9514 1404 393
Answer:
- Josh: 32 mph, 64 mi
- Greg: 64 mph, 320 mi
Step-by-step explanation:
Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...
distance = speed · time
distance = x · 2 = 2x
Then 2x is Greg's rate of travel After 5 hours, his distance is ...
distance = speed · time
distance = (2x) · 5 = 10x
The distance they are apart is ...
10x -2x = 256
8x = 256
x = 32
__
Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.
Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.
<em>__</em>
<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation
No, he can not do it
Step-by-step explanation:
To prove that the the given three sides can form a right triangle:
- Square the three sides
- Add the squares of the smaller two sides
- If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
- If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle
∵ The designer has three partitions that are 14 , 9 and 20 feet
- Square the length of each partition
∵ 9² = 81
∵ 14² = 196
∵ 20² = 400
- Add the squares of the two smaller partitions 9 and 14
∵ 81 + 196 = 277
∵ The square of the largest partition = 400
∵ 277 ≠ 400
∴ The sum of the squares of the two smaller partitions is not
equal to the square of the third partition
- To create the apartment in the shape of a right triangle he must
have three partitions the sum of the squares of the two smaller
partitions is equal to the square of the largest partition
∴ He can not create the apartment in the shape of a right triangle
No, he can not do it
Learn more:
You can learn more about the right triangles in brainly.com/question/4098846
#LearnwithBrainly
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
<h3>How to determine the features of an angle set on Cartesian plane</h3>
Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:
BA = 5, BC = 2
θ = tan⁻¹ (BA / BC)
θ = tan⁻¹ (5 / 2)
θ ≈ 68.199°
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
To learn more on acute angles: brainly.com/question/2761036
#SPJ1
I am assuming that PC is a radius.
d = 2 * PC = 2 * 17 = 34
C = pi * d
C = pi * 34 = 34pi cm
if PC is a diameter, the change the 34 into 17.
