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Ronch [10]
3 years ago
11

What is the measure of AC?

Mathematics
2 answers:
Orlov [11]3 years ago
7 0

Answer: B. 150^{\circ}

Step-by-step explanation:

From the given picture, we can see a circle with two perpendicularly intersecting chords .

The measure internal angle made by intersecting of chords : 90^{\circ}

The measure of minor arc : 30^{\circ}

The formula to find the internal angle is given by :-

\theta=\dfrac{\text{Minor arc + major arc}}{2}

Let x be the Major arc AC, the we have the following equation:-

90^{\circ}=\dfrac{30^{\circ}\text{ + x}}{2}\\\\\Rightarrow\ 30^{\circ}+x=180^{\circ}\\\\\Rightarrow\ x=180^{\circ}-30^{\circ}\\\\\Rightarrow\ x=150^{\circ}

Hence, the measure of \overarc{AC}=150^{\circ}

deff fn [24]3 years ago
6 0
The answer is:
D.90
I hope I helped
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Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
OlgaM077 [116]

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

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6 0
3 years ago
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For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4
n200080 [17]

Answer:

there are 425 numbers of three digits whose the sum of the digits is even.

Step-by-step explanation:

Option 1:

It is necessary to accomplish one of the next conditions:

(1) all of the digits are even.

(2) exactly 2 of the digits are odd

Then, for the first condition:

4x5x5 = 100 -> this is because the first digit can not be 0.

for the second condition:

(3C1)*5*5*5-1*5*5 =3*125-25=350

where 3C1 is a combination.  The 3C1 determines which of the three digits is even, and it is necessary to subtract the numbers under 100 with the other 2 digits odd.

So, there are 450 numbers of three digits whose the sum of the digits is even.

Option 2:

there are 900 three digit number and 5*5*5 =125 has 3 odd numbers and 5*5*5+4*5*5+4*5*5=325 has 1 odd number, so there are 450 numbers of three digits whose the sum of the digitis is odd, so 900-450 whose the sum of the digits is even.

4 0
3 years ago
How do you work this out?
Ira Lisetskai [31]
I'm guessing you find the length of the hypotenuse using the pythagorean theorem. 

a² + b² = c²     a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!
3 0
3 years ago
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3raise power minus 4​
balandron [24]

Answer:

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Step-by-step explanation:

7 0
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A store is having a clearance sale where merchandise on the sales rack is reduced by 80% from the original price. if a jacket wa
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Now because the price has to be reduced...
76 - 60.8 = $15.2

Hope this will help.
4 0
3 years ago
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