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3 years ago

In the triangle below, 4/5 represents which ratio?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

8 0

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

Klio2033 [76]3 years ago

6 0

Answer:

Step-by-step explanation:

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Convert y =(x+1)(x-9) to vertex form

IgorC [24]

Answer:

y = (x - 4)² - 25

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

y = (x + 1)(x - 9) ← expand factors using FOIL, thus

y = x² - 8x - 9

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

y = x² + 2(- 4)x + 16 - 16 - 9

= (x - 4)² - 25 ← in vertex form

5 0

3 years ago

The sum of the two angles of a triangle is 80 degree and their difference is 20 degree. find all the angles of the triangle.

Norma-Jean [14]

Sum of 2 angles = 80°

Difference = 20°

If we take away 20° from the sum, both angles are equal

⇒80 - 20 = 60°

Divide by 2 to find the smaller angle:

60 ÷ 2 = 30

Add 20° to find the bigger angle:

20 + 30 = 50°

One of the angle is 30° and the other angle is 50°

Given that the sum of the two angles is 80°

⇒ Third angle = 180 - 80 = 100°

Answer: The 3 angles are 30° , 50° and 100°

3 0

3 years ago

Read 2 more answers

To convert 120 ounces to pounds which of

Novosadov [1.4K]

Answer:

7.5 pounds

Step-by-step explanation:

you divide 120 by 16 to get how many pounds is needed

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3 years ago

Read 2 more answers

Make, Dan, Ed, and summer played together on a baseball team. Mike’s batting average was 0.349, dan’s was 0.2, Ed’s was 0.35, an

Harrizon [31]

the highest batting average is of Ed's and that is 0.350 .

Step-by-step explanation:

Here we have , Make, Dan, Ed, and summer played together on a baseball team. Mike’s batting average was 0.349, dan’s was 0.2, Ed’s was 0.35, and sy’swas 0.299. We need to find Who had the highest batting average . Let's find out :

According to question we have following parameters as :

$Mike = 0.349\\Dan's=0.200\\Ed's=0.350\\Sy'swas=0.299$