What is -2,3 rotated 90 degrees counterclockwise around the origin?

Anita recorded a temperature of -5°C, and Emma recorded a temperature of 26°C. How much warmer was the temperature that Emma rec

Elan Coil [88]

In C, that would be 31 degrees warmer.

In F, that would be 87.8 degrees warmer.

I hope this helps!
~kaikers

3 0

3 years ago

PLEASE HELP! Two complementary angles measure (12x - 18) and (5x +23). What is the measure of the smaller angle? (1) 5 (2) 42 (3

FromTheMoon [43]

Answer:

5

Step-by-step explanation:

firstly, what are complementry angles.complementary angles are angles that su

m up to 90°

(12x-18)+(5x+23)=90

collecting like terms

12x+5x+23-18=90

17x-5-90=0

17x-95=0

17x=95

divide through by 17

x=5

4 0

3 years ago

What is the inequality of 0 < a < 6 on a numberline

pickupchik [31]

The given inequality is expressed as

0 < a < 6

This means that the values of a that would satisfy the inequality are numbers between 0 and 6 but both 0 and 6 are not inclusive. This would be shown by not making solid circles at 0 and 6. The number line is shown below

7 0

1 year ago

By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50

olchik [2.2K]

Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half, how much is 50% of b? well (50/100)*b, or 0.5b

$\bf \begin{cases}
a\cdot b\implies ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}$

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%

5 0

4 years ago

Find a number between 1 5/8 and 1.62501

Sauron [17]

Answer:

$1 \frac{125001}{200000}$ or 1.625005

Step-by-step explanation:

To find a number between two numbers, if you're allowed to pick any number you want between those two numbers, one natural choice is the midpoint... the point that is exactly halfway between the two numbers.

Finding a midpoint

To find the midpoint of two numbers, divide their sum by 2:

$\text{midpoint}=\dfrac{\text{first number}+\text{second number}}{2}$

It is convenient to have both numbers in decimal form or both numbers in fraction form for adding and dividing by 2.

Fraction form:

To convert 1.62501 to a fraction, we note that the last decimal digit is in the hundred-thousandths place, so we'll need a fraction with 100,000 in the denominator.

$1.62501=1\frac{62501}{100000}$

Using our midpoint formula:

$\text{midpoint} = \dfrac{ 1 \frac{5}{8} + 1 \frac{62501}{100000} } {2}$

find a common denominator...

$\text{midpoint} = \dfrac{ 1 +(\frac{5}{8})*\frac{12500}{12500} + 1 +\frac{62501}{100000} } {2}$

$\text{midpoint} = \dfrac{ 1 + \frac{62500}{100000} + 1 +\frac{62501}{100000} } {2}$

combining like terms...

$\text{midpoint} = \dfrac{ 2 +\frac{125001}{100000} } {2}$

rewriting the division as multiplication of a reciprocal....

$\text{midpoint} = \left(2 +\frac{125001}{100000} \right) *\dfrac{1}{2}$

distributing...

$\text{midpoint} = \left(2 *\dfrac{1}{2} +\frac{125001}{100000} *\dfrac{1}{2}\right)$

$\text{midpoint} = 1 +\frac{125001}{200000}$

$\text{midpoint} = 1 \frac{125001}{200000}$

So, $1 \frac{125001}{200000}$ is the midpoint of the two numbers, and is a number that is between them.

Decimal form:

To convert $1 \frac{5}{8}$ to a decimal, we divide 5 by 8. 5 divided by 8 is 0.625.

So, $1 \frac{5}{8}=1.625$

To find a midpoint of 1.625 and 1.62501, we use our midpoint formula:

Using our midpoint formula:

$\text{midpoint} = \dfrac{ 1.625 + 1.62501} {2}$

$\text{midpoint} = \dfrac{ 3.25001} {2}$

$\text{midpoint} =1.625005$

So, 1.625005 is midpoint of the two numbers, and is a number that is between them.

Extension with decimals:

Knowing the decimal form of the two numbers, 1.625 and 1.62501, we can include trailing zeros at the end of these numbers (since it is to the right of the decimal point), so that 1.625 is equivalent to 1.625000, and 1.62501 is equivalent to 1.625010.

Note that the last two digits are in the millionths place, and that changing the digit in the millionths place for the first number (while leaving all other digits as they are) will also be a number between the two numbers (all 9 of the numbers with a star written below):

1.625000

1.625001*

1.625002*

1.625003*

1.625004*

1.625005*

1.625006*

1.625007*

1.625008*

1.625009*

1.625010

8 0

2 years ago