ing a Reflection in the
Coordinate Plane continued
Triangle XYZ is reflected across the y-axis to form
figure

help

Answer:

4π ft.

Step-by-step explanation:

Area = π r^2 = 4π =  π2^2

- so the radius  is 2 ft,

and the circumfrence = 2 π r

= 2*π*2

= 4π  ft.

The circumference of the circle is 4π feet.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The formula for the area A of a circle with radius r is given by:

A = πr²

We are given that the area of the circle is 4π ft², so we can set up the following equation:

4π = πr²

Dividing both sides by π, we get:

r² = 4

Taking the square root of both sides, we get:

r = 2

The circumference C of a circle with radius r is given by:

C = 2πr

Substituting r = 2, we get:

C = 2π(2) = 4π

Therefore,

The circumference of the circle is 4π feet.

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Answer:

8

Step-by-step explanation:

Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.

AB=CD

First, an angle in a triangle is always less than 180.

An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.

Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)

Now, we find x : (90-30)/4 = 15

So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)

Answer: g < 5

5 is the amount of gigabytes

Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:

3g + 45 ≤ 60.

where,

"g" represents the number of gigabytes used.

$3 is the cost per gigabyte.

$45 is the flat monthly cost.

$60 is the maximum budget.

Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.

He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.

The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.

Hence, the inequality is 3g + 45 ≤ 60.

Now, solve for g:

45 + 3g ≤ 60

Subtract 45 from both sides:

3g ≤ 15

Divide both sides by 3:

g ≤ 5

So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

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#b

[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]

[tex]\\ \rm\rightarrowtail b=21tan47[/tex]

[tex]\\ \rm\rightarrowtail b=22.5[/tex]

#c

[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]

[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]

[tex]\\ \rm\rightarrowtail c=30.88[/tex]

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

Answer:

D.

Step-by-step explanation:

Momentum(p) is Mass(m) times Velocity(v) or p = mv

The results of the calculations are attached.  0.4 kg at 2 m/s has the most momentum:  0.8 kg*m/s

The table of attendees in the family reunion is a linear regression

To do this, we represent the years on the x-axis and the attendees on the y-axis

See attachment for the scatter plot

The scatter plot passes through the points

(0, 112) and (5, 136.5)

Start by calculating the slope, m using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (136.5 - 112)/(5 - 0)

m = 4.9

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 4.9 * (x - 0) + 112

y = 4.9x + 112

Hence, the equation of the line of best fit is y = 4.9x + 112

This means that x = 15.

So, we have:

y = 4.9 * 15 + 112

Evaluate

y = 186

Hence, 186 attendees are expected in the 15th year

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Answer:

i dont lnow the language sorry

Step-by-step explanation:

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

Answer:

68 degrees.

Step-by-step explanation:

A right angle is 90 degrees. If you subtract 90-22 you will get 68.

Here is how it is graphed:

Answer:

241.5

Step-by-step explanation:

First add all your numbers togather

17 + 18 + 15 + 19

= 69

THEN..

Multiply by 7

= 69 × 7

= 483

After that divide it by 2..

483 ÷ 2

= 241.5

Answer:

5.4 units

Step-by-step explanation:

From the figure ,it's clear that   sin(50) = PQ/7

Then

PQ = 7×sin(50) = 5.362311101833

Therefore the approximate length of PQ I saw 5.4

Answer:

152 inch

Step-by-step explanation:

The dimensions of tha coffee table are .

The perimeter of a rectangle is defined as , where  is the length and  is the width.

So, by given we have

If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have

The perimeter of the coffee table is 152 inches.

Step-by-step explanation:

S=4LW+2WH

160=4(9)(4)+2(4)H

160 = 144 + 8H

160- 144 = 144 - 144+8H

16 =8H

16/8H = 8H/8

H=2

Answer:

Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)

Given:

⇒ perimeter = 2(-3x + 1) + 2(2x - 5)

                     = -6x + 2 + 4x - 10

                     = -2x - 8

Answer:

slope: 1/3

Explanation:

[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex]    where (x1, y1), (x2, y2)

Solve for slope:

insert values

[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]

remove brackets

[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{2}{6}[/tex]

final answer

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer:

the slope of the line passing through (-3,0) (3,2) is 1/3

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13

Using the equivalence concept, it is found that the correct option is given by:

a the expressions have the same value for any value of y.

Two expressions are said to be equivalent if for the same input, they have the same value.

In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.

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Step-by-step explanation:

I take it this is meant to be a multiplication, right ?

not a "function of function", which would be symbolized by a little empty circle.

to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.

(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =

= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =

= -2x⁴ - 32x³ - 82x² + 308x

We will see that the distance between the home and the school is 0.5 miles.

We know that they meet in school after 10 minutes.

So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).

This will be:

3 miles per hour *10 minutes.

Note that the units are different, so we write 10 minutes in hours.

1 hour = 60 min.

(1/ 60) hour/min = 1.

Then:

10 min = 10 min*(1/ 60) hour/min = 0.167 hours.

Now we can find the distance to their school as:

D = 3 mi/h*0.167 h = 0.5 miles.

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Answer:

2.5 miles

Step-by-step explanation:

big brain

Answer:

its SAS because u can look at the triangle by the sides and angle

Step-by-step explanation: mark brainliset

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

The period of a sine function is equal to the 2π and it repeats after each 2π units.

The  sine model can be given as,

[tex]y = a\sin(bt) +k[/tex]

The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,

[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]

The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,

[tex]k=30[/tex]

The blades are 10 feet long. Thus,

[tex]a=10[/tex]

Put these values in the above formula as,

[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

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Answer:

B

Step-by-step explanation:

Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.

Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]

Answer:

x<-11.25

Step-by-step explanation:

you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.

Answer:

x < -45/4 or it can be written as ( -infinity, -45/4 )

Step-by-step explanation:

12x - 3 < -138

12x < -135

x < -45/4

or x < -11.25

Answer:

330.05

Step-by-step explanation:

because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05

The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions

Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

The function is given as:

P(x) = -65(x - 4)² + 1000

At zero profit, P(x) = 0

So, we have:

-65(x - 4)² + 1000 = 0

From the graph of the function (see attachment), we have:

x = 0.078 and x = 7.922

Hence, the prices that give zero profit are 0.078 and 7.922

To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit

We have:

P(x) = -65(x - 4)² + 1000

A quadratic function is represented as:

P(x) = a(x - h)² + k

Where:

Vertex = (h,k)

So, we have:

h = 4 and k = 1000

Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

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Answer:

hey there!

Step-by-step explanation:

your answer should be the first one (0,4 and 2,0)

hope its help yayayayayou