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3 years ago

-. At 6:00 P.M., the temperature was 55°F. At 11:00 P.M. that same evening, the

Mathematics

1 answer:

Monica [59]3 years ago

8 0

Answer:

Step-by-step explanation:

11:00 pm - 6:00pm = 5 hour span

55-40=15 decreased each hour

5 divided by 15

0.3 = 3

3 x 5 = 15

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(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Natali5045456 [20]

Answer:

$-x^2+24x-70$

Step-by-step explanation:

$(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70$

Formula used =

$(a-b)^2 = a^2+ 2ab + b^2$

8 0

2 years ago

a student played a computer game 500 times and won 370 of these game. he then won the next "x" games and lost none. he has now w

a_sh-v [17]

So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:

$\frac{370+x}{500+x}=\frac{3}{4}$

Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:

$4(370+x)=3(500+x) \implies\\ 1480+4x=1500+3x \implies \\ x=20$

That x value is 20.

3 0

2 years ago

Work out size of angle x

stiks02 [169]

Answer:

x = 105 degrees.

Step-by-step explanation:

The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =

135 degrees.

So angle x = 360 - ( 120 + 135)

= 360 - 255

= 105 degrees.

Note we use the fomula T = 180( n - 2) to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.

5 0

1 year ago

What is the number of degrees of rotational symmetry for a parallelogram?

In-s [12.5K]

Answer:

A parallelogram has 180 degrees of rotational symmetry

5 0

2 years ago

Pls Help: I need help

Anna11 [10]

Answer: C

Step-by-step explanation: 0.571 is greater than 0.4. Therefore, 4/7 is greater than 2/5 and the answer to the question "Is 4/7 greater than 2/5?" is yes. Note: When comparing fractions such as 4/7 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

3 0

3 years ago