. please help me asap. i have to have this done soon! :( thann you so much!​

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Central angles are angles at the centre of the circle subtended by 2 radii

Angles that meet this criteria are

∠AOB, ∠BOC, ∠AOC

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The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many secon
nlexa [21]

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

H(t)=-16t^2+75t+25 ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s

Put t = 2.34 s in equation (1).

H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m

Hence, this is the required solution.

8 0
3 years ago
If the circumference is 31.4, what are the radius and the area?
jekas [21]

Answer:

radius = 5 units

area of a circle = 15.7units²

Step-by-step explanation:

given that the circumference of a circle = 31.4

radius = ?

recall that the formulae for finding the circumference of a circle  =  2πr

circumference of a circle  = 2 x 3.14 x r

31. 4 = 6.28r

divide both sides by the coefficient of r which is 6.28

31.4/6.28 = 6.28r/6.28

5 = r

radius = 5 units

therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units

to find the area of the circle

recall the formula = πr²

area of a circle = 3.14 x 5²

area of a circle = 3.14 x 25

area of a circle = 15.7units²

7 0
3 years ago
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CaHeK987 [17]
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3 years ago
Find the area of the shaded region.
Iteru [2.4K]
Keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.

\bf \stackrel{\textit{area of the larger rectangle}}{(2x+2)(3x-4)}~~-~~\stackrel{\textit{area of the smaller rectangle}}{(x-3)(x-6)}
\\\\\\
\stackrel{FOIL}{6x^2-2x-8}~~~~-\stackrel{FOIL}{(x^2-9x+18)}\implies 6x^2-2x-8-x^2+9x-18
\\\\\\
5x^2+7x-26
4 0
3 years ago
Dale made a scale drawing of a house and its lot. The scale he used was 1 inch: 7 feet. The actual length of the backyard is 35
Kipish [7]

Answer:

5

Step-by-step explanation:

<em>35/7=5 </em>

8 0
3 years ago
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