Find the fifth roots of 32(cos 280° + i sin 280°)

Answer:

Step-by-step explanation:

11 hours: 3 days

11 hours: 72 hours

Answer: [tex]m\angle6=50\°[/tex]

Step-by-step explanation:

You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.

The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).

Therefore, you know that:

[tex]m\angle3+m\angle6=180\°[/tex]

So you can substitute m∠3=130° and solve for m∠6. Then you get:

[tex]130\°+m\angle6=180\°\\m\angle6=180\°-130\°\\m\angle6=50\°[/tex]

Answer:

The correct answer is m<6 = 50°

Step-by-step explanation:

From the figure we can see that,

AB ║CD

To find the value of m<6

From figure we get, m<3  = 130°

m<6 = m<2 (corresponding angles)

m<3 + m<2 = 180°   (Linear pair)

m<2 = 180 - 130 = 50°

m<6 = m<2 = 50°

Therefore the correct answer is m<6 = 50°

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x < -1

The solution is the interval ----> (-∞,-1)

All real numbers less than -1

On a number line the solution is the shaded area at the left of x=-1 (open circle)

using a graphing tool

see the attached figure

Answer:

Step-by-step explanation:

Trying to help everyone!

Answer:

2x^2

Hope This Helps!   Have A Nice Day!!

Answer:

168.6 in

Step-by-step explanation:

Use the formula for circumfrence

[tex]2\pi \: r[/tex]

Plug in 26.85 as the radius and solve. Remember to use 3.14 instead of the pi key.

Answer:

63%

Step-by-step explanation:

The percentage of perfect attendance students can be represented by [tex]\frac{57}{190}[/tex]

Now we can simplify this and convert it to a percent.

[tex]\frac{57}{190} =0.3[/tex]

0.3 = 30%

Answer:

30%

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

64 spaces. 18 empty

64 - 18 = 46

Final answer:

Jill currently has 46 stamps in her stamp book. For Jenny, the calculations show that if Lisa ended up with 6 chocolates, which is half of the remainder, then Jenny must have started with 14 chocolates initially.

Explanation:

To find out how many stamps Jill has now, we subtract the number of stamps she needs from the total capacity of the stamp book. If the stamp book has space for 64 stamps and Jill needs 18 more stamps to fill it, then:

Total stamp space in the book = 64

Stamps needed to fill the book = 18

Stamps Jill has now = Total stamp space - Stamps needed to fill the book

Stamps Jill has now = 64 - 18

Stamps Jill has now = 46 stamps

Therefore, Jill currently has 46 stamps in her stamp book.

Now, for Jenny's chocolates:

If Lisa has 6 chocolates, which is half of the remainder after Jenny ate two, we can calculate the original number of chocolates Jenny had. Since Lisa has 6, the remainder before Lisa received them was 12 (because 6 is half of 12). Therefore, if Jenny ate 2 chocolates before giving half to Lisa, she initially had:

Chocolates after eating 2 = 12 (remainder)

Chocolates before eating = 12 + 2

Chocolates Jenny had initially = 14

So, Jenny had 14 chocolates in the beginning, which is answer C. 14.

Answer:

Surface Area of cylinder = 251.2 ft ^2

Step-by-step explanation:

The formula used to find the surface area of cylinder is:

Surface Area of Cylinder = 2πr²+ 2πrh

We are given: π = 3.14

r = 4 ft

h = 6 ft

Putting values:

Surface Area of Cylinder = 2πr²+ 2πrh

Surface Area of cylinder = 2* 3.14 * (4)^2 + 2*3.14*4*6

Surface Area of cylinder = 100.48 + 150.72

Surface Area of cylinder = 251.2 ft ^2

So, Surface Area of cylinder = 251.2 ft ^2

Answer:  [tex]\bold{A)\quad y=3\ cos\bigg(x-\dfrac{\pi}{2}\bigg)+3}[/tex]

Step-by-step explanation:

[tex]\text{The standard form of a cosine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

In the graph,

[tex]\implies \large\boxed{y=3\ cos\bigg(x-\dfrac{\pi}{2}\bigg)+3}[/tex]

see graph below as verification

Answer:

The answer are B and C

Step-by-step explanation:

-5² + 50 = 25

 |2 x 5| = 10

answer

everything but A so,

B C D E

let the original price be x.

then,

x- 25% of x= 24

x- 25x/100 = 24

x-   x/4=24

3x/4=24

3x= 96

x= 32

in short...the original price= 32 dollars

Answer:

The purpose of the the bar diagram is to show the difference between the heights of female and male giraffes, in other words, the bar diagram needs to be able to show how much one value is more or less than the other value.

