7
Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Use the picture of the trapezoid below to complete the statements that follow.
10 units
units
14 units
square units, the area of section 2 is
square units, and the area of section 3 is
square
The area of section 1 is
units.
The area of the trapezoid is
square units.
Reset
Submit

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

Area of a sector of a circle = ∅/360 × πr²

Length of arc = ∅/360 × 2πr

Given the following:

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

Learn more about area of sector on:

https://brainly.com/question/22972014

Answer:

D

Step-by-step explanation:

In order to find a non-real number we look for a part of the expression that cannot exist.

Answer choice D stands out as you cannot take a square root of a negative number.

That's our answer!

Option D is correct,  the given number 3√(7/5) + √-(9/5)  is a  non real complex number.

The complex number is basically the combination of a real number and an imaginary number.

3√(7/5) +√(-9/5) is a non real complex number

We know that a+ib is a complex number where a is real number and b represents the imaginary number

3√(7/5) +√i²(9/5)

3√(7/5) + i√9/5 it is in the form of a+ib.

where a is 3√(7/5) and b is √9/5

3√(7/5) + √-(9/5) is non real complex number

Hence, among the given numbers 3√(7/5) + √-(9/5)  is a  non real complex number.

To learn more on Complex Numbers click:

https://brainly.com/question/20566728

#SPJ7

Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.

Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.

Equation for Emily's graph:

Slope (m) = rise/run = 1/3

y-intercept (b) = 2

Substitute m = 1/3 and b = 2 into y = mx + b

y = 1/3x + 2

Equation for Serena's graph:

Slope (m) = rise/run = 2/5

y-intercept (b) = 0

Substitute m = 2/5 and b = 0 into y = mx + b

y = 2/5x + 0

y = 2/5x

To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.

2/5x = 1/3x + 2

2/5x - 1/3x = 2

1/15x = 2

Multiply both sides by 15

x = (2)(15)

x = 30

The answer is 30 minutes for both to read the same number of pages.

Learn more about linear equations on:

https://brainly.com/question/14323743

Answer

A: $28,000

B: 15 years

Step-by-step explanation:

A: Since $25,000 is deposited in the bank and you earn 4% interest annually over 3 years you would earn 12% interest. 12% of 25,000 is 3,000. The sum of 25,000 and 3,000 is 28,000 having you earn $28,000 over 3 years.

B: Since every year you earn 4% annual interest and you have $25,000 deposited in the bank you have to find what percentage of 25,000 equals 15,000. Since 25,000 isn't exactly easy to find multiply it by 4. That leaves you with 100,000 which we know you don't have in the bank but it will make it easier to find the percentage. You will also have to multiply 15,000 by 4 giving you 60,000. Now divide the 60,000 by 1,000 which equals 60. What's the point of the number 60? Well, that's the percentage it takes. Now divide 60 by the annual interest which is 4 and that gives you 15. 15 is the number of years it will take for the balance to reach $40,000.

Hope this helps!

Answer:

Talking Ben Thinks It 7 cm

Step-by-step explanation:

7m Cause Ben Told me

the answer would be supplementary angle, as an angle is supplementary when the measurements add up to 180 degrees

Answer:

585

Step-by-step explanation:

Explanation in picture below.

Answer:

Matrix  1:  -4269

Matrix 2:  1768

Matrix 3:  647.3561

Step-by-step explanation:

Matrix 1: [tex](7*19)-(31*142)=-4269[/tex]

Matrix 2:  1768

[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]

Matrix 3:  647.3561

[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]

Answer:

30112.50. 15x22x91.20+26.50

Answer:

70

Step-by-step explanation:

2 quarters are 50¢

4 dimes are 40¢

1 nickel is 5¢

if you add it all together you will get 70¢

Answer:

A, B, and C.

Step-by-step explanation:

The square root of 25 is 5. 5 is rational, a whole number, and an integer.

The set is 11, 15, 19, 12, 11, 16, 11, 17

Mean = 14

Median = 13.5

Range = 8

Midrange = 15

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

The set:

11 15 19 12 11 16 11 17

The sum of the set:

= 11 + 15 + 19 + 12 +11 +16 + 11 + 17

= 112

Mean:

= 112 / 8

= 14

Median:

Arrange the set in ascending order.

11, 11, 11, 12, 15, 16, 17, 19

The Median is the mid-value of the set.

