All categories

3 years ago

The hypotenuse of a 30-60-90 triangle is 12. Find the shortest side length and the middle side length.

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

As hypotenuse is 12 cm, the shortest leg will be 6 cm while the longer leg will be 6√3 cm. All triangles of 30:60:90 are similar triangles; infinite such similar triangles are possible.

You might be interested in

The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta

max2010maxim [7]

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

$v = \frac{ds}{dt} = 6 sin(2t)$ m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

$\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3$

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

4 0

3 years ago

The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?

Ira Lisetskai [31]

Answer:

The distance from P to origin is approximately 40.82 units.

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

$(x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

Putting the values, we get,

$(21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}$

The distance from P to origin is approximately 40.82 units.

7 0

3 years ago

What is the solution to the equation –10.3+y = 5.2?

quester [9]

-10.3 + y = 5.2

First, regroup the terms. / Your problem should look like: $y - 10.3 = 5.2$
Second, add 10.3 to both sides. / Your problem should look like: $y = 5.2 + 10.3$
Third, add 5.2 + 10.3 to get 15.5 / Your problem should look like: $y = 15.5$

Answer: y = 15.5 (D)

5 0

3 years ago

Identify the mode of the number 16568

Lynna [10]

The answer is 6, this is because the first step is you put the numbers in order then you find the mode by seeing what number is the most

3 0

3 years ago

The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.

Alex

Answer:

180 CDs

Step-by-step explanation:

So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.

7 0

3 years ago