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3 years ago

In the triangle below, what is the length of the side opposite the 60° angle?

Mathematics

1 answer:

Andrews [41]3 years ago

7 0

Step-by-step explanation:

$\tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3}$

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Write the expression 2a+b in the form of a fraction with the given denominator. Check if the domain of the expression changed. I

Ymorist [56]

Answer:

See below

Step-by-step explanation:

I will assume the given denominator is 3a as there is nothing attached to the statement.

Lets first look at the domain of 2a+b. As it is a polynomial with unknowns a and b, we know it has its domain in all real numbers for both a and b as every polynomial does. For verifying it replace a and b by any real number you can think of.

Domain = a, b belonging to R

Now, if we divide 2a+b by 3a we will have:

(2a+b)/3a

As know we don not have a polynomial we cant state that the domain will still be all the real numbers for sure. We need to go further.

We have a fraction and as every fraction the denominator CAN'T be equal to 0, so 3a MUST be different to 0. This means that a MUST be different to 0. So, now our domain changes:

domain' = a, b belonging to R and a different to 0.

6 0

3 years ago

I need help with Q11 ASAP!!!

storchak [24]

Answer:

Hey there!

When z=48, y=6.

z is 8 times as much as y.

11 part 1: z=8y

11 part 2: I'm going to attach a graph I created at the bottom of this answer :)

Let me know if this helps :)

3 0

2 years ago

Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o

vodka [1.7K]

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let $(x,y)$ be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

$(x,y)\rightarrow (-x,-y)$

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

$(a,b)\rightarrow (b,a)$

When a sequence of two translations are applied to the initial input coordinates, then

$(x,y)\rightarrow (-x,-y)\rightarrow (-y,-x)$

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.

8 0

3 years ago

15 POINTS: The ratio of the same side interior angles of two parallel lines is 33:3. Find the measures of all eight angles forme

larisa [96]

Answer:

$15^\circ,165^\circ,15^\circ,165^\circ\\15^\circ,165^\circ,15^\circ,165^\circ$

Step-by-step explanation:

The ratio of the same side interior angles of two parallel lines is 33:3

If two parallel lines are cut by a transversal

Sum of the same side interior angles = 180 degrees.

Therefore, the two same-side interior angles are:

$\dfrac{33}{36}\times 180^\circ =165^\circ\\\dfrac{3}{36}\times 180^\circ =15^\circ$

We can then say that the measure of all eight angles formed by the parallel lines and transversal starting from the upper left in a clockwise rotation is:

$15^\circ,165^\circ,15^\circ,165^\circ, 15^\circ,165^\circ,15^\circ,165^\circ$

4 0

2 years ago

53 pts! which of the following is equal to g(x)?

ziro4ka [17]

Answer:

B is the correct answer, as x - 2 in the exponent would move the graph to the right 2.

7 0

3 years ago