All categories

2 years ago

Find the missing side lengths the triangle is 30-60-90

Mathematics

1 answer:

trapecia [35]2 years ago

7 0

Answer:

y= 4

x=8

Step-by-step explanation:

30-60-90 rule. the side opposite of 30 degrees is y, the side opposite of 90 degrees is 2y, and the side opposite of 60 degrees is y $\sqrt{3}$ . since 4 is next to the square root that makes it y. y = 4 and 2y= 8.

You might be interested in

How many square inches of tin are needed to make the top of a can that is 10 inches in diameter? A) 62.8 in2 B) 78.5 in2 C) 227

Xelga [282]

Area of a circle = PI*radius^2
10 inch diameter = 5 inch radius
Area = PI* 5^2
Area = 78.5398163397 
Answer is B)

8 0

3 years ago

Read 2 more answers

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

5 0

3 years ago

How I do circumference and area

Artist 52 [7]

You multiply 3.14 by the diameter or 2 times the radius
for area you do pi or 3.14*radius squared

3 0

3 years ago

An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centi

Vlada [557]

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

6 0

3 years ago

Need help, please explain the answer

Mkey [24]

Answer:

Step-by-step explanation:

U have to multiply 49 by 49 and then subtract 9

4 0

3 years ago