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4 years ago

X=r-h/y solve for h and then for r

Mathematics

2 answers:

WINSTONCH [101]4 years ago

7 0

X=(r-h)/y
xy=r-h
xy-r=-h
r-xy=h

x=(r-h)/y
xy=r-h
xy+h=r

alexandr402 [8]4 years ago

7 0

Answer:

$r=x+\frac{h}{y}$

Step-by-step explanation:

X=r-h/y

$x=r-\frac{h}{y}$

Solve the equation for 'r'

To solve the equation for 'r', we add the fraction on both sides.

$x+\frac{h}{y}=r-\frac{h}{y}+\frac{h}{y}$

So right side we are left with 'r'

$r=x+\frac{h}{y}$

We got the 'r' alone. So we solve for 'r'

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Find the length of a rectangle with a diagonal of 10 and a height of 8.

Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

EXTRA:

If you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.

Instead of 5, a diagonal of 10 is given (factor of 2 bigger).

Instead of 4, the height of 8 is given (factor of 2 bigger). By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

EXTRA:

You can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0

3 years ago

What is the y-intercept of y=-2x+6

Fiesta28 [93]

The y-intercept is 6.

6 0

3 years ago

Read 2 more answers

Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×

strojnjashka [21]

8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.

7 0

3 years ago

Please help asap ill give brainliest

natita [175]

The formula is 1/2 x P x L + B
P=perimeter
L=Side length
B= Slanted Base length

ANSWER= 8 mi

7 0

3 years ago

80 is 40% of what number?

andriy [413]

80 is 40% of 200 because 40%of 100 is 40. Common sense is just to double both values, also 200 x .40 (40%as a decimal) gives you the result of 80.

5 0

3 years ago