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xenn [34]
3 years ago
6

Help with this question -8=-16+n​

Mathematics
1 answer:
labwork [276]3 years ago
8 0

Answer:

8

Step-by-step explanation:

-16-8=8

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How many ounces in a pound is 16 ounces.
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3 years ago
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What is the exact value of cos (67.5°)?
babymother [125]

first off, make sure you have a Unit Circle, if you don't do get one, you'll need it, you can find many online.

let's double up 67.5°, that way we can use the half-angle identity for the cosine of it, so hmmm twice 67.5 is simply 135°, keeping in mind that 135° is really 90° + 45°, and that whilst 135° is on the 2nd Quadrant and its cosine is negative 67.5° is on the 1st Quadrant where cosine is positive, so

cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\\\ cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos(135^o)\implies cos(90^o+45^o)\implies cos(90^o)cos(45^o)~~ - ~~sin(90^o)sin(45^o) \\\\\\ \left( 0 \right)\left( \cfrac{\sqrt{2}}{2} \right)~~ - ~~\left( 1\right)\left( \cfrac{\sqrt{2}}{2} \right)\implies -\cfrac{\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill

cos(67.5^o)\implies cos\left( \frac{135^o}{2} \right)\implies \pm \sqrt{\cfrac{ ~~ 1-\frac{\sqrt{2} ~~ }{2}}{2}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{ ~~ 1-\frac{\sqrt{2} ~~ }{2}}{2}}} \\\\\\ \sqrt{\cfrac{ ~~ \frac{2-\sqrt{2}}{2} ~~ }{2}}\implies \sqrt{\cfrac{2-\sqrt{2}}{4}}\implies \cfrac{\sqrt{2-\sqrt{2}}}{\sqrt{4}}\implies \cfrac{\sqrt{2-\sqrt{2}}}{2}

8 0
2 years ago
If f(n) = (2n + 3)2 – 2n, which statement is true?
viktelen [127]

Answer: f(5) = 16

Step-by-step explanation:

f(n) = (2n + 3)2 – 2n

f(5) = ((2 x 5) + 3)2 – 2 x 5

f(5) = (10 + 3)2 – 10

f(5) = (13)2 – 10

f(5) = 26 – 10

f(5) = 16

5 0
3 years ago
Find the following:<br><br> sin A<br> cos A<br> tan A<br> cot A<br> sec A<br> csc A
DedPeter [7]

Step-by-step explanation:

we use the law of sine :

sin(A)/a = sin(B)/b = sin(C)/c

with the related angles being opposite of the lines.

so, we have

sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =

= 0.316227766...

cos²(A) + sin²(A) = 1

cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =

= 0.948683298...

tan(A) = sin(A)/cos(A) = 0.333333333...

cot(A) = 1/tan(A) = 3

sec(A) = 1/cos(A) = 1.054092553...

csc(A) = 1/sin(A) = 3.16227766...

7 0
2 years ago
A student wants to know the approximate distance between London and Beijing. Using a string, she finds that the distance on a gl
Montano1993 [528]

Answer:

8182 kilometers

Step-by-step explanation:

A correct proportion to use is 22 over 5,000 = 36 over d

Cross multiply to get 22d = 5,000 x 36. Then, solve d. d = 8181.81.......so the approximate distance rounded to the nearest whole number from London to Beijing is 8182 kilometers.

Hope This Is Right.....

8 0
3 years ago
Read 2 more answers
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