Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
Answer:
B (1 , 3) , D (1 , -2)
Step-by-step explanation:
∵ A (-3 , 3) , C (-3 , -2)
∵ They have the same x-coordinate
∴ AC is a vertical segment its length = 3 - -2 = 5
∵ The area of the rectangle = 20
∴ The width of it = 20 ÷ 5 = 4
∴ x-coordinate of B: -3 + 4 = 1
∴ y-coordinate of B : 3 ⇒ AB horizontal segment
∴ B (1 , 3)
∵ x-coordinate of BD is 1 ⇒ BD is vertical segment
∵ y-coordinate = 3 - 5 = -2
∴ D (1 , -2)
Given that the first spinner has three equal sectors labelled 1, 2 and 3; and the second spinner has equal sectors labelled 3, 4, 5 and 6.
The number of possible outcomes that do not show a 1 on the first spinner is 2 (i.e. the first spinner shows 2 or 3).
The number of possible outcomes that the second spinner show the number 4 is 1 (i.e. the second spinner shows 4)
In probability, the word 'and' goes with multiplication.
Therefore, <span>the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner</span> is given by 2 x 1 = 2 possible outcomes.
i.e. the first spinner shows the number 2 and the second spinner shows the number 4 or the first spinner shows the number 3 and the second spinner shows the number 4.
Answer:
The conditions for carrying out a significance test are:
1. It must be a Random sampling
2. It should be a Normal distribution
3. It should be Independent
Step-by-step explanation:
SRS means simple random sample; it is a sampling technique in which individuals can be chosen from the population in such a way that every individual stands an equal chance to be selected as the sample.
The conditions needed or required to carry out a significance test of the teacher's suspicion are:
1. It must be a Random sampling
2. It should be a Normal distribution
3. It should be Independent
All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population