The height of the males can reach 5.5 meters, and the females' height will only reach 4.3 meters, therefore, we can see that the height of the males are larger than the height of the females, so the equation to find the difference in the heights should be: 5.5 - d = 4.3 (or any other way around).

From that, we know that the height of the males is d meters more than the height of females or the height of the females is d meters less than the height of the males.

*hope this help you

Answer:

The numbers are in the wrong places in the diagram. 5.5m should be in the top bar diagram and 4.3 in the bottom. One equation could be 4.3 + d = 5.5.

Step-by-step explanation:

Sample response from Edgunity! Hope this helps, good luck on your assignment :)

-To simplify fractions.

Ex. (2x+10)/2 we factor 2 to simplify so 2(x+5)/2=x+5

Answer:

Step-by-step explanation:

Factoring a polynomial is one important way to find the roots (or x-intercepts) of the polynomial.  It's not always the easiest method, particularly when the roots are mixed numbers.

If you take calculus later, you'll see that finding the derivative of a function, setting this derivative = to 0 and solving for the roots is one way in which we can identify the x-value(s) at which we have either a maximum or a minimum.

Answer : 42

If the shoes were marked up by 5% then:

5 ÷ 100 × 40 = $2

Add the $2 to the $40 and you'll get:

$40 + 2 = $42

Answer:

Part 1) The volume is 0.276556 m³

Part 2) The volume is 276.556 l

Part 3) The volume is 16,886.94 in³

Part 4) The volume is 9.68 ft³

Step-by-step explanation:

A rectangular solid measures 4.9 m by 8.3 cm by 6.8 dm

Part 1) Express its volume in cubic meters

Convert the measures to meters

Remember that

1 m=100 cm

1 m=10 dm

4.9 m

8.3 cm=8.3/100=0.083 m

6.8 dm=6.8/10=0.68 m

Find the volume

V=4.9*0.083*0.68=0.276556 m³

Part 2) Express its volume in liters

Convert the measures to liters

Remember that

1 m³=1,000 l

we have

V=0.276556 m³

so

Convert to liters

0.276556 m³=0.276556*1,000=276.556 l

Part 3) Express its volume in cubic inches

Convert the measures to inches

we have

4.9 m, 0.083 m, 0.68 m

Remember that

1 m= 39.3701 in

so

4.9 m=4.9*39.3701=192.91 in

0.083 m=0.083*39.3701=3.27 in

0.68 m=0.68*39.3701=26.77 in

Find the volume

V=192.91*3.27*26.77=16,886.94 in³

Part 4) Express its volume in cubic feet

Convert the measures to feet

we have

4.9 m, 0.083 m, 0.68 m

Remember that

1 m=3.28084 ft

so

4.9 m=4.9*3.28084=16.08 ft

0.083 m=0.083*3.28084=0.27 ft

0.68 m=0.68*3.28084=2.23 ft

Find the volume

V=16.08*0.27*2.23=9.68 ft³

Answer:

The coordinates of M are (2,-8)

Step-by-step explanation:

The coordinates of the point that divides the line segment joining

[tex]A(x_1,y_1)[/tex] to [tex]B(x_2,y_2)[/tex] in the ratio m:n is given by:

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.

Then

[tex](\frac{3(4)+1(-4)}{3+1},\frac{3(-10)+1(-2)}{3+1})[/tex]

[tex](\frac{8}{4},\frac{-32}{4})[/tex]

The coordinates of M are (2,-8)

To find point M that divides segment AB in a 3:1 ratio, we apply the section formula with m=3 and n=1. The coordinates of point M, given A (-4,-2) and B (4, -10), are found to be (2, -8).

To find the point M that divides the segment AB into a ratio of 3:1, where point A is at (-4,-2) and point B is at (4, -10), we can use the section formula.

This formula allows us to calculate the coordinates of point M that divides AB in the given ratio.

