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nikklg [1K]
3 years ago
12

(plz helppp !) A triangular prism has base edges 4cm, 5cm, and 7cm long. it’s lateral area is 353cm2 what is the height of the p

rism?
Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

Answer:

22.0625

Step-by-step explanation:

Lateral surface area formula: (a+b+c)h=L

(4+5+7)h=L

(16)h=353

16h=353

h=22.0625

Hope this helps!

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Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

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3b=30

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Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

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Step-by-step explanation:

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