Answer:
<em>80.7 ft/sec</em>
Step-by-step explanation:
You need two conversion factors:
1 mile = 5280 ft, so (52780 ft)/(1 mile) = 1
1 hour = 3600 seconds, so (1 hour)/(3600 seconds) = 1
55 mi/hour * (5280 ft)/(1 mile) * (1 hour)/(3600 seconds) = 80.6666... ft/sec
Answer: 80.7 ft/sec
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:
1.4
Step-by-step explanation:
This is because the 4 is in the hundreds place but the 0 is in the hundreds in the second one.
(Decimals are backwards from whole numbers.)
<u><em>Note: It seems you may have unintentionally missed to add the complete question statement, but I will make sure to make you understand the concept of angle congruence anyways using which you may be able to clear all your queries regarding the concept.</em></u>
Answer:
When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).
The figure a is also attached below to visualize the concept.
Step-by-step explanation:
When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).
Here are some additional things to observe:
- Angles are congruent as long as the angles are the same
- they don't have to point in the same direction
- they don't have to be made with lines of the same length.
For instance, below is the example. Where,
As the measure of these angles is same. It means the angles Y and B are Congruent. The figure a is also attached below to visualize the concept.
Keywords: congruent angles
Learn more about congruent angles from brainly.com/question/1700207
#learnwithBrainly
Answer:
20%
Step-by-step explanation:
Find the difference of both prices.
150 - 120 = 30
Calculate the ratio of the decrease in price to the original price.
30/150 = 0.2
Multiply the decimal by 100 to get your percentage.
0.2(100) = 20