Answer:
18; 1h30m; 15
Step-by-step explanation:
<u>Part A:</u>
James traveled 45km, you can tell because that is where he stops.
It took him from 2pm to 4:30pm.
You can find this info on the x axis.
That means 45km took him 2.5 hours.
45/2.5=18
James travels 18km per hour.
<u>Part B:</u>
The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.
His stop is from 4:30pm to 5pm.
This means that his stop is 1 hour and 30 minutes.
<u>Part C:</u>
James had to travel 45km to get back home. (45-0)
It took him from 5pm to 8pm.
This means that on his journey back, 45km took him 3 hours.
45/3=15
James travels 15km per hour.
The total mass of the living things on the farm is 588 kg.
<h2><u>Mass calculation</u></h2>
Since on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :
- (6.2 x 10) + (4 x 10 x 10) + (2 x 6 x 10) + (3 x 2 x 1) = X
- 62 + 400 + 120 + 6 = X
- 588 = X
Therefore, the total mass of the living things on the farm is 588 kg.
Learn more about mass calculation in brainly.com/question/14695611
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
Answer:
5,028
Step-by-step explanation:
Answer:
1. C. Yes, because a sum of cubes can be factored
2a. false
2b. false
2c. true
2d. false (based on what is written in the equation; refer to step-by-step)
Step-by-step explanation:
1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)
2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2
2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)
2c. You can factor using the perfect square rule, making it (a+b)^2
2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)
