PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer:

m = 1     c = -8

Step-by-step explanation:

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

Answer:

Area =  1053.59²

Step-by-step explanation:

Area = Area of cylinder + Area of rectangular prism

Area of cylinder = 2 π r h + 2 π r²             [ r = 4, h = 8]

                        = 2 π r ( h + r)

                        = 2 π x 4 ( 8 + 4)

                        = 301.59 ft²

Area of rectangular prism = 2 ( 12 x 8 + 8 x 14 + 14 x 12)  = 752 ft²

Area = 301. 59 + 752 = 1053.59²

Answer:

1376

Step-by-step explanation:

Step 1   14 × 8 × 12 = 1344

Step 2   28 × 4 = 32

Final Step  1344 + 32 = 1376

Answer:

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

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

Answer:

1,012

Step-by-step explanation:

72,864 / 72 = 1,012

Answer:

1012 books per bookcase

Step-by-step explanation:

Assuming each bookcase has the same number of books, this is a division task.

Your answer will be given by number of books÷number of bookcases.

In this case, that becomes 72864÷72.

This can be solved to 1012.

**This question involves division and writing integer expressions, which you may wish to revise. I'm always happy to help!

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

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:

Table A

Step-by-step explanation:

None of the numbers in the x values are repeating

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

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

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.

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:

34.2 ; 105.8 ; 12.0

Step-by-step explanation:

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

c² = a² + b² - 2abcosC

~~~~~~~~~~~~

sinB = [tex]\frac{bsinA}{a}[/tex]

sinB = 7sin40° ÷ 8 ≈  0.562439

m∠B ≈ 34.2°

m∠C = 180° - ( 40° + 34.2° ) = 105.8°

c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87

c ≈ 12.0 units

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:

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:

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.

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:

[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:

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:

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,

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:

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

Step-by-step explanation:

Hope this helps u !!

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

Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

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

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:

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

Step-by-step explanation:

Hope this helps