19) A pen which costs $180 is being sold at a
profit of 10%. The amount of the profit is
(A) $1.80
(B) $10.00
(C) $18.00
(D) $198.00​

Answer:

[tex]x=\sqrt{72}[/tex]

Step-by-step explanation:

Hope this helps

The student used the wrong trig ratio. They should use cosine instead.

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\[/tex]

If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.

Answer:

x = 71.9 degrees

Step-by-step explanation:

cos x= 9÷29

cos x= 0.31

x =cos-1(0.31)

x = 71.9 degrees

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and [tex]m=15[/tex].

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting [tex]x=10,y=200,m=15[/tex] in (i), we get

[tex]200=15(10)+b[/tex]

[tex]200=150+b[/tex]

[tex]200-150=b[/tex]

[tex]50=b[/tex]

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

Answer:

Below

Step-by-step explanation:

First way:

Find the area of the big triangle and subtract the area of the rectangle.

Area of shaded part = 1/2 * 25 * 34 -  10*24 =  185 m^2

Second way:

Add the area of the 3 shaded triangles:

= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10

= 180 + 25 + 25 = 230 m^2

The areas are different. The reason must be that given lengths are not possible for this diagram.

Check The length of the hypotenuse of the large triangle by 2 different methods:

The hypotenuse = √(25^2 + 17^2)

= 30.23.

Now let's work out the hypotenuse of the shaded triangles:

Top one = √(15^2 ^ 12^2) = 19.21

Bottom one = √((5^2 + 10^2) = 11.18

Adding these we get 30.39  which is different than previously calculated but it should be the same.

So what we have here is impossible geometry. This accounts for the different areas.

Answer:

$70

Step-by-step explanation:

essentially, Judy paid 90% of the original price

therefore you can write this equation where 'x' equals the original price:

.9x = 63

x = 63/.9

x = 70

Answer:

No, the closest to -451 in the sequence is -429

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

Answer:W

Step-by-step explanation: The multiplicative inverse is the reciprocal of the number

Answer:

Probability = 16.7

Step-by-step explanation:

Total marbles 9

Choosing 2 red = [tex]4C_2[/tex]

Choosing 2 marbles from 9 marbles = [tex]9C_2[/tex]

Probability percent of choosing 2 red marbles from 9 marbles

                                                          [tex]\frac{4C_2}{9C_2} = \frac{1}{6} \times 100 = 0.1667 \times 100 = 16.7[/tex]

Answer:

16.6

Step-by-step explanation:

4+3+2=9 marbles

4=red

4/9*3/8=1/6

1/6= 16.6

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.

hope this helps,have a great day!!

~Pinky~

If a film starts at 19:30 and lasts 104 minutes.

The film will end at 21:14.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

Example:

x + y + 2 is an expression.

We have,

Film start time = 19:30

Duration of the film = 104 minutes

1 hour = 60 minutes

Multiply 104/60 on both sides

104/60 x 1 hour = 104/60 x 60 minutes

1.73 hours = 104 minutes

The time the film will end:

= 19:30 + 1.73 hours

= 19:30 + 1 hour + 44 minutes

= 21:14

Thus,

The film will end at 21:14.

Learn more about expressions here:

https://brainly.com/question/10978794

#SPJ2

Answer:

You would plote the minutes as your x (1,2,3,4,5) and your height in feet as your y. So some ordered pairs would be (1,35) and (2,60).

Step-by-step explanation:

If it were measured every 15 minutes, the x coordinate, would be multiples of 15.

Hope this helps!

:)

Answer:

96

Step-by-step explanation:

3 floors:

3x16= 48windows per building

2 buildings

2x48=96 windows

Answer:

9x² + 6x - 5

Step-by-step explanation:

If you mean g(f(x))

g(x) = x² - 6

f(x) = 3x + 1

Then, g(f(x)) = g(3x + 1)

but g(x) = x² - 6

g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6

= 9x² + 6x - 5

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

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

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

Use this x value to find the measure of arcs DC and CB

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

Answer:

Option 1

Step-by-step explanation:

You can tell if a function is even if [tex]f(-x)=f(x)[/tex]:

[tex]f(x)=x^2-x+8[/tex]

[tex]f(-x)=(-x)^2-(-x)+8[/tex]

[tex]f(-x)=x^2+x+8[/tex]

Since [tex]f(-x)\neq f(x)[/tex], the function is not even. Therefore, option 1 is the best option.

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

Work Shown:

a^2+b^2 = c^2

15^2+20^2 = 25^2

225+400 = 625

625 = 625

Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.

Side note: c is always the longest side.

Answer:  C. Function composition

Step-by-step explanation:

If we have two functions, we can form a new function by composing one function into the other.  Such functions are known as composite functions.

For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).  

It is generally a function that is written inside another function.

i.e. it is a process of using the output of one function as the input for another.

Thus, the correct option is  C.

The required term:  Function composition

tbh i think it is 6 i did the math too

Answer:

2√41

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

√(-8 - 0)² + [0 - (-10)]²

√(-8)² + (10)²

√(64) + (100)

√164

= 2√41

Answer:

1.375

1.625

3.3125

4.45

Step-by-step explanation:

11/8= 1.375

13/8=1.625

53/16= 3.3125

89/20=4.45

Answer:

1.375

1.625

3.3125

4.45

Step-by-step explanation:

Change the mixed fraction to a improper fraction then divide the numerator by the denominator,

Answer:

the answer is 47

Step-by-step explanation:

133+x=180

Answer:

first u will find de L.C.M which is 6

so u will multiply de whole equation by 6 hence

6(x/3)- 6(x-1/ 2) greater or equal to 6(1)

u will then cancel getting de equation to be

2(x)-3(x-1) greater or equal to 6 (1)

now, u will expand de equation

2x-3x+3 greater or equal to 6

now u group like terms

2x-3x greater or equal to 6-3

hint: greater or equal to must be done with it's symbol

so now for de answer, u will get -x greater or equal to 3

wen u get this, u change de operation to be opposite of de current sign

now de final answer becomes

Step-by-step explanation:

a )2x-2

b)6x+9

c)7x+35d

for these type of questions you basically just times the out side number of the brackets by the inside one.

hope this helps u understand:)

Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

Answer:

6 workers

Step-by-step explanation:

Number workers to earnings is direct proportion.

8: 2400 :: x : 1800

Product of means = Product of extremes

2400 * x = 8*1800

           [tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]

Answer:

6 workers will earn Rs. 1800.

Step-by-step explanation:

Given :-

To find :-

Solution :-

Let

no. of workers will earn Rs. 1800 = x.

We need to write a ratio to solve.

using cross products

Divide each side by 2400

Hence, 6 workers will earn Rs. 1800.

Answer:

[tex]w = \sqrt{x} y[/tex]

Step-by-step explanation:

Formula used :

[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]

[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]

Answer:

13.2 gallons

Step-by-step explanation:

286/260 *12 = 13.2

Answer:

about 13.2 gallons

Step-by-step explanation:

Easy way to calculate.

12 gallons divided by 260 miles

Take that answer and multiply it by 286.

Answer:

0.27 goldfish per cubic foot

Step-by-step explanation:

Find the density of the tank by dividing the number of goldfish by the volume of the tank:

12/45

= 0.27

So, the density of the tank is 0.27 goldfish per cubic foot

Answer:

0.27 is the answer

Step-by-step explanation:

I took the test :)

Answer:

BC = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

Hope this helps u !!