Answer:
77°
Step-by-step explanation:
Angles B and C are adjacent angles of a parallelogram, so are supplementary.
... ∠C = 180° -∠B = 180° -103° = 77°
9x + 8y = 3
8y = -9x + 3
y = -9/8x + 3/8...slope here is -9/8. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the perpendicular slope is 8/9 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = 8/9
(8,-7)....x = 8 and y = -7
now we sub and find b, the y int
-7 = 8/9(8) + b
-7 = 64/9 + b
-7 - 64/9 = b
-63/9 - 64/9 = b
-127/9 = b
so ur equation is : y = 8/9x - 127/9
Answer:
Hanna
Step-by-step explanation:
In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,
<u>Speed of Hanna</u> = 50mph (as given in ur question)
<u>Speed of </u><u>Thomas</u>
Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,
Distance traveled = 12miles
Time taken = 15minutes
Speed = 12miles/15mim
Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4
that is 15 times 4 is 60. But to make the ratio equal
we have to multiply the distance too by 4.
= 12*4/15*4
=48 miles/60minutes
=48miles/1hour
=48mph
<u>Comparing both </u><u>speeds</u>
Speed of Hanna compared to Speed of Thomas,
50mph > 48mph
Hence, Hanna has the faster speed.
To compute how many groups of elements we can extract out of a group of elements, we can use the binomial coefficient:
where the factorial is defined as
So, this is the number of possible quintuplet out of 50 numbers:
Similarly, this is the number of possible groups of six numbers out of 60:
So, you win with a combination out of 2118760 in state A, and with a combination every 50063860 in state B this means that winning in state A is easier with a ratio of
Whichi means that winning in state B is 23 times harder
Answer:
11
Step-by-step explanation: