Jacob does the long jump for his track team. On his first jump, he jumped 7
2
3
feet. His second jump was 1
1
3
feet shorter. How far was Jacob's second jump?
A) 5
1
2
feet
B) 6
1
3
feet
C) 6 feet
D) 7
1
3
feet

Jacob's second jump was 6 1/3 feet

Step-by-step explanation:

On his first jump, he jumped 7 2/3

feet. We would convert each mixed fraction to improper fraction

to enable easy addition and subtraction. Converting 7 2/3 feet to improper fraction, it becomes 23/3 feet.

His second jump was 1 1/3 feet shorter. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet.

Therefore, the distance that Jacob covered on his second jump would be

23/3 - 4/3 = 19/3 feet

Converting 19/3 feet back to mixed fraction, it becomes

6 1/3 feet

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).