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3 years ago

K=5/9(F-32) + 273.15. Solve for F. If you have an answer please leave an explanion, but you Don't have to.

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

K = $\frac{5}{9}$ (F - 32) + 273.15

To cancel out the 5/9, you can either multiply everything by the denominator and divide it down, or multiply everything by the reciprocal of the fraction ( $\frac{9}{5}$ . Multiplying by the reciprocal is definitely easier if you can use a calculator:

$\frac{9}{5}$ K = (F - 32) + 491.67

Subtract 491.67 from both sides:

$\frac{9}{5}$ K - 491.67 = F - 32

Finish off by adding 32 to both sides:

$\frac{9}{5}$ K - 459.67 = F

Therefore, F = $\frac{9}{5}$ K - 459.67.

Hope this helps! :)

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3 years ago

Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient

ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

$=9 \times x\\= 9x$

The quotient of that number and 5.

$= \frac{x}{5}$

The difference between both expression;

$9x - \frac{x}{5}$

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as $9x - \frac{x}{5}$

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

$\frac{n}{12}$

Eight more than the resulting function is;

$\frac{n}{12}+8$

Hence eight more than the quotient of twelve and a number n is expressed as $\frac{n}{12}+8$

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

$6-x$

product of a number x and the quantity 'six minus the number is;

$x(6-x)$

quotient of eight and the number is;

$\frac{8}{x}$

Taking the resulting sum of the last two expression

$x(6-x) + 8x$

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

$x(6-x) + 8x$

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

$= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)$

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3 years ago

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.