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GaryK [48]
3 years ago
10

For their homecoming​ parade, the students of​ U-Math have created a colorful​ banner, 57 meters in​ length, that is made of two

pieces of parachute material. The short piece is 23 meters shorter than the long piece. Find the length of each piece. Length of the long piece equals
Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

Length\ of\ the\ long\ piece=40\ meters\\\\Length\ of\ the\ short\ piece=17\ meters

Step-by-step explanation:

Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.

Set up a system of equations:

\left \{ {{s+l=57} \atop {s=l-23}} \right.

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

(l-23)+l=57\\\\2l=80\\\\l=\frac{80}{2}\\\\l=40

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

s=40-23\\\\s=17

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motikmotik
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notice, the 2/5 is just a "scalar" value, so you can just get the derivative of the variable part and slap the scalar as its factor.
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3 years ago
.prove that cos (90-A).sinA + sin(90 - A).cosA = 1 ​
pav-90 [236]

Answer:

See Explanation

Step-by-step explanation:

cos (90-A).sinA + sin(90 - A).cosA = 1  \\  \\ LHS = cos (90-A).sinA + sin(90 - A).cosA \\  \\ = sinA.sinA + cosA.cosA\\  \\ = sin ^{2} A + cos^{2} A \\  \\  = 1 \\  \\=RHS\\\\ reason \\ cos (90- \theta) = sin \theta \\ sin (90- \theta) = cos \theta \\ sin ^{2}  \theta + cos^{2}  \theta = 1 \\  \\ thus \: proved \\

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3 years ago
The graph represents f(x), and g(x) = 7x – 42.
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f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


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Answer:

15.09

Step-by-step explanation:

Hope this helps!

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SERIOULSLY WOULD SOMEONE JUST HELP ME WITH THESE QUESTIONS FOR ONCE? BY THAT I MEAN NOT ONLY ANSWER 23 AND 22 ALSO 24, 25, 26,27
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Answer:

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23. √23.5 is closer to √25 or 5

24. ∛59 is closer to ∛64 or 4 (cubed)

(4 cubed = 64, 3 cubed = 27)

25. ∛430 is closer to ∛512 or 8

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30. ∛520 is closer to ∛512 or 8 (cubed)

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