All categories

3 years ago

What is the value of y? Enter your answer, as an exact value, in the box.

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

Answer:

y=4√3 units

Step-by-step explanation:

Hi there!

We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y

We need to find the value of y (BC)

The side AB is the hypotenuse of the (the side opposite from the right angle).

BC is a leg, which is a side that makes up the right angle.

Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to $\frac{a\sqrt{3}}{2}$ , where a is the length of the hypotenuse

Since we have the hypotenuse given as 8, the length of BC (y) is $\frac{8\sqrt{3}}{2}$ , or 4√3

so <u>y=4√3 units</u>

Hope this helps!

You might be interested in

Nisha collects comic books, and she convinced her friend Hakim to start collecting as well. Every week, they go to the store tog

andreyandreev [35.5K]

By using the given table, we will get the linear equation:

h = n - 9

<h3>How to find the equation for Hakim?</h3>

We know that they always get comic books together, so always that Nisha's collection increases by one, Hakim's collection will also increase by one, so we will have a linear equation.

Now, if you look at the given table, you can see that Hakim's collection is always 9 units less than Nisha's collection, then the linear equation that models the relation between the two collections, h and n, is really straightforward, it will be:

Hakim's collection = Nisha's collection - 9

Using the variables, we get:

h = n - 9

That is the linear equation Hakim wanted.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

6 0

1 year ago

Help brainliest if right

kondor19780726 [428]

Answer:

y = 1x + 7

Step-by-step explanation:

<u>The equation formula for this scenario is y = mx + b</u>

m = slope

b = y-intercept

To find the slope, pick two points. I picked (2,9) and (4,11).

Subtract 11 from 9, you'll get 2.

Subtract 4 from 2, you'll get 2.

2/2 equals 1. The slope (m) = 1

To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.

The equation is: y = 1x + 7

3 0

3 years ago

What is the area of the right triangle shown?

prisoha [69]

The 30:60:90 proportion is 1:sqrt 3: 2

So,

x = 10/2
x = 5

y = 10/sqrt 3

Finding the area:

1/2 * 5 * 10/sqrt 3
25/sqrt 3

Hope this helps!

3 0

3 years ago

A group of 11 students have a mean average spelling test score of 7. Another student had a score of 8. What is the mean score of

Elena L [17]

Answer:

7.083

Step-by-step explanation:

7 0

2 years ago

Consider the set T = {1, 2, 3, 4, 5, 6}. Let R = {(a, b) | a divides b} be a relation on the set T. Identify the missing ordered

serg [7]

Answer: The missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation: We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

4 0

3 years ago