Answer:
70
Step-by-step explanation:
Substitute x with -6:
2(-6)²-2
2(36)-2
72-2
70
Hello! So Carlos' sister reads an average of 24 pages in 1 hour. He reads 144 pages in 3 hours. To find the unit rate Carlos reads, let's do some division. 144/3 is 48. Carlos reads an average of 48 pages in 1 hour. If you use mental math, 48 is double the amount of 24. 200% is just simply 2. 24 * 2 is 48. D is the only one that shows an answer that even fits for this scenario. Carlos' average reading rate is 200% of his sister's. The answer is D: 200%.
Answer:
A
Step-by-step explanation:
Given 2 similar figures with sides in the ratio a : b
Then the ratio of their areas is a² : b²
Hence
ratio of sides = 2 : 9, then
ratio of areas = 2² : 9² = 4 : 81 → A
Answer:
C
Step-by-step explanation:
Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.
A) 2(14+10)=2(24)=48
B) 2(70+70)=2(140)=280
C) 2(60+10)=2(70)=140
Therefore, the correct answer is C. Hope this helps!
Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.
where 
represents the angle of reference.
Plugging in the values from the triangle.
Multiplying both sides by AC.
Dividing both sides by 
∴ 
The distance you are from the base of plateau =
