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hoa [83]
3 years ago
7

A = 16

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer:

c² = a² + b² - 2ab×cos(C)

c = 7.7

Step-by-step explanation:

we use the enhanced Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

c² = 16² + 10² - 2×16×10×cos(22) = 256 + 100 - 320×cos(22) =

= 356 - 320×0.92718... = 356 - 296.698... ≈ 59.3

c ≈ 7.7

as you can see, the "regular" formula of Pythagoras

c² = a² + b²

is derived from the fact that cos(90)=0.

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Which table does not show a direct variation?
stiv31 [10]

Answer:

Table J

Step-by-step explanation:

A direct variation is a simple relationship between x and y.

When you are looking for the direct relationship you should use the formula for it y=kx, or you could just divide y over x (\frac{y}{x}).

<em><u>Analysing Table F:</u></em>

The relationship between x and y is 4.

\frac{-8}{-1}=4\\\\\frac{-4}{-1}=4\\\\\frac{0}{0}= origin\\\\\frac{4}{1}=4

The origin is fine and doesn't ruin the relationship.

<em><u>Analysing Table G:</u></em>

The relationship between x and y is 5.

\frac{5}{1}=5\\\\\frac{10}{2}=5\\\\\frac{15}{3}=5\\\\\frac{20}{4}=5

<em><u>Analysing Table H:</u></em>

The relationship between x and y is \frac{1}{3}.

\frac{0}{0}=origin\\\\\frac{1}{3}=\frac{1}{3}\\\\\frac{2}{6}=\frac{1}{3}\\\\\frac{3}{9}=\frac{1}{3}

Like I said before the origin doesn't ruin the relationship so it's fine.

<em><u>Analysing Table J:</u></em>

This one doesn't have a direct relationship between x and y.

\frac{1}{1}=1\\\\\frac{4}{2}=2\\\\\frac{9}{3}=3\\\\\frac{16}{4}=4

6 0
3 years ago
What is the factored form of the expression. <br> 4n^2 + 24n + 36
skad [1K]

Answer:

(2n+6)^2

Step-by-step explanation:

To solve this, you can use the given formula: x^2 + 2xy + y^2

In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:

(2n)^2 + 2(2n)(6) + (6)^2

Since this equation fits into this formula ( x^2 + 2xy + y^2), we can do:

(2n+6)(2n+6) =

(2n+6)^2

Hence, the answer is (2n+6)^2

6 0
3 years ago
What is a Ratio ??????
vfiekz [6]
It's easy to look it up in your phone
6 0
3 years ago
Read 2 more answers
Katie is 1.52 m tall. George is 6 cm shorter than Katie. How tall is George?
lukranit [14]

Answer:

1.46 cm

Step-by-step explanation:

You have to first convert meters into centimeters to make everything easier. (1m = 100cm)

1.52 meters is 152 centimeters

152-6 = 146 cm

146 cm divided by 100 is 1.46 meters

George is 1.46 meters tall

Hope this helps! :D

3 0
3 years ago
What is 37.726 rounded to the nearest tenth
pochemuha
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

37.7\fbox26\approx\huge\boxed{37.7}
7 0
4 years ago
Read 2 more answers
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