Answer:

I think it’s 48 cm

Step-by-step explanation:

Area is length x width so 8 x 12 is 96 and since it is twice the slice of the smaller triangle, 96 divided by 2 is 48

3 0

3 years ago

What is the period of the function y = 2 sinx

DanielleElmas [232]

Answer:

The period is 360° ( in radians, the period is 2π)

Step-by-step explanation:

For a sine/cosine (sinusoidal) function in the form

y = ASin(Bx-C) + D, we can say

A is the amplitude

360/B is the period

C is the phase shift

D is the vertical translation

The function given is y = 2Sinx

To find the period, we need 360/B. Since "B" is just "1", the period is

360/1 = 360

5 0

3 years ago

Read 2 more answers

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?

scZoUnD [109]

Hat means y + z = 180.

y is thrice than z means y = 3 * z. 

replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. 

combine like terms to get 4 * z = 180. 

solve for z to get z = 180 / 4 = 45 degrees. 

since y = 3 * z, then y = 3 * 45 = 135 degrees. 

y = 135
z = 45 

y + z = 180 becomes 135 + 45 = 180
y = 3 * z = 135 = 3 *45 

solution is confirmed to be good.

3 0

3 years ago

Read 2 more answers

Which is the interval notation represent the domain?

Kazeer [188]

Answer:

The first choice, $(-\infty, 7) \cup (7, \infty)$ .

Step-by-step explanation:

The dashed vertical line is a vertical asymptote. The x-coordinate of all points on this vertical asymptote are equal to 7. In other words, when the x-value of a point on the graph approaches $7$ , its y-value approaches infinity (or negative infinity.)

Either way, the graph is not defined for $x = 7$ . The point $7$ should thus be excluded from the domain of the graph.

The graph is apparently defined for all other x-values. The domain of the function should thus be all real numbers with the exception of $x = 7$ . Here's how to write that in interval notation:

The set of all real numbers can be expressed as the interval $(-\infty, \infty)$ . Note that infinity $\infty$ (or $(- \infty)$ itself isn't a real number. The round brackets indicate that both endpoints are excluded from the from the interval.
The set of all real numbers less than (not equal to) $7$ is $(-\infty,7 )$ (both ends are excluded.) The set of all real numbers greater than (not equal to) $7$ is $(7, \infty)$ .
The set of all real numbers that is not equal to $7$ is the union of all real numbers less than $7$ and all real numbers greater than $7$ . The union operator $\cup$ connects two intervals.

In other words, the domain is $(-\infty, 7) \cup (7, \infty)$ .

5 0

3 years ago