Answer:
The height of the tree = 25 feet
Step-by-step explanation:
From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet
∠AFE = 90° and ∠ACB = 90°
To find : CB, the height of the tree.
Solution : In ΔAEF and ΔAB C
∠AFE = ∠ACB = 90°
∠A is common angle.
So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC
Now, sides of similar triangles are proportional to each other
Hence, The height of the tree = 25 feet
Answer:
Which of the following is a common sign that a chemical change has occurred?
Step-by-step explanation:
Question 1: Option D
Area of the parallelogram = 132 cm²
Question 2: Option B
Area of the parallelogram = 3.60 ft²
Solution:
Question 1:
Base of the parallelogram = 6 + 5 = 11 cm
Height of the parallelogram = 12 cm
Area of the parallelogram = Base × Height
= 11 × 12
Area of the parallelogram = 132 cm²
Option D is the correct answer.
Question 2:
Base of the parallelogram = 1.9 + 0.5 = 2.4 ft
Height of the parallelogram = 1.5 ft
Area of the parallelogram = Base × Height
= 2.4 × 1.5
Area of the parallelogram = 3.60 ft²
Option B is the correct answer.
For question 7, if we add all votes for tiger and eagle, we get
tiger = 14 + 13 + 8 + 5 = 40
eagle = 6 + 7 + 12 + 15 = 40
so choices A and B are wrong.
C is also wrong because fifth and sixth grade votes for eagle are 6 + 7 = 13 and the 5th and 6th grade votes for tiger are 14 + 13 = 27. clearly 5th + 6th like tiger more.
D is the answer for question 7
question 8
rolling a cube does not affect the other cube so it is all independent probability.
cube: 1 2 3 4 5 6
3 even numbers and 3 odd numbers
so probability of rolling an even number is
1/6 + 1/6 + 1/6 = 3/6 = 1/2
multiplying by total number of rolls, she will get even numberss
300 * 1/2 = 150
about 150 time.
so half of the time, Cassie will roll and even number about half the number of rolls. never exactly since this is all probability. more likely for it to be around 150 times than exactly 150 time.
choice C is answer for question 8
Answer:
Step-by-step explanation:
