The given data is angle ∡RSU and angle ∡UST are complementary and
angle ∡RSU= 8k-1 and angle ∡UST = 7 (k-2)
The sum of the complementary angles is 90°
∡RSU + ∡UST = 90° => 8k-1 + 7 (k-2) = 90 => 8k-1+7k-14=90 => 15k - 15 = 90 => 15k = 90+15 => 15k = 107 => k= 105/15 = 7° then
∡RSU= 8k-1= 8*7-1= 55°
∡UST= 7 (k-2)= 7 (7-2)= 7*5= 35°
The correct answer is ∡RSU= 55° and ∡UST= 35°
Good luck!!!
Answer:
C, 3 1/2, 3 19/20, 3 39/40
Step-by-step explanation:
to make this a bit easier, we can put the mixed numbers into improper fractions:
3 39/40 becomes 159/40
3 19/20 becomes 79/20
3 1/2 becomes 7/2
comparing them to each other, we see they have unlike denominators. we need to get the denominators alike so we can compare them easier
the fractions all have a common denominator of 40, so we need to multiply each fraction by a number that gives us a denominator of 40
159/40 is already fine
79/20 needs to be multiplied by 2 to get a denominator of 40
79/20 x 2 = 158/40
7/2 needs to be multiplied by 20 to get a denominator of 40
7/2 x 20 = 140/40
from least to greatest, we have the following:
140/40, 158/40, 159/40
in their original form this would be:
3 1/2, 3 19/20, 3 39/40
the answer would be C
Answer:
2%
Step-by-step explanation:
Answer:
=39.42857143 miles per hour
Step-by-step explanation:
To find the average speed, we need to the total distance and the total time
Distance 1
45 miles for 2 hours
45*2 = 90 miles
Distance 2
90 minutes * 1 hour/60 minutes = 1.5 hours
32 miles * 1.5 hours =48 miles
The total distance = 90+48 = 138 miles
The total time = 2 +1.5 = 3.5 hour
The average speed = total distance/ total time
= 138/3.5
=39.42857143 miles per hour
Answer:
Step-by-step explanation:
The path covered by the volleyball will be a downward parabola with the vertex being the highest point of the ball.
A general form of a downward parabola is given as:
Where 
is the vertex of the parabola and 'a' is a constant.
Now, let 'h' be the vertical height and 't' be the time taken.
So, the equation would be of the form:
Now, as per question:
h = 2 seconds, k = 13 feet.
Now, taking a = 1. So, the formula that can be used is:
