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3 years ago

Graph this equation y=3sin(2x-5)

Mathematics

1 answer:

OLEGan [10]3 years ago

6 0

Y = 3sin(2x - 5)
y = 3sin(2x - 5)

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Find the area of this trapezoid. Include the correct unit in your answer.

NemiM [27]

Answer:

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

$\displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h$

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

$\displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7$

simplify addition:

$\displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7$

simplify division:

$\displaystyle A _{ \text{trapezoid}} = 10\times 7$

simplify multiplication:

$\displaystyle A _{ \text{trapezoid}} = 70$

since we multiply two same units we of course have to use square unit

hence,

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

4 0

2 years ago

Triangle FGH is translated using the rule (x,y) > (x+3,y-1). What are the coordinates of H ?

Masteriza [31]

Answer: $H'(4,-3)$

Step-by-step explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.

In this case you know that the Pre-Image is the Triangle FGH.

You can identify in the picture that its vertex H has these coordinates:

$H(1,-2)$

Where:

$x=1\\y=-2$

Since the rule is:

$(x,y)$ → $(x+3,y-1)$

You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:

$H'=(1+3,-2-1)=(4,-3)$

7 0

3 years ago

Which expression represents the distance between -3 and 5 on the number line?

marta [7]

The expression that represents the distance between -3 and 5 on the number line is “-3-5”.

5 0

2 years ago

Read 2 more answers

What is???????????????

DanielleElmas [232]

Answer:

the product should be $-10 \frac{5}{16}$

Step-by-step explanation:

just multiply 2, and 1/16 by -5.

7 0

2 years ago

Harper's house is 30 feet wide and 45 feet long. On a scale drawing, the house is 4 inches wide and 6 inches long, and Harper's

hammer [34]

This is problem of ratio and proportion. to solve this, fisrt is calculate the convertion factor.
so the house is 30 feet in actual and 4 in wide on drawing
30 feet / 4 in = 7.5 feet / inso in every inch in the drawing is equivalent to 7.5 feet on actual.
1.2 in ( 7.5 ft/ in) = 9 ft
1.6 in ( 7.5 ft/ in) = 12 ft

8 0

3 years ago