What is the approximate value of sin C?
B
13.93
5
A
13
12
O A. 0.93
OB. 0.36
O C. 2.79
D. 0.38

Answer: 895 phones

Step-by-step explanation:

Given that :

The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997

y = number of camera phones ; x = number of years since 1997

The number of camera phones shipped in the year 2002 can be obtained thus ;

x = 2002 - 1997 = 5 years

y = 1.28e^(1.31 * 5)

y = 1.28e^6.55

y = 1.28(699.24417)

y = 895.03254

y = 895 phones

Answer:

2

Step-by-step explanation:

[tex]tan\ x = 0.5\\\\\frac{sin\ x}{cos\ x}=0.5\\\\sin\ x=0.5(cos\ x)\\\\1=0.5(\frac{cos\ x}{sin\ x})\\\\1=0.5(cot\ x)\\\\\frac{1}{0.5}=cot\ x\\\\2=cot\ x \\[/tex]

Answer:

1 mile = 3 ft

Therefore, the number of miles that equal 2800 ft is 2800÷3.

The answer: 933.33

Step-by-step explanation:

Answer:

g(x)= -x2-2

Step-by-step explanation:

F(x)=x2

So, the graph of g(x) will shift -2 units in y axis

hence,

g(x)= -x2-2

Answer:

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:

Answer:

A = (5, 3), so the x-value is 5

Step-by-step explanation:

Answer:

(5, 3), so the x-value is 5

Step-by-step explanation:

Person above me right thank you person above me

Answer:

please see it my step solution work

Answer:

x=-7

if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\displaystyle f(x)=x+1\text{ and } g(x)=\frac{2}{x}[/tex]

And we want to find:

[tex]f(g(x))[/tex]

Therefore, we will substitute the equation for g(x) for the x in f(x). This yields:

[tex]\displaystyle f(g(x))=\big(\frac{2}{x}\big)+1[/tex]

Simplify:

[tex]\displaystyle f(g(x))=\frac{2}{x}+1[/tex]

Hence, our answer is C.

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

Answer:

1/8 is SMALLER then 2/10

Answer:

2/10 is greater

Step-by-step explanation:

2/10 and 1/8, hard to tell since they have different denominators. So let's make them have the same denominators, multiply 2/10 with 4/4 and 1/8 with 5/5.

If u don't want to think too much to find a number they can both be multiplied too, simply multiply each fraction with the others denominator, so 2/10 times 8/8 and 1/8 times 10/10. It doesn't rlly matter what factor u choose to multiply with as long as the denominator is the same.

So back to the first one, 2/10 times 4/4 is 8/40, 1/8 times 5/5 is 5/40.

8/40 > 5/40

Therefore 2/10 is greater

Answer:

what?

Step-by-step explanation:

Answer:

$7.87

Step-by-step explanation:

Step one:

given data

For each costume, he needs 2.125 yards of fabric

cost of Fabric is $3.49 a yard

Required

The total cost of making the costume

Step two:

Hence the total cost of fabric needed is = 2.125*3.49= $7.42

sales tax is 6%

= 6/100*7.42

= 0.06*7.42

=$0.45

Therefore total cost of the costume is = 7.42+0.45= $7.87

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  [tex]A1=\frac{(base)(height)}{2}[/tex]

Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]

Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]

[tex]S1=4x^{2}-12x+9[/tex]

Area of rectangle S2:

[tex]S2 = (4x-6)(3x-2)[/tex]

[tex]S2=12x^{2}-26x+12[/tex]

Area of trapezoid S3:

[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]

[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]S3=6x^{2}-5x-6[/tex]

2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]

[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]

[tex]S=10x^{2}-33x+37[/tex]

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]

[tex]20x^{2}-66x+54=0[/tex]

Using Bhaskara to solve the second degree equation:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]

[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8

[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

[tex]S=(2x-3)(5x-9)[/tex]

[tex]S=10x^{2}-18x-15x+27[/tex] (expand)

[tex]S=10x^{2}-33x+27[/tex] (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]

[tex]20x^{2}-66x+27=0[/tex]

Solving:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]

[tex]\frac{66+46.86}{40}[/tex]

[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82

[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Given

sin(- 240°)

To obtain the positive angle measure add 360°, equivalent to one full revolution about the origin, then

ain(- 240°)

= sin(- 240 + 360)°

= sin120°

= sin( 180 - 120)°

= sin60°

= [tex]\frac{\sqrt{3} }{2}[/tex]

Answer:

The maximum distance between posts is 8 m

Step-by-step explanation:

There is a rectangle-shaped plot where we have to place equidistant posts at the maximum possible distance. The dimensions of the plot are 608 m and 264 m.

The maximum distance between posts is given by the maximum possible divisor of 608 and 264. That number is called the greatest common divisor (GCD).

It can be found by factoring both numbers:

[tex]608 = 2^5*19[/tex]

[tex]264 = 2^3*33[/tex]

The GCD is the product of all common factors with the least exponent. The only common factor is 2 and the least exponent is 3. Thus the GCD is 2*2*2=8.

The maximum distance between posts is 8 m

Answer:

b. 4(x + 6) = 49

Step-by-step explanation:

Step two:

given data

A quadrilateral has a side length L of x+6 inches

Perimeter= 49 inches.

Required:

the expression for the perimeter of the  quadrilateral given the situation

Step two:

A  quadrilateral has four sides, assume we have a square-shaped quadrilateral

P=4L

49= 4(x+6)

Answer:

$19.50

Step-by-step explanation:

You can set up a simple equation where t-shirts are represented by t and cost by c.

$78=4t.

To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is

$19.50=1t

And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.

More likely a line graph

Answer:

line graph

Step-by-step explanation:

Answer:

8/15=n/100

Step-by-step explanation:

Answer:

a*(20-a)

Step-by-step explanation:

Let's assume that the length of the garden is a the width is b and the area is s.

b = 40/2 - a = 20-a

s =a*(20-a)=-a^2+20a=-(a-10)^2+100

then,

when a=10, max(-(a-10)^2) =0, max(s)=100

Answer:

0

Step-by-step explanation:

Eg:

-5*0=0

-1*0=0

Given:

The ratio of red and blue cubes is 4:7.

After adding 10 more red cubes the ratio of red and blue cubes is 6:7.

To find:

The number of blue cubes.

Solution:

The ratio of red and blue cubes is 4:7.

Let the number of red and blue cubes be 4x and 7x respectively.

After adding 10 more red cubes.

Number of red cubes = 4x+10

Then, the ratio of red and blue cubes is 6:7.

[tex]\dfrac{4x+10}{7x}=\dfrac{6}{7}[/tex]

[tex]7(4x+10)=6(7x)[/tex]

[tex]28x+70=42x[/tex]

[tex]70=42x-28x[/tex]

[tex]70=14x[/tex]

Divide both sides by 14.

[tex]5=x[/tex]

Now,

Number of blue cubes in the bag is

[tex]7(5)=35[/tex]

Therefore, the number of blue cubes is 35.