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3 years ago

Which expression can be used to find measure angle R

Mathematics

1 answer:

Novay_Z [31]3 years ago

4 0

Answer:

cos-1(-4/14)

Step-by-step explanation:

4.5=r

3.5=s

2=t

By law of cosines:

$r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )$

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How many 4-digit odd numbers can you make using the digits 1 to 7 if the numbers must be less than 6000? No digits are repeated.

bixtya [17]

Answer:

Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.

The last digit must be a 1, 3, 5, or 7, because the number has to be odd.

So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.

The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.

At this point, we have everything we need to express this as an equation:

x = (2 x 4 + 1 x 3) x 6 x 5

And then we can simplify and solve:

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6 0

3 years ago

The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle

hichkok12 [17]

A perimeter of a rectangle is:
$2(l+w)$

They give you the width, but let's convert it to an improper fraction first:
$6 \frac{2}{3} = \frac{20}{3}$

The length is twice the width so it is:
$\frac{20}{3}*2 = \frac{40}{3}$

Now, we are ready to solve, plug in values in the perimeter formula:
$2( \frac{40}{3}+ \frac{20}{3}) = 2(\frac{60}{3}) = \frac{120}{3} = 40$

So, 40 is your answer.

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Vinvika [58]

Answer:

I hoped this helped!

Step-by-step explanation:

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3 years ago

Explain how you could add 678 + 303 using mental math

Bad White [126]

Okay well I do it like this. 3+8=11. I put a 1 down and carry the other. so I do 7+0+1=8 so now I have 81, and last I do 6+3=9. so the answer would be 981.

Have a nice day!

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3 years ago

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