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Mekhanik [1.2K]
3 years ago
5

Which N W Which pair is supplementary

Mathematics
1 answer:
Bond [772]3 years ago
4 0
N because if lines intersect than they are supplementary if not complementary.
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Eliza is a chef at a restaurant. she is making spaghetti sauce and put 21 tomatoes and 6 onions in the pot. what is the ratio of
seraphim [82]
These are not hard....u just have to pay very close attention to the wording. Keep in mind ratios can be written as fractions too.

ratio of tomatoes to onions = 21:6 which reduces to 7:2...because there is 21 tomatoes and 6 onions. (21/6 reduces to 7/2...ratios written as fractions)

However, if it would have asked the ratio of onions to tomatoes, it would have been 6:21....which reduces to 2:7....so pay attention to the wording on problems such as these

so ur answer is 7:2

6 0
3 years ago
A square calendar has sides that are 20 Inches long. What is the calendar's perimeter?<br> inches
Naddik [55]

Answer:

80 in.

Step-by-step explanation:

to find the perimeter of a shape you add all of the side lengths together

20+20+20+20

8 0
3 years ago
Hiiii.. please help me with this limit question ​
Alenkasestr [34]

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

8 0
3 years ago
Frank solved an equation and got the result x=x Sarah solved the same equation and got 12=12 Frank says that one at one of them
babymother [125]
You can get the different results for the same equation if one of the results is a variable. This is because, in this problem, x=12.
5 0
3 years ago
the sale price of an iphone is 179.00. if the percent discount was 20% what was the original price of the iphone?
Tju [1.3M]
100 - 20 = 80
179.00 = 80%
179.00 / 80 = 2.2375 = 1%
1% x 100 = 100%
So, 2.2375 x 100 = 100%
Therefore the original price was 223.75
3 0
3 years ago
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