a store found out that 10% of people who had bought a certain brand of a coffee grinder were unhappy with it. if there were 72 people who were happy with it, then how many people in total had bought that brand

[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]

The solution of the linear equation is x = 0.

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

[tex]\rm 2(x-3)+ 9=3(x+ 1) +x[/tex]

The value of x is determined in the following steps given below.[tex]\rm 2(x-3)+9=3(x+1)+x\\\\2x-6+9=3x+3+x\\\\\ 2x+3=4x+3\\\\3-3=4x-2x\\\\0=2x\\\\x=0[/tex]

Hence, the solution of the linear equation is x = 0.

To know more about linear equations click the link given below.

brainly.com/question/5085290

Answer:

x=0

Step-by-step explanation:

...

Answer:

This isnt much of an answer just something to help-

Try doing A(1 + B)^I

Answer:

Step-by-step explanation:

                multiplying the first bracket with the second (step by step)

          = 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)

          = 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6

          =5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6

Answer:

I would say about 60%

Step-by-step explanation:

since odd numbers are 3 of the 5 total cards 3/5 gets you 60% likely to pull qn odd number.

Answer:

20 m^2

Step-by-step explanation:

Area of base rectangle + area of triangle atop the rectangle = total area

8x 2                                 + 1/2 4 * 2

 16               +        4    = 20 m^2

Answer:

The blank would be 2.

Step-by-step explanation:

Step 1. Notice that a equals 2.
Step 2. See that 7a means 7 x a
Step 3. See that theblank equals 7x2
Step 4. Get the answer of 14 (if needed)
I hope this helps! :)

Answer:

You would put 2 in the little box

Step-by-step explanation:

When there is a letter right next to a number, you are multiplying. The expression would be 7x2 giving you the answer of 14

Hope this helped!

Answer:

A

Step-by-step explanation:

8-3=5

9/10 -4/10 =5/10

since 5/10 can be simplified to 1/2, it is A

A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?

The base of the given parallelogram is

Area of a parallelogram is defined as the product of its base and height respectively. Mathematically;

→ Area of parallelogram = base * height

By substituting the given values in the formula, we get the following results:

→ 37 = base * 4

→ base = 37/4

→ base = 9.25

Hence, the base of the given parallelogram is 9.25 feet.

Let's know something more about a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral whose opposite sides are parallel and hence its opposite angles are also parallel.

What is the formula of a parallelogram?

Let ‘B’ be the base and ‘H’ be the height of a parallelogram then its area is given by,

→ Area of parallelogram = B * H

What is unit of parallelogram?

The unit of a parallelogram is square units.

Answer:

d= 50m

Step-by-step explanation:

I used the Pythagorean Theorem to solve this.

30^2+ 40^2= x^2

900+1600=x^2

2500=x^2  

x=50

Answer:

Please also attach the figure or the pattern like this.

option B

Cos theta is positive and sin theta is negative in quadrant IV

[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       [tex]\sf x =\sqrt{9}\\\\x = 3[/tex]

[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]

Answer:

388.79 (nearest hundredth)

Step-by-step explanation:

Given sequence:  324, 54, 9, ...

Therefore:

[tex]a_1=324[/tex]

[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]

Sum of a finite geometric series:

[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]

Sum of the first 6 terms → n= 6:

[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]

Step-by-step explanation:

As the points A, B, C and D lie on a circle, So, ABCD is a cyclic quadrilateral...

As, Sum of opp. ∠s in a cyclic quadrilateral = 180°

∴ ∠ADC + ∠ABC = 180°

=> ∠ADC + 100° = 180° => ∠ADC = 80°

Now,

Sum, of all angles in a traingle = 180°

In ΔACD, ∠CAD + ∠ADC + ∠ACD = 180°

=> ∠CAD + 80° + 40° = 180°

=> ∠CAD = 180° - 80° - 40° = 60°

As CT is tangent to the circle at the point C and CD is a chord of the circle, So

∠DCT = ∠CAD........(∠s in alternate segments are equal,,So ∠CAD = 60°)

=> ∠DCT = 60°

Answer:

See below ~

Step-by-step explanation:

∠ADC

∠DCT

Answer:

divide it into a triangle and a segment then use Pythagoras thereom

Answer:

27 people can eat pizza at Jim's Party

Step-by-step explanation:

If you divided each pizza by 3, 3 people a pizza right, so 3 x 9 would get you the number of people that can eat pizza at the party, hope this helps! :D

Answer:

44 square units

Step-by-step explanation:

We can split the figure into 4 separate figures :

Area of the left triangle

Area of the right triangle

Area of the rectangle

Area of the right triangle

Area of the figure

Answer:

C He can return to a career that is expected to grow faster than most industries.

Step-by-step explanation:

Answer:

It's C, Not Capping

Step-by-step explanation:

Got 100% On The Unit Test Review :)

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x = 79.6

Step-by-step explanation:

[tex] \sin( 0) = \frac{opp}{hyp} [/tex]

↓

[tex] \sin(31) = \frac{41}{x} [/tex]

↓

[tex]x = \frac{41}{sin31} [/tex]

↓

x = 79.6

Answer:

right answer

Step-by-step explanation:

A guy name Mac answered a similar question so it’s right.

the sum of all the angles in a triangle is 180°

65°+20°+x = 180°

85°+x = 180°

x = 95°

hope it helps...!!!

Check the picture below.

[tex]\cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{38.4}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{19.2}{2(19.2)}\implies \cfrac{18}{18+x}~~ = ~~\cfrac{1}{2} \\\\\\ 36=18+x\implies 18=x[/tex]

D. 31                                            ( roundest to the nearest whole number)

[tex]\dashrightarrow \ \sf \dfrac{683}{22}[/tex]

[tex]\dashrightarrow \ \sf 31\dfrac{1}{22}[/tex]

[tex]\sf \dashrightarrow \ 31.04545[/tex]

Answer:

no false it has infinite

Answer:

[B] [tex]y=log_3x[/tex]

Step-by-step explanation:

Given:

[tex]y=3^x[/tex]

Exchange the variables:

[tex]x=3^y[/tex]

Putting the variable y on the left side of the equation:

[tex]3^y=x[/tex]

Applying the logarithm properties:

[tex]y=log_3(x)[/tex]

Thus,

[tex]f^-^1=log_3(x)[/tex]

Hence, the answer is [B] [tex]y=log_3x[/tex]

~lenvy~