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oksano4ka [1.4K]
3 years ago
7

Express answer in exact form.

Mathematics
2 answers:
zepelin [54]3 years ago
7 0
I'm guessing that you want to find the segment area of a circle that has a radius AO = 8" and a chord AB with a length of 8".

Sine angle AOD = AE / OA
Sine angle AOD = 4 / 8
Sine angle AOD = .5
arc sine (.5) = 30 degrees
So, angle AOB = 60 degrees

Circle Area = PI * radius^2
Circle Area = <span> <span> <span> 201.06</span></span></span>
Sector Area = (60/360) * 201.06
Sector Area = 33.51

Line OE^2 =  AO^2 -AE^2
Line OE^2 =  64 -16
Line OE = <span> <span> <span> 6.9282032303 </span> </span> </span>

Triangle AOB Area = OE*AE = <span> <span> <span> 6.9282032303 * 4
</span></span></span>Triangle AOB Area =  <span> <span> <span> 27.7128129211 </span> </span> </span>

Segment Area = Sector Area -Triangle AOB Area
Segment Area = 33.51 -<span>27.71
</span>Segment Area = 5.80

Sedaia [141]3 years ago
6 0

A=(64/6  pie  18~3) inches 2

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Round down this calculation to Ofe ucci piacer ). Order: Uniphyl (theophylline) 5 mg/kg po loading dose stat. The strength of th
Marta_Voda [28]

Answer:

1 tablet

Step-by-step explanation:

Data provided in the question:

The dose of the Uniphyl = 5 mg/kg

Strength of the Uniphyl = 400 mg per tablet

Weight of the patient = 76 kg

Now,

The recommended dose for the patient            

= Dose of the Uniphyl × weight of the patient

= 5 mg/kg × 76 kg

= 380 mg

Therefore,

The number of tablets to be administered to the patient

= \frac{\textup{Recommended dose for the patient}}{\textup{Strength of the Uniphyl}}

= \frac{\textup{380}}{\textup{400}}

= 0.95 ≈ 1 tablet

Hence,

The number of tablets to be administered to the patient is 1

7 0
3 years ago
Suppose the inside bottom of a box is painted with three colors: one-third of the bottom area is blue, one-sixth is red, and one
miss Akunina [59]

Answer:

The probability that the pebble will NOT land on color blue is 0.67.

Step-by-step explanation:

We attribute the box area as the probability of the events.

So the probability of landing in the Red Area is 1/6, the probability of landing in the Blue Area is 1/3 and the probability of landing in the Yellow Area is 1/2.

P(Red)=\frac{1}{6}

P(Yellow)=\frac{1}{2}

P(Blue)=\frac{1}{3}

The probability of landing in NOT Blue area is given by:

P(Not Blue)=1-P(Blue)=1-\frac{1}{3}=\frac{2}{3} =0.67

8 0
3 years ago
Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr
jenyasd209 [6]

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

3 0
3 years ago
Find the midpoint of points A(-8,1) and B(-3,7) graphically.
Sedaia [141]
The 'x' coordinate of the midpoint is the average of the 'x'


5 0
3 years ago
What is the slope for (-6,4) and (2,12)
Romashka-Z-Leto [24]

Answer:

1

Step-by-step explanation:

(-6,4) and (2,12)

slope = m = (y2 - y1) / (x2 - x1)

= 12 - 4 / 2 - (-6)

= 8/8

= 1

5 0
3 years ago
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