Answer:
4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.
Answer:
66.7 in^3
Step-by-step explanation:
The volume of a triangular pyramid is given by
V = 1/3 B h
where B is the area of the base and h is the height
Calculate the area of the base. The base is a triangle
B = 1/2 bh where b is 8 and h is 5
= 1/2 (8) * 5
=20
V = 1/3 (20) 10
66.6666666
To the nearest tenth
66.7 in^3
Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,

In triangle ABC,



It can be written as


Therefore, the measure of θ is 28.369.
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,

Also, he drove his car from his home to New York at the rate of 45 mph,
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And, returned over the same road at the rate of 40 mph.
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According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
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⇒ 
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Hence, the total distance from home to New York = x miles = 360 miles
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