Simplify the trigonometric function

What is the scale factor in the dilation ? 1/6 1/3 3 6

anzhelika [568]

Answer:

3

Step-by-step explanation:

1) Find two corresponding lengths between the image and the pre-image

Pre-image (bottom side) = 3 units

Image (bottom side) = 9 units

We can use any corresponding lengths for this step.

2) Divide the length of the side from the image by the length of the side from the pre-image

9 units ÷ 3 units

= 3

Therefore, the scale factor of the dilation is 3.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Si la amplitud del complemento de un ángulo agudo es mayor, menor o igual que la del suplemento de un ángulo agudo. ¿podes respo

Harrizon [31]

Answer:

Dados dos ángulos vecinos, ambos son complementarios si la suma de sus medidas es igual a 90° y suplementarios si esa suma de medidas es igual a 180°. Puesto que uno de los ángulos es el ángulo agudo mencionado en el enunciado, es decir, un ángulo cuya medida es mayor que 0° y menor que 90°. Entonces, el ángulo complementario debe ser inevitablemente menor que el ángulo suplementario.

Step-by-step explanation:

Dados dos ángulos vecinos, ambos son complementarios si la suma de sus medidas es igual a 90° y suplementarios si esa suma de medidas es igual a 180°. Puesto que uno de los ángulos es el ángulo agudo mencionado en el enunciado, es decir, un ángulo cuya medida es mayor que 0° y menor que 90°. Entonces, el ángulo complementario debe ser inevitablemente menor que el ángulo suplementario.

5 0

3 years ago

Write an equation for a line parallel to y=3x-3 and passing through the point (4,15)

Andrews [41]

Hello!

To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.

This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.

In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.

Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.

y = 3x + b (substitute the ordered pair (4, 15))

15 = 3(4) + b (simplify)

15 = 12 + b (subtract 12 from both sides)

3 = b

Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.

8 0

3 years ago

Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground,

My name is Ann [436]

Answer: t = 3seconds

Step-by-step explanation:

To find the zero means we will equate the function to zero and then solve, that is

$-16t^{2}$ + 32t + 48 = 0

by factorizing , we have

(t+1)(-16t+48) = 0

Therefore:

t = -1 or t = 3

since time can not be negative , then , t = 3 seconds

5 0

3 years ago

Read 2 more answers

Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

AleksAgata [21]

Combination = doesn't matter what order
Permutation = order matters

There are two methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

$\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35$

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)

7 0

4 years ago