Asap please help math evaluate algebra
1 answer:
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Answer:
The money Rachael plan to collect for the shelter is <u>$350</u>.
Step-by-step explanation:
Given:
Rachel is collecting donations for the local animal shelter.
So far she has collected $245, which is 70% of what she hopes to collect.
Now, to find the money Rachael plan to collect for the shelter.
Let the total amount Rachael plan to collect be .
Amount she collected = $245.
Percentage of amount she collected = 70%.
Now, to get the amount Rachael plan to collect we put an equation:
⇒
⇒
⇒
<em>Dividing both sides by 0.70 we get:</em>
⇒
Therefore, the money Rachael plan to collect for the shelter is $350.
1.7 hrs
Step-by-step explanation:
We can use cosine law to find the distance d:
where. a = 3 mi
b = 4 mi
gamma = 71.7°
d^2 = (3mi)^2 + (4 mi)^2 - 2(3 mi)(4 mi)cos(71.7)
= 9 mi^2 + 16 mi^2 -24cos(71.7)
= 17.464 mi^2
or
d = 4.2 mi
To find the time it takes for him to go from the cave to the waterfall, divide this distance d by his walking rate of 2.5 mi/hr:
t = d/v = 4.2 mi/2.5 mph
= 1.7 hrs