Answer:
A) 6.32 in.
B) 71.56°
C) 36.88°
Step-by-step explanation:
To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.
A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:
B) The angle asked is the angle ∠A, then, you have:
∠
°
C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.
By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:
∠
Then:
°
Answer:
A= -18
Step-by-step explanation:
-8-3(-18)= 46= -18
Answer: D!!!!
Step-by-step explanation:
You would find for each size the cost per fluid ounce
1.19/12=0.09917 per fluid oz
1.54/16=0.09625 per fluid oz
2.19/32=0.06844 per fluid oz
4.98/80=0.6225 per fluid oz
The last one, 80 fl oz, costs the least in unit prices
Let's say we wanted to subtract these measurements.
We can do the calculation exactly:
45.367 - 43.43 = 1.937
But let's take the idea that measurements were rounded to that last decimal place.
So 45.367 might be as small as 45.3665 or as large as 45.3675.
Similarly 43.43 might be as small as 43.425 or as large as 43.435.
So our difference may be as large as
45.3675 - 43.425 = 1.9425
or as small as
45.3665 - 43.435 = 1.9315
If we express our answer as 1.937 that means we're saying the true measurement is between 1.9365 and 1.9375. Since we determined our true measurement was between 1.9313 and 1.9425, the measurement with more digits overestimates the accuracy.
The usual rule is to when we add or subtract to express the result to the accuracy our least accurate measurement, here two decimal places.
We get 1.94 so an imputed range between 1.935 and 1.945. Our actual range doesn't exactly line up with this, so we're only approximating the error, but the approximate inaccuracy is maintained.
Answer:
1.72 ≤ t ≤ 1.85
Step-by-step explanation:
Given :
Distance = 100 miles ;
Speed = 56 miles per hour, to the nearest 2 miles per hour
Hence, the speed range is :
(56 - 2) mph ; (56 + 2) mph
Range of possible Time taken, t :
Distance / speed ;
100 / 58 ≤ t ≤ 100 / 54
1.72 ≤ t ≤ 1.85
