The building is 76 feet tall. Notice that there's a pair of similar triangles in this diagram: The top of the building, root of the building, and the stake form triangle 1. The top of the tree, root of the tree, and the stake form triangle 2. Since the root of the tree is half way between stake and building, the proportionality between the triangles is 2. Therefore, the building is twice as tall as the tree. 38*2=76.
Answer: option B
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Slope intercept form
y=mx+b
where the slope is m and b is the y intercept
the slope is needed
slope between (x₁,y₁) and (x₂,y₂) is (y₂-y₁)/(x₂-x₁)
so,
given (4,5) and (8,9)
the slope is (9-5)/(8-4)=4/4=1
y=1x+b
find b
input a point
(4,5)
x=4 and y=5
5=1(4)+b
5=4+b
minus 4 both sides
1=b
y=1x+1 is slope intercept form
1: Whole Numbers: (Do not include Negative)
- 15
- 134
Rational Numbers:
- 15 (15/1) (You can change 15 into a rational by putting it over 1)
- 134 (134/1)
- -1/3
- 2.4
- -18 (-18/1)
2: Least to Greatest
0.09, 1/9, 9/10, 91%
3: Greatest to Least
5/4, 1 1/5, 100%, 10.5
<em>I hope this helps, and Happy Holidays! :)</em>
