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Mkey [24]
3 years ago
5

Work out an estimate for the value of 48.7 × 61.2/11.3

Mathematics
2 answers:
avanturin [10]3 years ago
4 0

Answer:

263.755

Step-by-step explanation:

48.7 \times 61.2 \div 11.3 \\  2,980.44 \div 11.3 \\  = 263.755752

hope this helps

brainliest appreciated

good luck! have a nice day!

rewona [7]3 years ago
4 0

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7x+2y=3 and x-3y=30, what is the value of y?
Blizzard [7]

\tt\it\bf\it\huge\bm{\mathfrak{{\red{hello*mate♡}}}}

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<h3>I'm solving it using substitution method:-</h3>

<h3>7x+2y=3 {given}</h3>

<h3>=>7x=3-2y</h3>

<h3>=>x=(3-2y)/7-------(1)</h3>

<h3>x-3y=30 {given}</h3>

<h3>=>x=30+3y</h3>

<h3>=>(3-2y)/7=30+3y {putting the value of x from eqn 1}</h3>

<h3>=>3-2y=210+21y</h3>

<h3>=>3-210=21y+2y</h3>

<h3>=>-207=23y</h3>

<h3>=>y= -207/23= -9</h3>

<h3>putting the value of y on eqn(1):-</h3>

<h3>x=(3-2y)/7</h3>

<h3>x=>(3-2(-9))/7=(3+18)/7=21/7=3</h3>

<h2>Hence, x=3, y= -9</h2>

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Someone please help me, this is dealing with the pythagorean theorem
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14.  x ^2  =  12^2  + 7 ^2  = x = sqrt (12^2 + 7^2) =  sqrt(193)




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PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

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a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is
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Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

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