Answer:
the balance is 2075 dollars
Step-by-step explanation:
The answer is 2075 because 1.25% of 2000 is 25 and 25 multiplied by 3 is 75 and 75 plus 2000 is 2075.
P.S Can I have brainliest?
Answer:
option 4 ⇒ 236 lb.
Step-by-step explanation:
Best explanation of the question is as shown in the attached figure.
we will use the parallelogram method to calculate resultant force.
to get the length of the resultant force ⇒ use the cosines law
The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)
Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x
Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°
∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481
∴ Resultant force = √55481 = 235.54 ≅ 236 pounds
The answer is option 4 ⇒ 236 lb.
Answer:
30 years
Step-by-step explanation:
2 is a factor of 30, so the LCM of 2 and 30 is 30.
Saturn and Mars will appear in the same direction in the night sky every 30 years.
well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.
![\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccll%7D%20%5Cstackrel%7Bmovie%7D%7Bfraction%7D%26hour%5C%5C%20%5Ccline%7B1-2%7D%20%5Cfrac%7B3%7D%7B5%7D%26%5Cfrac%7B5%7D%7B8%7D%5C%5C%5B1em%5D%20%5Cunderset%7Bwhole%7D%7B1%7D%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B~~%20%5Cfrac%7B3%7D%7B5%7D~~%7D%7B1%7D%3D%5Ccfrac%7B~~%20%5Cfrac%7B5%7D%7B8%7D~~%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B5%7Dx%3D%5Ccfrac%7B5%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B3x%7D%7B5%7D%3D%5Ccfrac%7B5%7D%7B8%7D%20%5C%5C%5C%5C%5C%5C%2024x%3D25%5Cimplies%20x%20%3D%20%5Ccfrac%7B25%7D%7B24%7D%5Cimplies%20x%20%3D%201%5Cfrac%7B1%7D%7B24%7D%5Cqquad%20%5Ctextit%7B1%20hour%2C%202%20minutes%20and%2030%20seconds%7D)