How to solve:
Step 1 : Note down the given ratio from the questions.
Step 2 : <span>Find the greatest common factor, and divide the numerator and denominator by that value.
Answer: 3:7</span>
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Answer:
The remainder is 4.
Step-by-step explanation:
Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:
When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?
The explanation of the answer is now given as follows:
Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.
Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.
Therefore, we have:
Sum of the possible values of k = 7 + 14 = 21
Also, we have:
Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.
Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.
Answer: -8/11 or -.72727...
Answer:
slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph
Step-by-step explanation:
lets consider the Speed of the slow hiker =x
Then Speed of fast hiker =x+4.4
As we know that distance is the product of speed and time
therefore,
Distance covered by slow hiker in 5 hours = 5x km
Distance covered by fast hiker in 5 hours=5 (x+4.4)=5x+22 km
As they are are 33 miles apart , therefore
5x + 5x+22 = 33
10x = 33-22
10x = 11
x =11/10 => 1.1
Rate of slow hiker is x i.e 1.1mph
Rate of fast hiker = x+4.4 => 5.5 mph
