Figure ABCD is a trapezoid. Find
the value of x.

Answer:

cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)

Step-by-step explanation:

We will make use of trig identities to solve this. Here are some common trig identities.

Cos (A + B) = cosAcosB – sinAsinB

Cos (A – B) = cosAcosB + sinAsinB

Sin (A + B) = sinAcosB + sinBcosA

Sin (A – B) = sinAcosB – sinBcosA

Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to

cosAcosB + sinAsinB and we know that

cosAcosB + sinAsinB = cos(A – B). Therefore,

cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)

Answer:

0,1,2,3,4,5

Step-by-step explanation:

You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.

Answer:

The marked price of the smart phone is Rs 15,000.

Step-by-step explanation:

We proceed to explain step by step how to determine the marked price of the  smart phone:

1) Divide the resulting price by the VAR factor:

[tex]C' = \frac{C''}{1 + \frac{r}{100} }[/tex] (1)

Where:

[tex]C''[/tex] - Resulting price, measured in rupees.

[tex]C'[/tex] - Price of the product after discount, measured in rupees.

[tex]r[/tex] - VAT rate, measured in percentage.

If we know that [tex]C'' = 15,255\,INR[/tex] and [tex]r = 13[/tex], then the price of the product after discount is:

[tex]C' = \frac{15,255\,INR}{1+\frac{13}{100} }[/tex]

[tex]C' = 13,500\,INR[/tex]

2) Divide the price of the product after discount by the discount factor:

[tex]C = \frac{C'}{1-\frac{r'}{100} }[/tex] (2)

Where:

[tex]C[/tex] - Marked price of the product, measured in rupees.

[tex]r'[/tex] - Discount rate, measured in percentage.

If we know that [tex]C' = 13,500\,INR[/tex] and [tex]r' = 10[/tex], then the marked price of the product is:

[tex]C = \frac{13,500\,INR}{1-\frac{10}{100} }[/tex]

[tex]C = 15,000\,INR[/tex]

The marked price of the smart phone is Rs 15,000.

Answer: $1225.50

Step-by-step explanation:

Purchase price = $1075

Discount Percent = 14%

Discount = 14% × $1075

= 0.14 × $1075

= $150.50

Marked price = Purchase price + Discount

= $1075 + $150.50

= $1225.50

Answer:Linear Algebra Examples ... Linear Algebra. Solve by Substitution y=x+3 , y=2x-1 ... Eliminate the equal sides of each equation and combine. ... Subtract 1 1 from 8 8 . ... The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

n=-3.1

Step-by-step explanation:

2n+3=-3.2

2n=-6.2

n=-3.1

2n+3 =-3.2

2n= -3.2-3

2n= -6.2

n= -3.1

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

Answer:

15s + 25c is less than or equal to (the sign that’s pointing left with the aural sign under it) 1500

also d lol

Step-by-step explanation:

the stools are s and each stool cost 15$ same thing with chairs. the chairs are c and they cost 25$, they have to equal or be less than 1500$

Given : A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week . and graph

To Find :  Maximum profit , breakeven point , profit interval

Solution:

The maximum profit the florist will earn from selling celebration bouquets is $ 675

peak of y from Graph

The florist will break-even after  Selling 20     one-dollar decreases.

at breakeven

Break even is the point where the profit p(x) becomes 0

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0 ,20).

after 20 , P(x) is - ve

Answer: EDMENTUM AND PLATO

First Blank: $625

Second Blank: 20

Third Blanks: ( 0, 20 )

Step-by-step explanation:

I hope this helps you

IJH~IKL

IJ/IK=JH/KL=IH/IL

2.1/2.1+0.9=2.8/x

2.1/3=2.8/x

x=2.8*3/2.1

x=4

Answer:

20(x+15.5)

Step-by-step explanation:

Answer:

20(x + 15.5)

Step-by-step explanation:

Answer:

root4 by 2

Step-by-step explanation:

multiply the whole no with root5-root3 up and down also

Step-by-step explanation:

5 - 4 + 7x + 1 = 7x + 2.

If there are no solutions, then it is of the form 7x + c, where c is any real number besides 2.

If there is 1 solution, then it is of the form mx + c, where m is any real number besides 7 and c is any real number.

If there are infinitely many solutions, then it is of the form 7x + 2.

Answer:

C

Step-by-step explanation:

I just did the Assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

Answer:

9000000

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

when you solve for x you get -8 but when you pkug it back in both sides are not equal, making it extranious

Answer:

A

Step-by-step explanation:

took test

Answer:

10th bid is 292

Step-by-step explanation:

Here, as we can see, we have an arithmetic sequence and we want to calculate its 10th term

From the question, we can see that the first term a is 193

The common difference is 204-193 = 11

The formula for the nth term of a sequence is;

a + (n-1)d

In this case, n = 10

so we have ;

193 + (10-1)11

= 193 + 99 = 292

Answer:

yes

Step-by-step explanation:

Answer:

I'm confused

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

- 2x + y = 5 → (1)

- 5x + y = - 4 → (2)

Multiply (2) by - 1 then add to (1) to eliminate y

5x - y = 4 → (3)

Add (1) and (3) term by term to eliminate y

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

find the classmark of each interval

do the same up to (190+200)/2

then

draw a graph by using frequently (number of weeks) on y-axis against classmark on x-axis

Answer:

First you find the difference in temperature. Final temperature minus initial temperature. -43-17=-60 So for every 300m temp will minus 2C.

There's a difference of -60, how many -2 is in -60? So -60÷(-2)= 30. 30 times 300m = 9000m or 9km.

Step-by-step explanation:

Notice that 2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8...

The exponential function is y = 2^x.

Answer: X is 0.4

Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.

Answer:

3

Step-by-step explanation:

"Find a number which, when added to 3, yields 7"

may be written as:

3 + ? = 7, 3 + n = 7, 3 + x = 1

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

SOLVING EQUATIONS

Equations may be true or false, just as word sentences may be true or false. The equation:

3 + x = 7

will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.

Example 1 Determine if the value 3 is a solution of the equation

4x - 2 = 3x + 1

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.

4(3) - 2 = 3(3) + 1

12 - 2 = 9 + 1

10 = 10

Ans. 3 is a solution.

Answer:

5/4,2.5,3.7,4.75,5.5,6,28,29

Step-by-step explanation:

Answer:

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Step-by-step explanation:

Let

Pounds of raisins = x

Pounds of cashew = y

x + y = 5 (1)

4.50x + 9.50y = 40 (2)

From (1)

x = 5 - y

Substitute x = 5 - y into

4.50x + 9.50y = 40

4.50(5 - y) + 9.50y = 40

22.50 - 4.50y + 9.50y = 40

- 4.50y + 9.50y = 40 - 22.50

5y = 17.5

y = 17.5 / 5

= 3.5

y = 3.5lb

Substitute y = 3.5 into

x + y = 5

x + 3.5 = 5

x = 5 - 3.5

= 1.5

x = 1.5lb

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Answer:

Step-by-step explanation:

since there is no given formula I'm guessing that's what we want to find?

use the dist. = rate * time   formula for this kind of problem

or  d = r*t     ( this looks like the word  "dirt" to me so I call this the dirt formula partly b/c it's dirt simple, and it's generally about moving across some give dist. of dirt  :P )  

so Jean's rate is 64 MPH

her total distance is 448 miles  

rearrange the  d = rt  formula so that you are solving for the thing you don't know.. yet....   t (time)  for this case

soooo...

d/r = t

plug in number

448 / 64 = t

7 = t  (in hours)