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Morgarella [4.7K]
3 years ago
9

How do you find the area of the sector of the circle with a radius of 4in and a central angle θ of pi/3? Please explain procedur

e.
Mathematics
1 answer:
Lena [83]3 years ago
6 0

It is generally useful to use the formula. The procedure is to substitute the given values for the variables in the formula, then do the arithmetic.

... A = (1/2)r²·θ . . . . r is the radius, θ is the central angle in radians

Put the numbers in ...

... A = (1/2)(4 in)²·(π/3)

... A = 8π/3 in² ≈ 8.37758 in²

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If a number is right next to a variable,
valina [46]
I think multiplication but I’m not sure sorry
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3 years ago
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PLEASE HELP!!
Ratling [72]

All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).

These probabilities are computed as 1 over all the possible outcomes.

(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

\dfrac{1}{52}\approx 0.019 = 1.9\%

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

\dfrac{8}{52}=\dfrac{2}{13}\approx 0.154 = 15.4\%

(c) You have two "good" outcomes out of 5, so your probability is 2/5.

\dfrac{2}{5}=0.4=40\%

3 0
3 years ago
A shadow 60 meters long is cast by a stone tower that is 32 meters tall. If a cedar tree close
hjlf

Answer:

107

Step-by-step explanation:

you will add 60 + 32 +15 = 107 that is how i got the answer

6 0
3 years ago
Mr. Chambliss is planning to build a shed with a rectangular floor. In his original
deff fn [24]
C. By three feet 7x5=35 area 7x10=70 area 7+3=10
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3 years ago
Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
kipiarov [429]

Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

10/22 = x/350

Cross multiplying, we would have 10(350) = 22(x).

6 0
3 years ago
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