Answer:
It was <u>2.00 p.m.</u> when Clara finished the hike.
Step-by-step explanation:
Given:
Clara hiked to the top of a mountain. She started the hike at 10:30 A.M.
It took 2 hours and 45 minutes to get to the top of the mountain and 45
minutes to hike back down.
Now, to find the time Clara finished the hike.
Clara started hike = 10.30 a.m.
It took 2 hours and 45 minutes to get to the top of the mountain.
So, we add the 2 hours and 45 minutes to 10.30 a.m:
As, 1 hour = 60 minutes.
Now, to add the 45 minutes he took to hike down:
Therefore, it was 2.00 p.m. when Clara finished the hike.
Answer:
(C) $1.12
Step-by-step explanation:
Multiply .75 by 7 to get the total pen cost. Then subtract that from $9.73 to get the total pencil cost, which is $4.48. Then divide by 4 since that is the amount of pencils.
Hope this helps
Answer:
OG = 8.7
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.
The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.
OG² = OH² +GH²
OG² = 6² +6.3² = 75.69
OG = √75.69 = 8.7
The length of OG is 8.7 units.
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<em>Additional comment</em>
You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).
The answer is 11/36
2/12 chance of rolling fours
because there are 2 sides containing a four on both dice combined and 12 sides in total.
Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.
I personally like to imagine a box like this:
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If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.
1/6 * 1/6 = 1/36 chance to roll double of ones
And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:
1/36 * 5 = 5/36
So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:
5/36 + 2/12 =
5/36 + 6/36 =
11/36
Let us break it down. A sum of ten. That is just
+10
Then, we will add that to the quotient (which is the number after dividing) of a number x and 6. We can write that as
+ x/6
The slash means division here. Thus your final answer is
10 + x/6
