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neonofarm [45]
3 years ago
10

An angle in standard position measures 5pie/8 radians.

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

Step-by-step explanation:

It's easier to convert the angle into degrees.

5π/8 ≅ 112.5°, which is in quadrant II

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PLEASE HELP WILL GIVE BRAINLIEST!
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6 0
2 years ago
Julie has 5 cherry lollipops,1 lime lollipops, and 2 grape lollipops in a bag. She is going to select one lollipop, replace the
Georgia [21]

Answer: \dfrac{15}{32}

Step-by-step explanation:

Given : The number of cherry lollipop = 5

The total number of lollipop = 8

the number of lollipops other than grape =6

The probability of selecting a cherry lollipop is given by :_

\text{P(Cherry)}=\dfrac{5}{8}

The probability of selecting a lollipop other than grape is given by :_

\text{P(Other than grape)}=\dfrac{6}{8}

Since, there is replacement , then the events are independent of each other.

Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

\text{P(Cherry and other than grape)}=\dfrac{5}{8}\times\dfrac{6}{8}=\dfrac{15}{32}

Hence, the required probability =\dfrac{15}{32}

3 0
3 years ago
In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the
slamgirl [31]

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle  in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle  PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

7 0
3 years ago
A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of gasoline to the tank. How many gallons of gas does
krek1111 [17]

Answer:

35 1/12 gallons of gasoline

Step-by-step explanation:

so what you're going to do is take both of the fractions (3/4 and 1/3) and convert them into two fractions with the same denominator so you can add them easily. the closest number that you can convert them to would be a denominator of 12, so we would turn 3/4 into its equivalent of 9/12 and 1/3 would now be 4/12. now we add them and get 13/12, which is an improper fraction, so we would change that to 1 and 1/12. and finally, we add 1 1/12 + 1 + 33 and we would get 35 and 1/12 as our final answer :)

6 0
3 years ago
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