The section formula in two dimensions for a line divided internally in the ratio m:n is given by:

M(x,y) = ((mx2 + nx1)/(m + n), (my2 + ny1)/(m + n))

In this problem, m=3 and n=1, point A (-4,-2), and point B (4, -10). We can substitute these values into the formula:

M(x,y) = ((3*4 + 1*(-4))/(3 + 1), (3*(-10) + 1*(-2))/(3 + 1)) = (8/4, -32/4) = (2, -8)

Therefore, the coordinates of point M are (2, -8).

Answer:

r=9

Step-by-step explanation:

We can use the Pythagorean to solve, since this is a right triangle

The leg lengths are r and 12

The hypotenuse is (r+6)

a^2 + b^2 = c^2

r^2 + 12^2 = (r+6)^2

Foiling out the right hand side

(r+6)(r+6_ = r^2+6r+6r+36

r^2 +144 = r^2 +12r+36

Subtracting r^2 from each side

r^2-r^2 +144 = r^2-r^2 +12r+36

144 = 12r+36

Subtract 36 from each side

144-36 = 12r+36-36

108 = 12r

Divide each side by 12

108/12 = 12r/12

9=r

AC=AB+BC

AC=6+r

AD=12

DC=r

by Pythagorus theorem

AC*2=AD*2+DC*2

(6+r)*2=12*2+r*2

36+12r+r*2=144+r*2

12r+r*2-r*2=144-36

12r=108

r=108/12

r=9

Answer: second option.

Step-by-step explanation:

The formula for calculate the area of a square is:

[tex]A=s^2[/tex]

Where "s" is the lenght of any side of the square.

You know that the square grass field is 75 meters long and they plan to reduce the side lengths of the grass field by 5 meters each week and the number of weeks is "t", then, the area after "t" weeks will be:

[tex]A=[s_{original}-(s_{eliminated})(number\ of\ week)]^2[/tex]

Substituting you get that the function that can be used to calculate the area of the grass field, "A" after "t" weeks is:

[tex]A=(75-5t)^2[/tex]

This matches with the second option.

Answer: 15.71 is it when using 3.14 as the pi substitute

Step-by-step explanation:

The arc is simply the length of its portion of a circumference. Because its half of a circle, we can just find the circumference of the circle and divide it by 2.

C = 2 * 3.14 * radius/2 (because semi circle)

= 15.71

Answer:

47.45 cm³

Step-by-step explanation:

Radius

= 10 ÷ 2π

= 5/π

Volume

= π(5/π)²(6)

= 150/π

= 47.45 cm³

Answer:

The expression is (40 − 2x)(32 − 2x)x ⇒ answe A

Step-by-step explanation:

* Lets study the information of the problem

- The rectangular piece of cardboard has dimensions 40 inches

  and 32 inches

- A square of side length x is cutting from each corner

- That means we cut x from each sides of length and width,

 x from left corner and x from right corner

∴ The new length = 40 - x - x = 40 -2x

∴ The new width = 32 - x - x = 32 - 2x

* Now when we fold the cardboard to make the box we will stick

 the sides of length x together to make the heights of the box

∴ The height of the box = x

- The volume of the box = area of its base × its height

∵ The length of the base is (40 - 2x)

∵ The width of the base is (32 - 2x)

∴ The area of the base = (40 - 2x)(32 - 2x)

∵ The height of the box is x

∴ The volume of the box = (40 - 2x)(32 - 2x)x

* The expression which represent the volume is (40 − 2x)(32 − 2x)x

- The attached picture will help you to understand

Final answer:

The answer explains the graph of y=x+1.5, a direct relationship with a positive slope, and the graphical representation of the dependence of y on x.

Explanation:

Mathematics: The graph represents the rule y=x+1.5, showing a straight line with a positive slope where the y-intercept is 1.5. As x-values increase, the line gradually rises on the graph.

Direct Relationship: The line's slope remains the same, indicating a direct relationship between x and y.

Slope and Graphical Representation: By connecting points like (1,5), (2,10), (3,7), and (4,14), the dependence of y on x can be graphically illustrated.

Answer: 5 1/4=21/4

Step-by-step explanation:

3 3/4 +1 1/2

Need to find the common denominator for  1 1/2

Multiply by 2 for denominator and numerator for 1 1/2

=3 3/4+ 1 2/4

=4 6/4

= 5 2/4

= 5 1/5

Even though there is no multiple choice. I still know the answer.

