Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter and continues putting this number of chickens in each shelter until she comes to the last one. How many chickens will Mrs. Johnson put in the last shelter?

Answer:

Step-by-step explanation:

3. sin^2A + cos^2A = 1  (formula )

1 + tan^2 theta = sec^2 theta  (derived from the formula sec^2 theta - tan^2 theta )

b.2x = 12 (by comparing the corresponding element)

x = 12/2

x = 6

3y = 12 (by comparing the corresponding element)

y = 12/3

y = 4

mean = sum of data / no of data

4+7+5+9+11+6 / 6

42 / 6

7

mean = 7

to find median arrange the data from ascending to descending order (from smallest to biggest)

data = 3,4,6,8,10,12

median = (N +1)/2   (N means no of data )

=6 + 1/2

=7/2

=3.5

=3 th term + 4 th term /2

=6 +8 / 2

=14/2

=7 median = 7

to find value of theta

90° + 50° + theta = 180° (sum of interior angles of a triangle)

140° + theta = 180°

theta = 180° - 140°

theta = 40°

therefore theta = 40°

Hope this helps u !!

Answer:

runner 1 runs with 9 miles / hour

runner 2 runs with 7 miles / hour

Step-by-step explanation:

x = speed of runner 1

y = speed of runner 2

2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles

2x - 2y = 4

x - y = 2

x = y + 2

1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16

x + y = 16

y + 2 + y = 16

2y + 2 = 16

2y = 14

y = 7 miles / hour

x = y + 2 = 9 miles / hour

Answer:

Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres

Step-by-step explanation:

the question is blurry for me take a picture of that again

Answer:

$408

Step-by-step explanation:

Sin (30) = 1/2

Option B is the correct answer.

Step-by-step explanation:

[tex] \sin(30) = \frac{1}{2} [/tex]

Answer:

Yes, it is a rational number

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

hi

Step-by-step explanation:

i'll happy to help you but there isn't question

have a nice day

Answer:

If you make another question, with the picture, i will help you!

Step-by-step explanation:

Have a nice day/night!

Answer:

75%

Step-by-step explanation:

There are 8sections. Each section carries 12.5%. There are two red sections which carries 12.5*2=25%. Hence the chance is 75%.

Answer:

Step-by-step explanation:

If you look at the diagram, you notice there are two triangular bases and three rectangular faces.

Therefore, the surface area, or the total area of all the bases and faces, would be the area of one triangular base multiplied by 2 and the area of each rectangular face

area of triangle = (1/2)*height*base

area of triangular base = (1/2)*15*28 = 210 cm^2

area of rectangle = base*height

area of rectangular face #1 = 25*30 = 750 cm^2

area of rectangular face #2 = 17*30 = 510 cm^2

area of rectangular face #3 = 28*30 = 840 cm^2

total surface area = 2*210 + 750 + 510 + 840 = 2520 cm^2

Answer:

Step-by-step explanation:

We can use a proportion to solve this problem

26.5 : 100 = x : 7600

x = (26.5 * 7600)/100 = $2014 (increase in dollars)

Year - end amount = 7600 + 2014 = $9614

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Very sry to tell that I really don't know it...

Answer:

the length of adjacent =√25²-24²=√49=7

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Answer:

b

Step-by-step explanation:

Answer:

b......................

Step-by-step explanation:

.

Answer:

about 3 years

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

Given

Amount A == $2400

Principal P = $1200

rate = 24.77% = 0.2477

Substitute the given values

2400 = 1200(1+0.2477)^t

2400/1200 = (1+0.2477)^t

2 = (1+0.2477)^t

ln 2 = tln1.2477

t = ln2/ln1.2477

t = 3.13

Hence it will take about 3 years  until Brad owes the  credit card company $2,400

Answer:

Step-by-step explanation:

True

True

True

False

False

True

Answer:

divide is the right and exact antonym(opposite word) from multiply according to maths.

Step-by-step explanation:

this is 100% correct!

Answer:

divide

hope this helps you.

Answer:

Step-by-step explanation:

x

Answer:

b=24

Step-by-step explanation:

b=  [tex]\sqrt{a^{2}-x^{b} }[/tex]

Answer:

Angle 5 (corresponding angle)

Answer:

B.

Step-by-step explanation:

Answer: C. Region C

Step-by-step explanation: Done on edge! Hope this helps!

the area of the cylinder is 500 cm

Answer:

260,

43.73,

34.28

Step-by-step explanation:

8. Triangle's base is 10, height 4.

10 * 4 = 40

40/2 = 20

24 * 10 = 240

240 + 20

= 260

9. Radius 3.

πr²

9π

12 * 6 = 72

72 - 9π

≈43.73

10. Semicircle has a radius of 2.

2²π

4π

4π/2 = 2π

≈6.28

6.28 + 28 = 34.28

≈34.28

8. It has Triangle embedded to a Rectangle

Area of Figure =Area of Triangle + Area of Rectangle

Area of Triangle = ½ base x height

= ½ x 10 x 8 =40

Area of Rectangle= 24 x 10 =240

TOTAL AREA OF FIGURE = 240 + 40 = 280

9.

Its a rectangle with a Circle in the Middle

Area of Shaded Region would be

Area of Rectangle – Area of circle

Area of Rectangle = 12 x 6 =72

Area of Circle = πr² = π x 3² = 28.27

AREA OF SHADED REGION= 72 - 28.27

=43.73in².

10.

The shape contains a semicircle on a rectangle

Area of the shape = Total Surface Area of semicircle + Area of a Rectangle

Total Surface Area of a semi circle=2πr²

Diameter was given = 4cm

Radius = Diameter/2 = 4/2 = 2cm

= 2 x π x 2² = 25.13cm²

Area of rectangular part = 4 x 7 =28cm²

AREA OF FIGURE = 25.13 + 28 =53.13cm².

Pls notify me if there are any Mistakes.

Have a great day!

Answer:

Interest is the cost of borrowing money, and the money you earn from your savings.

Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)

#keep learning!!

Answer:

[tex](f - g)(5) = 16[/tex]

Step-by-step explanation:

Given

See attachment for tables

Required

[tex](f - g)(5)[/tex]

This is calculated as:

[tex](f - g)(5) = f(5) - g(5)[/tex]

From the table, we have:

[tex]f(5) = 29;\ \ g(5) = 13[/tex]

So:

[tex](f - g)(5) = 29 - 13[/tex]

[tex](f - g)(5) = 16[/tex]

Answer:

Keep it simple: 16

Step-by-step explanation:

Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

Answer:

Set 2

Step-by-step explanation:

First find the median of each set (the median being the number in the middle):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 10

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 10

Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 12.8

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 7.2

the answer being 12.8 since 12.8 is greater than 10

(4) {1,2,10,11, 12}

Answer:

Solution given:

1:

{ 4,7,10,13,16}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={ 4+7+10+13+16}/{5}=10

(2)

{8,9,10,18,19}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+18+19}/{5}=12.8

3) {8,9,10,11,12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+11+12}/{5}=10

(4) {1,2,10,11, 12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={1+2+10+11+13}/{5}=7.4

In above

1: mean=median

2:mean>median

3:mean=median

4:mean<median

so median is greater than mean is in 4th one.

(4) {1,2,10,11, 12}