Answer:
x=40
Step-by-step explanation:
Area of a triangle = B*H/2
First, you have to find the relationship between the large triangle and the smaller triangle. 72 is three times as much as 24, so to find x, you would have to find the relationship between 120 and x. So, 120/3 = 40.
Answer: a) $26.55/year
b) $64.13/year
Step-by-step explanation:
a) <u>$7.64</u> . <u>1 ft³</u> . <u>50 gal</u> . <u>1 load </u> . <u>52 week</u> = $<u>26.55</u>
100 ft³ 7.48 gal 1 load 1 week 1 year year
The total cost per year is $26.55
b)<u>$7.64</u> . <u>1 ft³</u> . <u>17.2 gal</u> . <u>1 shower </u> . <u>365 days</u> = <u>$64.13</u>
100 ft³ 7.48 gal 1 shower 1 day 1 year year
The total cost per year is $64.13
Answer:
The correct option is B. 16.3
Step-by-step explanation:
We are given a vector with components
V = 36x +33y
To solve this problem, we find its magnitude
|V| = SQRT (36^2 + 33^2)
|V| = SQRT (2385)
|V| = 48.836
To find the magnitude of the new vector we divide by three the previous quantity
|V2| = 48.836/3 = 16.278
Your answer is 75°.
To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:
b² = a² + c² - 2×a×c×cos(B)
b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)
b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5
b² = 8 - 2 = 6
b = √6
Then you use this length in the sine rule, and find the angle:
![\frac{sin(A)}{\sqrt{3}+1 } =\frac{sin(60)}{\sqrt{6} }](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7B%5Csqrt%7B3%7D%2B1%20%7D%20%3D%5Cfrac%7Bsin%2860%29%7D%7B%5Csqrt%7B6%7D%20%7D)
sin(A) = (√6 + √2)/4
A = 75
I hope this helps! Let me know if you have any questions
5 rational numbers between 0.5 and 0.6 can be any 5 numbers up to any number of decimal places that lies between 0.5 and 0.6. Or, it can also be 0.5124, 0.5676, 0.588, 0.59, 0.5789.S