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slamgirl [31]
1 year ago
6

Find the indicated angle or side. Give an exact answer. Find the measure of angle A in degrees.

Mathematics
1 answer:
Anna35 [415]1 year ago
8 0

Step-by-step explanation:

law of cosine :

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of C.

so, in our case

3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)

0 = 3²×3 - 18×sqrt(3)×cos(A)

27 = 18×sqrt(3)×cos(A)

cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =

= 0.866025404...

A = 30°

FYI : since it is an isoceles triangle, C = A = 30°.

and therefore B = 180 - 30 - 30 = 120°.

as the sum of all angles in a triangle is always 180°.

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Question Number 2!! Thank youu
rewona [7]

Answer:

56°

Step-by-step explanation:

Since triangle ABD and triangle CBD are congruent (SAS), so you can divide m∠ABC by 2 to get the m∠ABD and m∠CBD, or 56°.

3 0
2 years ago
For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples a
andre [41]

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

6 0
2 years ago
Removing which point from the coordinate plane would make the graph a function of x? mc006-1.jpg
Marianna [84]
B. (-2,1)

By checking the x coordinates, I saw there was two -2, but the output was different, so one of them had to be taken out to make it a function.

Function: Every input must have one out must.
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3 years ago
Pls help me with this question
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