Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter

Answer:

Step-by-step explanation:

I attached a pic so you can see what the angles look like when you draw them out and construct right triangles out of them. We need to find the missing side lengths, ?, in each triangle. For A:

and

x = 40 For B:

and

x = 29. Now that we know all the sides of each triangle, we will use the sum identity for sin:

sin(A + B) = sinAcosB + cosAsinB. Filling in what we found in our triangles for each ratio: sin A = 40/41, sin B = 21/29, and cos B = 20/29

sin(A + B) = which simplifies to

And that's it. It doesn't simplify any further.

Answer:

20

Step-by-step explanation:

We are to determine the lowest common multiple of 4 and 5

the first six multiple of 4 are = 4, 8, 12, 16, 20, 24

the first six multiple of 5 are = 5, 10, 15, 20, 25

the multiple they both have in common is 20

The question is incomplete. The complete question is :

Two companies modeled their profits for one year.

Which statement describes the relationship between the profits, predicted be the models, of the two companies?

Solution :

For one year, the two companies A and B modeled their profits.

It is given that :

Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].

But the company B uses the data in the table in order to write the linear model to represent their monthly income.

We know the linear function is given by :

[tex]$P(t)=mt+c$[/tex]

Here, m = slope of line

          c = y-intercept

According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :

[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]

The point [tex](3.5)[/tex] passes through the given line.

∴ [tex]$5=5(3)+c$[/tex]

[tex]$5=15+c$[/tex]

[tex]$c=5-15$[/tex]

[tex]$c=-10$[/tex]

Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]

So, at [tex]t=4[/tex],

the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]

                                                          = 6.91

the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]

                                                           = 20 - 10

                                                            = 10

Therefore,  [tex]t=4[/tex], the profit of the company B is more than the profit of company A.

Now at [tex]t=12[/tex],

Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]

                                               = 102.05

Profit of company B is [tex]P(12)=5(12)-10[/tex]

                                               [tex]$=66-10$[/tex]

                                               = 56

Therefore, the profit of company A is more that that of company B at the end of the year one.

Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.

Option (B) is the correct answer.

Answer:

15

Step-by-step explanation:

miranda - 2x5=10

trudy - 5x5=25

25-10=15

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

Answer:

Exactly 22 dogs weigh at least 100 pounds

Exactly 6 dogs weigh 70 pounds

Exactly 9 dogs weigh at least 120 and less than 160 pounds

The heaviest dog at the show weighs 170 pounds

At this dog show a typical weight for a dog would be around 100 - 120

Answer:

class b

Step-by-step explanation:

because the mean and median are approximately the same

Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

Answer:

Volume=length*wide*height

1st volume:1 ½*3*1=3/2×3=9/2 not equal

2nd volume: 2*2*1 ½=4*3/2=6units not equal

3rd volume: 1 ¼*4*1=5/4*4=5units equal

4th volume :2*1*2=4units not equal

third one is a required answer.

Answer:

HCFD

Step-by-step explanation:

a² + b² = c² => a² = c² - b² => a = √(c² - b²)

=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]

A) √(5.5² - 3.5²) ≈ 4.24 => H

B) √(8.8² - 3.5²) ≈ 8.07 => C

C) √(9.3² - 3.5²) ≈ 8.62 => F

D) √(7.9² - 3.5²) ≈ 7.08 => D

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

Answer: 6

Step-by-step explanation: The answer is 6

Answer:

B. y= -½x + 11

Step-by-step explanation:

_______________

Answer:

659.4 inches

Step-by-step explanation:

C = 2*3.14*21

C = 131.88

131.88*5 = 659.4 inches

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

-2/(-2)x = -3/(-2)

x = 3/2

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

ANSWER:

200 millimetre

====================================================

Work Shown:

1 meter = 100 cm

3 meters = 300 cm (multiply both sides by 3)

15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.

------------

Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens

20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km

It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.

------------

Let's convert to mm and see what happens

20 cm * (10 mm/1 cm) = 200 mm

Through trial and error, we arrived at the final answer.

Answer: 352 feet

Step-by-step explanation: 44 X 8

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

Answer:    0.5 liquid gallon

Step-by-step explanation:      Have a great day

Answer: 0.39 inch  snow fell on Wednesday than on Thursday.

Step-by-step explanation:

We are given that, It snows 0.7 inch on Wednesday and 0.31 inch on Thursday.

According to this model,

more snow fell on Wdifferenceednesday than on Thursday because 0.7 > 0.31

To compute the difference we subtract the length of snow on Thursday from length of snow on Wednesday.

Difference = 0.7-0.31

= 0.39 inch

Hence, 0.39 inch  snow fell on Wednesday than on Thursday.

Answer:

V= 36 9/16 or (decimal form) 36.5625

Step-by-step explanation:

V=length x width x height

Answer:

(x+3)² + (y+2)² = 49

Step-by-step explanation:

To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.

First, let us write the equation of the circle

The equation is expressed as;

(x-a)² + (y-b)² = r²

(a, b) is the centre

r is the radius

r = √(-9-(-2))² +(-3-(-3))²

r = √(-9+2)² +(-3-(-3))²

r = √(-7)²

r = √47

r = 7

Get the equaton

(x-(-3))² + (y-(-2))² = 7²

(x+3)² + (y+2)² = 49

This gives the required equation

Answer:

1/4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Substitute 8 for x

x2-7

8*2-7

16-7

9

Answer:

3.56 pints

7.125 cups

57 oz

Step-by-step explanation:

water = 1 quart = 32 oz

lemon juice = 1 pint = 16 oz

honey = 9 oz

lemonade = 32 + 16 + 9 = 57 oz

Now 16 oz = 1 pint

So, 57 oz = 3.56 pint

As, 1 cup =  8 oz

So, 57 oz = 7.125 cups