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3 years ago

In circle A below, ∠BAE ≅ ∠DAC.

Mathematics

2 answers:

vlabodo [156]3 years ago

8 0

so... the answer is???

musickatia [10]3 years ago

5 0

We have that the 2 arcs need to be equal, because their angles are the same. Hence, we get by setting the two expressions equal:
12x-10=5x+53 or 12x-5x=53+10 or 7x=63 or x=9. Hence, arce BE is equal to 12x-10=12*9-10=98 degrees.
This is also equal to the arc DC. Since we have calculated arc DC, we only need to calculate arc BD (and sum those two). The total arcs of a circle are 360 degrees.
Hence, EB+BC+DC+CE=360. But we have that BC+CE. So, we get:
98+BC+98+BC=360. Hence, we get that BC=CE(360-2*98)/2=82 degrees. Hence, BCD=98+82=180 degrees.

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Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

3 years ago

The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x.

alexira [117]

Answer:

I don't really understand the question

Step-by-step explanation:

I don't know the answer

4 0

3 years ago

The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point

FrozenT [24]

Answer:

$(-2,\, 0)$ .

Step-by-step explanation:

Dilate a point $(x,\, y)$ by a scale factor of $r$ with $(a,\, b)$ as the center, and the resultant point would be at $(a + r\, (x - a),\, b + r\, (y - a))$ .

In this question:

Point to dilate: $(x,\, y) = (-8,\, 0)$ .

Scale factor: $r = 0.25$ .

Center of dilation: $(a,\, b) = (0,\, 0)$ .

The resultant point would be:

$(0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))$ , which simplifies to $(-2,\, 0)$ .

5 0

3 years ago

PLEASE HELP ME WITH Question 5

kozerog [31]

There are many ways to solve number 5 as it is just an reduce/enlargement of equidistant fractions

The first method that came up to my mind is just dividing denominators.

For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.

You can use this method for b, either use a calculator because of the decimals or just remove the decimals and replace them later. Make sure when you use this method, you are always dividing the bigger number. So in B you would do 40.3 divided by 12.4

4 0

3 years ago

Joey scored 697 points by collecting 17 coins. In all, how many coins does Joey have to collect to score a total of 820 points?

Oksi-84 [34.3K]

Answer:

20 coins

Step-by-step explanation:

697/17 = 41

820/41 = 20 coins

7 0

3 years ago