Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed

1 answer:

3 0

It would take 11.5 hours. If he drove 460 miles in hours, his speed was about 57.5. Driving 661.5 miles at the same speed is equivalent to 11.5 hours.

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michael wittry has been investing inhis roth IRA retirement account for 20 years. Two years ago his account was worth $215,658.

Over [174]

Let's say

a = 215,658

ok... so.. he first lost 1/3 of that

$\bf \textit{\underline{lost} }\frac{1}{3}a\qquad \qquad a-\cfrac{1}{3}a\implies a-\cfrac{a}{3}\implies \cfrac{3a-a}{3}\implies \cfrac{2a}{3}
\\\\\\
\textit{then he \underline{gained} }\frac{1}{2}\textit{ of }\frac{2a}{3}\qquad \qquad \cfrac{2a}{3}+\cfrac{\frac{2a}{3}}{2}\implies \cfrac{\frac{2a}{3}}{\frac{2}{1}}
\\\\\\
\cfrac{2a}{3}+\cfrac{2a}{3}\cdot \cfrac{1}{2}\implies \cfrac{2a}{3}+\cfrac{2a}{6}\implies \cfrac{4a+2a}{6}
\\\\\\
\cfrac{6a}{6}\implies \boxed{a}\implies 215,658$

so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.

4 0

2 years ago

4. Priya is teaching her younger cousin to ride a bike. She wants to stay on roads that are not too steep and easy enough for a

taurus [48]

Answer:

Having 2 meters and 25 meters legs and 3 meters and 30 meters legs.

Step-by-step explanation:

Priya thinks that an angle of elevation of 7 Degrees or less will be safe for a learner of bike riding.

Now, a 7-degree elevation angle in a right triangle will have a 3 : 25 ratio of its legs.

Therefore, the list of 2 right triangles that would be safe for a new rider will be having 2 meters and 25 meters legs and 3 meters and 30 meters legs.

I both cases the angle of elevation will be less than 7 degrees. (Answer)

4 0

2 years ago

PLEASE HELP!!!!!!

jek_recluse [69]

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}\\\\
-----------------------------\\\\

\begin{cases}
a=12\\
b=10\\
D=90+50
\end{cases}\implies d = \sqrt{{{ 12}}^2+{{ 10}}^2-2(12)(10)cos(140^o)}
\\\\\\
d\approx \sqrt{427.851}\implies d\approx 20.684551$