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ZanzabumX [31]
2 years ago
7

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

The measure of the Central Angle indicated is; 45°

<h3>How to find the central angle of a circle?</h3>

The central angle will be the angle subtended at the center by arc FE and arc CB.

Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;

Central Angle = 180° - 135° = 45°

Angle subtended by Arc CD at the center is;

θ = 180 - (81 + 45)

θ = 54°

Read more about Central Angle at; brainly.com/question/17074363

#SPJ1

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Does anyone know the awnser to this? My little brother wanted me to help him but both of us can figure it out​
patriot [66]

Answer: Everybody will need to pay 3.18 dollars. ($3.18)

Step-by-step explanation:

To find out equal amounts of money, you need to divide the total cost by how many people there are. The total cost, in this case, is 12.72, and the amount of people in this problem is 4 people. That means, if everybody were to pay the same amount, you would need to divide 12.72 by 4.

12.72/4=3.18

5 0
3 years ago
Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct resul
Zina [86]
<span>Answer: Let P be the proportion of correct results of all polygraph results H0: P ≥ 0.80 Ha: P < 0.80 Estimated p = 74 / 98 = 0.7551 Variance of proportion = p*(1-p)/n = 0.8(0.2)/98 =0.0016327 S.D. of p is sqrt[0.001633] = 0.0404 z = ( 0.7551 - 0.8 ) / 0.0404 = -1.1112 P-value = P( z < -1.1112) = 0.1335 Since the p-value is greater than 0.05, we do not reject the null hypothesis. Based on the results there is no evidence that polygraph test results should be prohibited as evidence in trials.</span>
5 0
3 years ago
When 3a + 7b &gt; 2b -8b is solve for a the result is
Travka [436]

Answer:

3a+7b>2b-8b

3a>2b-8b-7b

3a>2b-15b

3a>-13b

a>-13b/3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

3 0
3 years ago
1.) What is m∠PTS?<br><br> 2.) What is the value of x?
RoseWind [281]
STR and QTP are both equal 180
so PTS +PTR=180 andQTR+PTR=180 which means
PTS=QTR(for a shorter explanation they are staying against each other in a line cross

11y-110=4y-5
7y=105
y=105:7
y=15 grafe which means
PTS
y*4-5=55 grade
6 0
3 years ago
Read 2 more answers
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