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3 years ago

How to solve : 16=2t + 0.25 t``squar

Mathematics

1 answer:

Marysya12 [62]3 years ago

8 0

Answer:

The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).

Step-by-step explanation:

We have to solve the given quadratic equation of single variable t.

The equation is 16 = 2t + 0.25t²

⇒ 0.25t² + 2t - 16 = 0

⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}

⇒ 25t² + 200t + 400 - 400 - 1600 = 0

⇒ (5t + 20)² - 2000 = 0

⇒ (5t + 20)² - (20√5)² = 0

⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0

So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0

⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0

⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)

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Multiply and express your answer in scientific notation.

SashulF [63]

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3 years ago

If mSW = (12x-5)°, mTV= (2x+7)°,and m angle TUV = (6x-19)°, find mSW

svet-max [94.6K]

Given:

Consider the below figure attached with this question.

m(arc(SW)) = (12x-5)°, m(arc(TV))= (2x+7)°,and measure of angle TUV = (6x-19)°.

To find:

The m(arc SW).

Solution:

Intersecting secant theorem: If two secants intersect outside the circle, then the angle on the intersection is half of the difference of the larger subtended arc and smaller subtended arc.

Using Intersecting secant theorem, we get

$m\angle TUV=\dfrac{1}{2}(m(arc(SW))-m(arc(TV)))$

$6x-19=\dfrac{1}{2}((12x-5)-(2x+7))$

$6x-19=\dfrac{1}{2}(12x-5-2x-7)$

$6x-19=\dfrac{1}{2}(10x-12)$

Multiply both sides by 2.

$2(6x-19)=10x-12$

$12x-38=10x-12$

$12x-10x=38-12$

$2x=26$

Divide both sides by 2.

$x=13$

Now, the measure of arc SW is:

$m(arc(SW))=(12x-5)^\circ$

$m(arc(SW))=(12(13)-5)^\circ$

$m(arc(SW))=(156-5)^\circ$

$m(arc(SW))=151^\circ$

Therefore, the measure of arc SW is 151 degrees.

7 0

3 years ago

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS PLZ

Mumz [18]

Answer:

Step-by-step explanation:

Choice A

Log 10 = 1.

So A is actually right, although it does not look it.

log(20 * x^5 ) - 1 is correct.

Choice B

Log(x^5 * 20 / 10)

log(2 x^5)

Choice B is also correct

Choice C is not correct, or if it is, I don't know how to get it. You need the 20 in there somewhere.

No! Dis not correct. The 2 is not raised to the 5th power.

And E is not correct. I'm not sure how they got it. Even + 1 is not correct. It should be -1 if that is how it is to be done.

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3 years ago

Q10) A book was sold for Rs. 550 with a profit of 10%. What was its cost price? *

stealth61 [152]

Answer:

CP = Rs 500

Step-by-step explanation:

Given that,

Selling price of a book, SP = Rs 550

Profit percent = 10%

We need to find the cost price of the book. The formula for profit percent is given by :

$P\%=\dfrac{SP-CP}{CP}\times 100\\\\\dfrac{10}{100}=\dfrac{550-CP}{CP}\times 100\\\\\dfrac{1}{10}=\dfrac{550-CP}{CP}\\\\CP=5500-10CP\\\\CP+10CP=5500\\\\11CP=5500\\\\CP=500$

So, the cost price of the book is Rs 500.

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3 years ago

A drug contains 92 marvels of which 20 are blue 8 are red and the rest are green.what is the ratio of blue marbles to green marb

Murljashka [212]

Answer:

20:64

Step-by-step explanation:

total = 92

red = 8

blue = 20

green = x

20:X

------------

92 - 28 (blue + red) will give you the amount of green, which is 64

so the blue:green ratio is 20:64

7 0

4 years ago

How to solve : 16=2t + 0.25 t``squar​

How to solve : 16=2t + 0.25 t``squar