For this case we must find an expression equivalent to:

[tex]3 \frac {3} {4} +1 \frac {1} {2}[/tex]

We have to:

[tex]3 \frac {3} {4} = \frac {4 * 3 + 3} {4} = \frac {15} {4}\\1 \frac {1} {2} = \frac {2 * 1 + 1} {2} = \frac {3} {2}[/tex]

Rewriting the expression:

[tex]\frac {15} {4} + \frac {3} {2} = \frac {2 * 15 + 4 * 3} {8} = \frac {30 + 12} {8} = \frac {42} { 8} = \frac {21} {4}[/tex]

If we convert to a mixed number we have:

[tex]5 \frac {1} {4}[/tex]

ANswer:

[tex]5 \frac {1} {4} = \frac {21} {4}[/tex]

Volume of a cylinder = area of base x altitude.

[tex]\pi r^{2} h[/tex]

So, pi times radius squared times height.

3.14x[tex]r^{2}[/tex]x2

3.14x9x2

The answer is 56.52

Answer:

the answer is 18pi.

I hope this helps

Answer:

.446153846

Step-by-step explanation:

Well, 29/5 is 5.8. We have to divide 5.8 by 13 since tehre are 13 beads.

Answer:

Step-by-step explanation:

Tangents from an external point are equal. This can be used to find the perimeter

Perimeter = 22+22+22+22+27+27+98+98

= 338 in.

NOT 169.

Answer:

see explanation

Step-by-step explanation:

(3)

Given cosΘ = - [tex]\frac{4}{5}[/tex]

Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )

Since Θ in second quadrant then sinΘ > 0

sinΘ = [tex]\frac{3}{5}[/tex]

Using the trigonometric identity

sin2Θ = 2sinΘcosΘ, then

sin2Θ = 2 × [tex]\frac{3}{5}[/tex] × - [tex]\frac{4}{5}[/tex] = - [tex]\frac{24}{25}[/tex]

(4)

Using the trigonometric identity

cos(x - y) = cosxcosy + sinxsiny

note cos15° = cos(45 - 30)°

cos(45 - 30) = cos45cos30 + sin45sin30

                    = ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex]) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex])

                    = [tex]\frac{\sqrt{2(\sqrt{3}+1) } }{4}[/tex]

This is a problem of permutations. In this case, with 15 diamond pendants and selecting 4 at a time, there are 32,760 ways to select and arrange these pendants.

This question is about permutations of a set of objects. A permutation is an arrangement of objects in a specific order. The number of permutations of n distinct objects taken r at a time, denoted by P(n, r), can be calculated as: n! / (n-r)! where the '!' symbol represents a factorial, the product of all positive integers less than or equal to the number.

In this case, the jeweler has 15 diamond pendants (n=15) and is selecting and arranging 4 of them (r=4). We can plug these values into the formula to find the number of ways: P(15, 4) = 15! / (15-4)! = 32,760. So, there are 32,760 ways to select and display the 4 pendants.

https://brainly.com/question/23283166

#SPJ12

Answer:

n = 0, n = 14

Step-by-step explanation:

-n² - 14n = 0

Remove -n: -n(n - 14) = 0

Solve: -n = 0, n - 14 = 0

Solve: n = 0, n = 14

Answer:

n = 0, n = -14

Step-by-step explanation:

We are given the following equation an we are to solve it for the variable [tex] n [/tex]:

[tex] - n ^ 2 - 1 4 n = 0 [/tex]

Taking out the minus '-' as the common to get:

[tex] - ( n ^ 2 - 1 4 n ) = 0 [/tex]

[tex]n^2+14n=0[/tex]

[tex]n(n+14)=0[/tex]

[tex] n = 0 , n + 1 4 = 0 [/tex]

[tex] n = 0, n = -14 [/tex]

Answer: Option A

[tex]y=\left \{ {{x^2 +2;\ \ x<1 \atop {-x+2;\ \ x\geq1}} \right.[/tex]

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is [tex]y = x ^ 2 +2[/tex]

Then we have an equation line[tex] y = -x + 2 [/tex]

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is [tex]x< 1[/tex])

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is [tex]x\geq 1[/tex])

Then the function is:

[tex]y=\left \{ {{x^2 +2;\ \ x<1 \atop {-x+2;\ \ x\geq1}} \right.[/tex]