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4 years ago

Explain how to explain if a angel if a right angel without measuring it

Mathematics

1 answer:

AURORKA [14]4 years ago

7 0

Answer:

Opposite of the hypotenuse

Step-by-step explanation:

In a right triangle the right angle (90 degrees) is opposite of the hypotenuse

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. If one of the zeroes of the quadratic polynomial (k-1) x2 +k x +1 is -3 then what is the value of k?

KATRIN_1 [288]

Answer:

k = 1¹/₃

Step-by-step explanation:

Comparing (k-1)x² + kx + 1 with ax + bx + c where α, β be the zeroes of the quadratic equation, then

α + β = -b/a = -k/(k - 1) and αβ = c/a = 1/(k - 1)

Since one of the zeros is -3, β = -3

So,

α + β = -k/(k - 1)

α + (-3) = -k/(k - 1)

α - 3 = -k/(k - 1) (1)

and

αβ = 1/(k - 1)

-3α = 1/(k - 1) (2)

From (1), α = 3 - k/(k - 1) (3)

Substituting equation (3) into (2), we have

-3α = 1/(k - 1)

-3[3 - k/(k - 1)] = 1/(k - 1)

-9 + 3k/(k - 1) = 1/(k - 1)

-9 = 1/(k - 1) - 3k/(k - 1)

-9 = (1 - 3k)/(k - 1)

cross-multiplying, we have

-9(k - 1) = 1 - 3k

expanding the brackets, we have

-9k + 9 = 1 - 3k

collecting like terms, we have

-9k + 3k = 1 - 9

-6k = -8

dividing through by -6, we have

k = -8/-6

k = 4/3

k = 1¹/₃

7 0

3 years ago

Tapiwa raked %5, percent more leaves than Adam raked. Tapiwa raked 357 liters of leaves. How many liters of leaves did Adam rake

e-lub [12.9K]

Answer:

340 liters

Step-by-step explanation:

357/1.05=340

4 0

3 years ago

Three times a certain number is added to 5 and the result is 20? <br> What's the number?

FinnZ [79.3K]

Answer:

The number is 5

Step-by-step explanation:

First of all we have to convert the given scenario in mathematical or algebraic expression.

Let x be the number

Then according to given statement, the equation will be:

"Three times a certain number"

$3x$

"is added to 5"

$3x+5$

"the result is 20"

$3x+5 = 20$

Using Subtraction property of Equality

$3x+5-5 = 20-5\\3x = 15$

Using division property of equality

$\frac{3x}{3} = \frac{15}{3}\\x = 5$

Hence,

The number is 5

6 0

3 years ago

Read 2 more answers

Henry reads 20 pages in 10 minutes. Rotha reads 30 passes in 12 minutes. Who reads at a quicker rate?

Over [174]

Answer:

Rotha

Step-by-step explanation:

20 divided by 10 is 2

30 divided by 12 is 2.5

So Rotha is quicker

4 0

3 years ago

Helpp??????? Please anyone it’s due tonight

Tomtit [17]

Answer:

50%

Step-by-step explanation:

because 9 is half of 18, and half= 50 or 1/2

3 0

3 years ago

Read 2 more answers