Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
175
Step-by-step explanation:
The circle has to = 360 degrees. 360-10=350
350/2=175
The x is halfway that's why you divide by 2.
Answer:
a) nearest jump is JL = 1380 inches = 115ft
b) number of jumps in 1 mile N= 46 jumps
Step-by-step explanation:
Given that the jump length is proportional to the body length.
If 2 inch grasshopper can jump 40 inches.
JL = k(BL)
k = JL/BL
where JL = jump length = 40 inches
BL = Body length = 2 inches.
k = 40/2 = 20
The constant of proportionality is 20.
For the athlete :
BL = 5ft 9 inches = 5(12)+9 = 69 inches.
The jump length of the athlete is:
JL = k(BL) = 20(69)
JL = 1380 inches. = 115ft
The number of jumps in 1 mile is
1 mile = 63360 inches
N = 63360/1380
N = 45.9 = 46
N= 46
Therefore, 46 jumps would be needed.
Answer:
a. converges to s> 1.
b. converges to s> 5.
c. converges to s> - 3.
d. converges to s> 0.
e. converges even s> 0.
f. converges to s> 0.
g. converges to s> 0.
h. converges to s> 0.
Step-by-step explanation:
a. converges to s> 1.
b. converges to s> 5.
c. converges to s> - 3.
d. converges to s> 0.
e. converges even s> 0.
f. converges to s> 0.
g. converges to s> 0.
h. converges to s> 0.
The answer to which is bigger is -5 because it is closer to zero