Does anyone know how to do this?

mamaluj [8]

Answer:

4√3

Step-by-step explanation:

Use the acronym SOH CAH TOA and pick your angle. Im gonna pick the 30 degree angle. From the 30 degree angle, the x side is the hypotenuse, and the 2√3 is the opposite. I need to find H and O, which is the SOH part of my acronym.

Therefore Sin 30 = O/H. Then SIN 30 = 2√3/x.

We multiply both sides by x ⇒ x × sin 30 =2√3

Lastly we divide by sin 30. x = 2√3/ sin 30

We know that sin 30 is 1/2.

2√3 ÷ 1/2 (keep change flip) ⇒2√3 ×2 ⇒4√3

Sin 30 is equal to

8 0

3 years ago

Fine area in triangle.

choli [55]

Answer:Area of triangle is 18cm2
There is a dotted line to show us how to do,we know the dotted means we don’t actually work that part out.
1. The bottom added together = 11,now : (11x6) ÷ 2 = 33cm2.
2.The part where there is a dotted triangle: (6x5) ÷ 2 = 15cm2.
3. 33 - 15 = 18.

3 0

2 years ago

A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses: 17, 8, 19, 9, 15

never [62]

Answer:

13.6 hours

Step-by-step explanation:

To find the mean you first add all the numbers together, in this case 68. Then you have to divide this by the number of scores you added, which is 5. So 68/5= 13.6

5 0

3 years ago

You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in

lilavasa [31]

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = $\frac{length on a drawing}{actual length}$

scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

$\frac{14}{4}$ = 3.5 inches

$\frac{18}{4}$ = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

$\frac{6}{4}$ = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

6 0

4 years ago

Find the 8th term of the sequence whose common ratio is 1/3 and whose first term is 3

Anton [14]

Answer:

The 8th term is $\frac{1}{729}$ .

Step-by-step explanation:

Let's begin with the formula for a geometric sequence. We know this is geometric because we are working with a common ratio, or the number we multiply to find each term.

$a_n=a_0(r)^{n-1}$

In this formula, $a_0$ is the first term, $r$ is the common ratio, and $n$ is the desired term. We know the values of $r$ , $a_0$ , and $n$ from the given information:

$a_0=3\\r=\frac{1}{3}\\n=8$

Substituting those values we get:

$a_8=3(\frac{1}{3})^{8-1}$

$a_8=3(\frac{1}{3})^7\\a_8=3(\frac{1}{2187})\\a_8=\frac{3}{2187}\\a_8=\frac{1}{729}$

5 0

2 years ago