The pre-image of pentagon PENTA is rotated 90° clockwise about the origin to create the image of pentagon P'ENTA. Which statement is true?



A. The sum of the angle measures of pentagon PENTA are less than the sum of the angles measures of pentagon P'ENTA

B. After the rotation has been completed, all of the coordinates of the image will be in Quadrant

C. Each side length of pentagon P'ENTA' is twice as long as each corresponding side length of pentagon PENTA.


D. The area of pentagon PENTA is the same as the area of pentagon P'E'NTA​

Answer:

plug n and r into the equation for the answers.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Based on the given conditions;

50÷(1-15℅)

=50/1-0.15

=50/0.85

=1000/17

The confidence interval for the proportion of millennials that care about Jobs/Economy is (0.22, 0.28).

The term confidence interval refers statistical measure used to indicate the range of estimates within which an unknown statistical parameter is likely to fall.

Here we have given that Jobs/Economy 25%, Immigration 17%, Healthcare 16%, Education 16%, Environment 12%.

And we need to find the confidence interval for the proportion of millennials that care about Jobs/Economy.

As per the formula of confidence interval,

CI = x ± Z× s/√n

CI = 25 ± 1.9600 × 0.03/ √50

CI = 25 ± 0.00832

When we simplify this one then we get the confidence interval for the proportion of millennials that care about Jobs/Economy as

=> (0.22, 0.28)

Therefore, option (3) is correct.

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9514 1404 393

Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  \(e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}\)

Answer:

Since the equations involve functions and their derivatives, we might bet- ter call them  If this rate were to persist for 20 years (= 240 months), R would have increased by  similar to equation (1) when the number of rabbits R is near 2000, but which The fox population increases at a rate proportional to the number of.

Step-by-step explanation:

i think this it

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

5 percent or 5.7349percent

divide 43209 by 45687 and get 1.0573491 subtract one

and get 0.0573491 make into a percentage 5.7percent depending on where you need to round.

(a) 2x+4(x-1)=2

2x+4x-4=2---- Distrubution of 4(x-1)

6x-4=2---- Combining like terms

6x=6---- Making -4 equal 0 by adding +4 to both sides

x=1---- Divide the coefficiant (6)

(b) 25-x=15-(3x+10)

25-x=15-3x-10----Distribute the -1

25-x=5-3x---- Combine like terms

25=5-2x---- Make -x equal 0 by adding +x to both sides

20=-2x---- Make 5 equal zero by subtracting 5 (or adding -5) to both sides

-10=x---- Divide by the coefficiant (-2)

(c) 4x= 2x+2x+5(x-x)

4x=2x+2x+5(0)---- Distribute. Alright this might look hard but realy it is 1x-1x so the answer is 0

4x=2x+2x---- 5 times 0 is 0

4x=4x---- Combine like terms

x=x ---- divide by the coefficiant

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

\( \sqrt{2^5} \)

Step-by-step explanation:

First, deal with the product of the two powers of 2 inside the parentheses.

The two factors are powers of 2, so add the exponents.

\( (2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})^2 = \)

\( = (2^{\frac{1}{2} + \frac{3}{4}})^2 \)

You need a common denominator, 4, to add the fractions.

\( = (2^{\frac{2}{4} + \frac{3}{4}})^2 \)

\( = (2^{\frac{5}{4}})^2 \)

Now you have an exponent raised to an exponent. Multiply the exponents and reduce the fraction.

\( = 2^{\frac{5}{4} \times 2} \)

\( = 2^{\frac{10}{4}} \)

\( = 2^{\frac{5}{2}} \)

When a fraction is an exponent, the numerator is an exponent and the denominator is the index of the root. A denominator of 2 means a root index of 2 which means square root.

\( = \sqrt{2^5} \)

Answer: x² + 3x - 10

Step-by-step explanation:

(x + 5)(x - 2)

Distribute:

x² - 2x + 5x - 10

Combine like terms:

x² + 3x - 10

Hope this helps!

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

is super easy Step-by-step explanation Do you?

Answer:

x*9 = 3

that's all

=)

Answer:

x*9=3

Step-by-step explanation:

Atleast I think so

Answer:

8 ( 6 m 5^ + n 2^ )

Answer:

8( 6m^5 + n^2)

Step-by-step explanation:

48m^5+8n^2

Factor out 8

8* 6m^5 + 8 * n^2

8( 6m^5 + n^2)

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

Step-by-step explanation:

Confidence interval measures the degree of uncertainty and certainty and comprises a range of values that might contain an unknown population parameter. A 99% confidence interval means we can expect that 99% of the 18 samples taken contains the parameter mean values between the upper and the lower bound values from the data collected from the 18 CEOs.

Replace h in the equation with 21 hours and solve for d:

D = 8/6(21) + 4 1/2

D = 28 + 4 1/2

D = 32 1/2

As a decimal: 32.5

The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.

Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.

In order to determine the time, multiply 3.1 miles by 8 minutes

3.1 x 8 = 24.8 =  24 minutes 48 seconds.

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Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer:

Step-by-step explanation:

a. Yes, the following statement is true. The police officer is gathering data by writing down all the speeding tickets and seperating them into two categories, red and non-red cars. He can later analyze this data and compare them to determine whether or not his hypothesis is true.

b. The color of the car is the only variable that would not be a confounding variable in this scenario. This would instead be the independent variable and does not in any way affect the dependent variable which would be the number of speeding tickets received.

Answer:

The unknow number is 5.

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

1. To solve, first wrote it into an equation. Also, the letter x will stand for the unknown number.

4 + 7 = 11

11 + x = 16

2. Isolate the varable by subtracting 11 from both sides of the equation.

11 + x = 16

- 11 - 11

x = 5

The unknow number is 5.

Check:

11 + 5 = 16

16 = 16

True statement.

Answer:

Its 9^-9

Step-by-step explanation

Because 9^-3 is on top, you have to take it to the bottom - this makes it positive. Now you have 1/(9^3*9^6). This give you 1/9^9 - or in other words 9^-9

By using the fact that the interior angles of a triangle must add up to 180, we will see that the value of x is 15.

Here we have 3 expressions for the measures of the interior angles of a triangle.

Now, remember that the sum of the interior angles of a triangle is always equal to 180°, then we can write:

(8x - 7)° + (x + 7)° + (2x + 15)° = 180°

Ignoring the degrees and solving this for x, we get:

8x - 7 + x + 7 + 2x + 15 = 180

11x + 15 = 180

11x = 180 - 15 = 165

x = 165/11  =15

The value of x is 15.

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