All categories

3 years ago

Find the trigonometric ratio and write answer as simplified fraction

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

4 0

<h3>Answer: 3/5</h3>

Explanation:

For angle A, the side furthest from here is BC = 15. This is the opposite side for this reference angle.

The hypotenuse is AC = 25, which is the longest side of any right triangle (always opposite the 90 degree angle).

The sine ratio involves dividing the opposite over hypotenuse.

So,

sin(angle) = opposite/hypotenuse

sin(A) = BC/AC

sin(A) = 15/25

sin(A) = (3*5)/(5*5)

sin(A) = 3/5

You might be interested in

What is the tangent of < A ?

makvit [3.9K]

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .

4 0

3 years ago

Tell whether the ratios form a proportion.<br><br> 2/5,40/16

lisabon 2012 [21]

Answer:

No, those ratios are not proportional.

Step-by-step explanation:

The reason for them not being proportional is because 2/5 is already in its simplest form and 40/16 in its simplest form is 5/2, resulting in them not being equivalent meaning that they are not proportional.

5 0

3 years ago

Find the equation of a line, in slope intercept form of a line that passes through the point (9,2) and is perpendicular to the l

son4ous [18]

Answer:

the first one is correct ive T a k e n this testing.

Step-by-step explanation:

7 0

3 years ago

Can someone help answer and explain to me how to solve this? log (lowercase 6) 1/36

MissTica

Answer: The log simplifies to -2

-------------------------------------------
-------------------------------------------

Explanation:

We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.

Another log rule that we will use is $\log_x\left(x\right) = 1$ where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.

Because 36 = 6^2, this means that 1/36 = 6^(-2)

-------------

So,

$\log_6\left(\frac{1}{36}\right)=\log_6\left(\frac{1}{6^2}\right)$

$\log_6\left(\frac{1}{36}\right)=\log_6\left(6^{-2}\right)$

$\log_6\left(\frac{1}{36}\right)=-2*\log_6\left(6\right)$ Use log rule 1 (see above)

$\log_6\left(\frac{1}{36}\right)=-2*1$ Use log rule 2 (see above)

$\log_6\left(\frac{1}{36}\right)=-2$

This means that the given expression simplifies to -2

You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer

6 0

4 years ago

Read 2 more answers

The measure of ⏜ is 161°, and the measure of ⏜ is 107°.<br><br> What is the measure of ∠ ?

MrRa [10]

Answer:

m<AEB = 46°

Step-by-step explanation:

Given:

Arc AD = 161°

Arc BC = 107°

Required:

m<AEB

Solution:

Vertex angle = ½(sum of intercepted arcs) => Theorem for angle inside a circle and its intercepted arcs)

This:

m<AED = ½(AD + BC)

m<AED = ½(161 + 107) => Substitution

m<AED = ½(268) = 134°

✔️m<AEB = 180° - m<AED => Linear pair theorem

m<AEB = 180° - 134° => substitution

m<AEB = 46°

6 0

3 years ago