Median = (12 + 15) / 2 = 27/2 = 13.5

Range:

Highest value in the set = 19

Lowest value in the set = 11

Range = Highest value - Lowest value

= 19 - 11

= 8

Midrange:

= (Highest value + Lowest value) / 2

= (19 + 11) / 2

= 30/2

= 15

Thus,

If the set is 1, 15, 19, 12, 11, 16, 11, 17.

Mean = 14

Median = 13.5

Range = 8

Midrange = 15

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ5

Answer:

A: (-3,4) (-3,6) (-5,6) (-7,4)

B: The transformation would be described as a reflection over the y axis

C:  The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width

Step-by-step explanation:

So our plots from the figure are: (3,4)  (3,6)  (5,6)  (7,4)

So using the rule (x, y) → (-x, y) are new points would be:

(-3,4)

(-3,6)

(-5,6)

(-7,4)

This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.

Answer:

h is the horizontal translation

k is the vertical translation

a is the stretch parallel to the y-axis

Step-by-step explanation:

Parent equation:  [tex]y=x^2[/tex]

Translate [tex]h[/tex] units right:  [tex]y=(x-h)^2[/tex]

(if [tex]h < 0[/tex], then the translation is [tex]h[/tex] units left)

Stretched parallel to the y-axis by a factor of [tex]a[/tex]:  [tex]y=a(x-h)^2[/tex]

(if [tex]a < 0[/tex], the graph is also reflected in the x-axis)

Translated k units up:  [tex]y=a(x-h)^2+k[/tex]

(if [tex]k < 0[/tex] then the translation is k units down)

Example attached for [tex]y=2(x-3)^2+4[/tex]

The combination of tickets that must be sold to have total sales of at least $5000 is  7x + 5y ≥ 5000

The situation forms an inequality. Inequality expression has <, >, ≤ or ≥. Therefore,

let

x = number of adult ticket sold

y = number of students ticket sold

Therefore, the combination of tickets must be sold to have total sales of at least $5000 is as follows:

7x + 5y ≥ 5000

learn more on inequality here: https://brainly.com/question/15072463

#SPJ1

Answer:

buying a book of 9 round trip bus tickets from Houston to Austin for a total of $702 is a better deal because 702/9 = 78 which is less than 522/6 = 87

Step-by-step explanation:

Answer:

819

Step-by-step explanation:

The mean is the average. Add up all the values and then divide that by the total amount of values. 1500+338+588+850=3276. 3276/4=819.

Answer:

1.97 day; 1 day.

Step-by-step explanation:

0.07*100 = 7

31.91x - 7 = 70

70 - 7 = 63

31.91x = 63

63 / 31.91 = 1.97

Hudson can afford to drive the car for 2 days and stay under his budget.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We know that it costs $0.07 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:

31.91x + 0.07(100) ≤ 70

31.91x + 7 ≤ 70

Rearranging the inequality so we have the variable isolated on one side, we get:

31.91x ≤ 63

Divide both sides by 31.91 to get x alone.

x ≤ 1.97430

x ≤ 2

From obtaining the solution, Hudson can afford to drive the car for 2 days and stay under his budget.

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ2

The question seems incomplete, the complete question would be as:

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that:

• He plans to drive 100 miles.

• He has at most $70 to spend.

Which inequality can be used to determine, the maximum number of days Hudson can afford to rent for while staying within his budget?

Answer:

300 cents in pennies

1000 cents in nickles

2000 cents in dimes

3000 cents in quarters

the answer would be B. 63.00

Answer:

5*3*2=30ways

Step-by-step explanation:

Since we have 5 different manufacturers who manufactures the drug in 3 different forms and 2 type of strengths, then;

Number of ways in which a nurse can administer the drug for a patient

are; Ways=5*3*2=30ways

Therefore, the production cost for a packet of Super tea is $923.91.

Since Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1, and originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce, and Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg, to determine the production cost for a packet of Super tea, the following calculation must be made:

Therefore, the production cost for a packet of Super tea is $923.91.

Learn more about cost calculation in https://brainly.com/question/27344683

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

Answer:

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

Hope this helps you!!

Please Mark me as Brainleast!!!!!!!!!!!!!

Answer:

10.19

Step-by-step explanation:

Answer:

Line R

Step-by-step explanation: