18) A TV screen has a length of 15 inches.

The diagonal of the TV is 25 inches. What

is the width of the TV?

A) 400 inches

B) 40 inches

C) 20 inches D) 29.2 inches

Answer:

x = 125°

y = 180-125 = 55°

Step-by-step explanation:

The angles should sum to 180 in a triangle.

Since the other two are 25 and 30, for the third one, 180-25-30 = 125 is left, which is x.

Now y and x are supplementary angles, which means that x+y is also 180°.

So y = 180-x = 55°

Answer:

y = 55°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 25° + 30° = 55°

Answer:

c)

Step-by-step explanation:

The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

A circle with center (-1, 2) and radius of 8.

Then the equation of the circle will be

(x – h)² + (y – k)² = r²

(x + 1)² + (y – 2)² = 8²

(x + 1)² + (y – 2)² = 64

Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.

Then the correct option is D.

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Answer:

x=22.5

Step-by-step explanation:

We are given the proportion:

5/x=2/9

Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.

5*9=2*x

45=2x

2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.

45/2=2x/2

45/2=x

22.5=x

If we substitute 22.5 in for x, the final proportion will be:

5/22.5=2/9

Answer: 22.5 = x

Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.

Answer:

The answer is 64.

Step-by-step explanation:

You only have to substitute the value of a, b and c into the expression :

[tex] {b}^{2} - 4(a)(c)[/tex]

Let a = 3,

Let b = 4,

Let c = -4,

[tex] {4}^{2} - 4(3)( - 4)[/tex]

[tex] = 16 - 4( - 12)[/tex]

[tex] = 16 + 48[/tex]

[tex] = 64[/tex]

Answer:

64

Step-by-step explanation:

Answer:

This is the angle in the angle in the fourth quadrant that verifies the given conditions:

[tex]\phi =\frac{11\, \pi}{6} \\[/tex]

Step-by-step explanation:

Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.

Also, the angle that renders

[tex]sin(\phi)=-\frac{1}{2}[/tex]

in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]

for such angle, also :

[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]

which verifies the second condition.

Answer:

-1/3

Step-by-step explanation:

All of the other numbers are less than -1/3

Answer:

-1/3 is the largest rational number

Step-by-step explanation:

[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]

-1/3 is the largest rational number

Answer:

       -7 ± √6

x = ----------------

              2

Step-by-step explanation:

You have several options here.  One would be "completing the square," and another would be "quadratic formula."

Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.

The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.

The roots are thus:

       -7 ± √6

x = ----------------

              2

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Answer: $27.50

Step-by-step explanation:

For all 5 tickets, Antone will pay

5 * 5.50 = 27.50

Answer:

B

Step-by-step explanation:

Answer: height = 7.96 cm

Step-by-step explanation:

Height = volume / πr^2

h = 100 / π*2^2

h = 7.96 cm

Answer:

By repeated subtraction.

Step-by-step explanation:

It is pretty much the same thing as division, but in subtraction. Since, Dividing and Subtraction are a like, repeated subtraction is a great example to use for this example

Hope this helps. :)

Answer:

kk so like, division is just repeated subtraction. like idk say you have 36 and you divide it by 9 so I think you just keep subtracting 9 until you reach 0? so you end up subtracting 9 four times which happens to be the quotient for 36/9. yeah. it's almost like how multiplication is just repeated addition.

Answer:44.61?

Step-by-step explanation:

Answer: True

Step-by-step explanation:

The temeprature is solely reliant on time, meaning its a function of time

Answer:

Step-by-step explanation:

All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.

for equal sign

(7x+30)=11x

30=11x-7x

30=4x

30/4=x

7.5=x

for plus sign

evalute

(7x+30)+11x

7x+11x+30

18x+30

factorize

(7x+30)+11x

18x+30

6(3x+5)

hope it help yuh..

Answer:

(4x-1)(4x-1)

(x-6)(x+5)

(3x-7)(3x+7)

(3x-1)(x+6)

Step-by-step explanation:

yes

Answer:

Option (4). {x | x is a real number}

Step-by-step explanation:

Domain of any function is defined by the x values (Input values) and range by the y-values (Output values).

Given function is f(x) = 3x - 2

When we graph this function, we get a straight line.

That means the given function is defined for all real numbers.

Therefore, domain of this function will be all real numbers.

Domain: {x | x is a real number}

Option (4) will be the answer.

Answer:

D) {x | x is a real number}

Answer:

9.8

Step-by-step explanation:

1:49= ratio of carbon to to iron

1+49= steel

50=10pounds

49=?pounds

49 * 10/50

=49/5

=9.8pounds

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

Answer:

The answer to number one is 11√17

The answer to number two is 4

Step-by-step explanation:

In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.

In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.

Answer:

[tex] \boxed{x = 10} [/tex]

Step-by-step explanation:

[tex] = > 2x + 12 = - 2(4 - 2x) \\ \\ = > 2x + 12 = (( - 2) \times 4) - (( - 2) \times 2x) \\ \\ = > 2x + 12 = - 8 - ( - 4x) \\ \\ = > 2x + 12 = - 8 + 4x \\ \\ = > 2x - 4x + 12 = - 8 \\ \\ = > - 2x + 12 = - 8 \\ \\ = > - 2x = - 8 - 12 \\ \\ = > \cancel{-} 2x = \cancel{- }20 \\ \\ = > 2x = 20 \\ \\ = > x = \frac{20}{2} \\ \\ = > x = 10[/tex]

Answer:

40 mph

Step-by-step explanation:

Recall that the slope of this line is also the speed at which the car was driven, and that, in turn, is:

 240 miles

-------------------  =  40 mph  

     6 hrs

Answer:

A. a triangle with an area of 20 square units

Step-by-step explanation:

note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10

Area of triangle = 1/2 * base * heighte

Area of triangle = 0.5*10*4

Area of trianle = 20 square units

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

Answer:

P(blue) = 1/3  (Answer)

Step-by-step explanation:

Probability for any event A is given by

p(A) = no of times of happening of event A/ total no of occurrence of all the event given under the situation.

____________________________________

A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles

So, total no of occurrence of all the event given under the situation

one can either pick blue , red or 4 green marbles

Total no. of occurrence of all the event = 5 + 6 + 4 = 15

Now , no of occurrence of selecting blue.

since there are 5 blue marbles, there is chance of selecting blue is 5.

no of occurrence of selecting blue = 5

Therefore,

P(blue) = no of occurrence of selecting blue /total no of occurrence of picking any color ball

P(blue) = 5/15 = 1/3  (Answer)

Answer:

d

Step-by-step explanation:

edge2020

Option D is correct. The exponential function is increasing when time goes and the total return on investment.

An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.

A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".

According to the question,

Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.

                    x                                                    f(x)

 a decreasing quadratic function                 10,000

 an increasing quadratic function               12,201.90

a decreasing exponential function              14,888.64

an increasing  exponential function             22,167.15            

Quadratic function f(x) = ax² +b x +c  a > 0

Exponential function f(x) = a. bˣ +q                                    

Hence, the exponential function is increasing when time goes and the total return on investment.

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Answer:

[tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3x} }{\sqrt{x-8} } =3[/tex]

[tex]\sqrt{3x}=3\sqrt{x-8}[/tex]

[tex]\left(\sqrt{3x}\right)^2=\left(3\sqrt{x-8}\right)^2[/tex]

[tex]3x=9x-72[/tex]

[tex]3x-9x=-72[/tex]

[tex]-6x=-72[/tex]

[tex]x=12[/tex]

Answer:

[tex] \frac{ \sqrt{3x} }{ \sqrt{x - 8} } = 3[/tex]

[tex] \sqrt{3x} = 3 \sqrt{x - 8} [/tex]

[tex]3x = (3 \sqrt{x - 8} )^{2} [/tex]

[tex]3x = 9(x - 8)[/tex]

[tex]3x = 9x - 72[/tex]

3x - 9x = -72

-6x = -72

x = 12

Answer: B. 3 3/4

Step-by-step explanation:

From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:

= 1/2 × 1 1/2

= 1/2 × 3/2

= 3/4 teaspoon of salt.

We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:

= 3/4 × 5

= 15/4

= 3 3/4