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antiseptic1488 [7]
3 years ago
8

Speed of a 747 airplane is 9,944 inches per second. What is the nearest foot per second

Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

12 inches = 1 foot

9,944 inches = 9,944/12 = 826.67 ft

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Rewrite the following in the form log (c). 4 log(5)
Murljashka [212]

Answer:

Step-by-step explanation:4log(5) = log(5^4) = log(625).

This problem involves using one of the properties of logs, where a coefficient (in this case the "4") for a logarithm equals the "inside of a logarithm" raised to power of whatever number the coefficient is.

The property in mathematical terms is:    Alog(B) = log(B^A).

So, 4log(5)= log(5^4) = log(625)

5 0
3 years ago
What’s the geometric formula
Anni [7]
  I think the answer would be be C.
8 0
3 years ago
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Prove that: (b²-c²/a)CosA+(c²-a²/b)CosB+(a²-b²/c)CosC = 0​
IRISSAK [1]

<u>Prove that:</u>

\:\:\sf\:\:\left(\dfrac{b^2-c^2}{a}\right)\cos A+\left(\dfrac{c^2-a^2}{b}\right)\cos B +\left(\dfrac{a^2-b^2}{c}\right)\cos C=0

<u>Proof: </u>

We know that, by Law of Cosines,

  • \sf \cos A=\dfrac{b^2+c^2-a^2}{2bc}
  • \sf \cos B=\dfrac{c^2+a^2-b^2}{2ca}
  • \sf \cos C=\dfrac{a^2+b^2-c^2}{2ab}

<u>Taking</u><u> </u><u>LHS</u>

\left(\dfrac{b^2-c^2}{a}\right)\cos A+\left(\dfrac{c^2-a^2}{b}\right)\cos B +\left(\dfrac{a^2-b^2}{c}\right)\cos C

<em>Substituting</em> the value of <em>cos A, cos B and cos C,</em>

\longmapsto\left(\dfrac{b^2-c^2}{a}\right)\left(\dfrac{b^2+c^2-a^2}{2bc}\right)+\left(\dfrac{c^2-a^2}{b}\right)\left(\dfrac{c^2+a^2-b^2}{2ca}\right)+\left(\dfrac{a^2-b^2}{c}\right)\left(\dfrac{a^2+b^2-c^2}{2ab}\right)

\longmapsto\left(\dfrac{(b^2-c^2)(b^2+c^2-a^2)}{2abc}\right)+\left(\dfrac{(c^2-a^2)(c^2+a^2-b^2)}{2abc}\right)+\left(\dfrac{(a^2-b^2)(a^2+b^2-c^2)}{2abc}\right)

\longmapsto\left(\dfrac{(b^2-c^2)(b^2+c^2)-(b^2-c^2)(a^2)}{2abc}\right)+\left(\dfrac{(c^2-a^2)(c^2+a^2)-(c^2-a^2)(b^2)}{2abc}\right)+\left(\dfrac{(a^2-b^2)(a^2+b^2)-(a^2-b^2)(c^2)}{2abc}\right)

\longmapsto\left(\dfrac{(b^4-c^4)-(a^2b^2-a^2c^2)}{2abc}\right)+\left(\dfrac{(c^4-a^4)-(b^2c^2-a^2b^2)}{2abc}\right)+\left(\dfrac{(a^4-b^4)-(a^2c^2-b^2c^2)}{2abc}\right)

\longmapsto\dfrac{b^4-c^4-a^2b^2+a^2c^2}{2abc}+\dfrac{c^4-a^4-b^2c^2+a^2b^2}{2abc}+\dfrac{a^4-b^4-a^2c^2+b^2c^2}{2abc}

<em>On combining the fractions,</em>

\longmapsto\dfrac{(b^4-c^4-a^2b^2+a^2c^2)+(c^4-a^4-b^2c^2+a^2b^2)+(a^4-b^4-a^2c^2+b^2c^2)}{2abc}

\longmapsto\dfrac{b^4-c^4-a^2b^2+a^2c^2+c^4-a^4-b^2c^2+a^2b^2+a^4-b^4-a^2c^2+b^2c^2}{2abc}

<em>Regrouping the terms,</em>

\longmapsto\dfrac{(a^4-a^4)+(b^4-b^4)+(c^4-c^4)+(a^2b^2-a^2b^2)+(b^2c^2-b^2c^2)+(a^2c^2-a^2c^2)}{2abc}

\longmapsto\dfrac{(0)+(0)+(0)+(0)+(0)+(0)}{2abc}

\longmapsto\dfrac{0}{2abc}

\longmapsto\bf 0=RHS

LHS = RHS proved.

7 0
2 years ago
The width of a rectangle is 5 cm less than the length. The perimeter is 38 cm. Find the dimensions of the rectangle
VikaD [51]

Answer:

Step-by-step explanation:

38=2(5)+2(x ) find X  

2x5-10

38-10=28

28/2=14  

14/2=7

x =7

so you length is 7

8 0
3 years ago
Find an equation of a line that has a slope 7 and passes through the point 3,11
choli [55]
You’re given that m=7 (slope is 7), so setup the slope-intercept form with that info: y = 7x + b.

Now you need to find b. Plug in (3,11) for x and y, x=3 and y=11.

11 = 7*3 + b

Notice the only variable left is b, so you’ll find b this way.

11 = 21 + b and then subtract 21 from both sides:

11 - 21 = b

-10 = b

Plug that back into the equation and you have y = 7x -10
5 0
3 years ago
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