Answer:
21. ΔUYZ <u>Obtuse</u>
22. ΔBCD <u>Right or Rectangle</u>
23. ΔADB <u>Acute</u>
24. ΔUXZ <u>Acute</u>
25. ΔUWZ <u>Right or Rectangle</u>
26. ΔUXY <u>Equiangular and acute</u>
Step-by-step explanation:
We need to classify each triangle by its angles.
Acute: They have 3 acute angles (less than 90 degrees).
Rectangle: The inner angle A is straight (90 degrees) and the other 2 angles are sharp. The sides that form the right angle are called legs (c and b), the other side hypotenuse.
Obtuse: The inner angle A is obtuse (more than 90 degrees). The other 2 angles are acute.
ΔUYZ Obtuse The inner angle Y is obtuse (more than 90°).
ΔBCD Right or Rectangle The inner angle C is straight (90°).
ΔADB Acute It has 3 acute angles (less than 90°).
ΔUXZ Acute It has 3 acute angles (less than 90°).
ΔUWZ Right or Rectangle The inner angle W is straight (90°).
ΔUXY Equiangular and acute Which means all the inner angles are equal (60°).
Answer:
36 tiles
Step-by-step explanation:
First, find area of the square floor knowing the formula as;
Area= 
where s= side of a square.
If one side of the floor is 12 feet, then Area= 
Next, find the area of each tile using the same formula and given s=2 feet;
Area(tile) = 
To find the number of tiles needed to cover entire floor, divide area of the floor by area of one tile; 144 / 4 = 36 tiles
Answer:
9) y = -3x - 4
10) y = -1/3x + 14/3
11) y = x - 1
12) y = -7/5x - 18/5
13) y = 3/5x + 9/5
14) y = -2x - 3
Step-by-step explanation:
For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!
Answer:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100
Answer:
A (100)
Step-by-step explanation:
If 2 hours pass starting at 23:35 today, then tomorrow the time will be 1:35. The difference between 1:35 and 1:15 is 20 (minutes) Because there are 120 minutes in 2 hours (60 minutes per hour), This means we do 120 minutes minus 20 minutes. This gives us an answer is A, 100 :)
