the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high. how Long is the base of the screen?

Step-by-step explanation:

Equations:

68.75 = 0.5c + 1.25m

c + m = 100

First, let's get rid of one of the variables. Let's start with the simplest equation first. Let's move a variable, so that only one variable is equal to the rest of the equation.

c + m = 100 to c = -m + 100

(it doesn't matter which variable)

Next, since we have what variable c is equal to, we will now incorporate it into our more complex equation.

68.75 = 0.5(-m + 100) + 1.25 m

Now, to get rid of the parentheses, and just have a regular addition equation with the only variable being m.

68.75 = -0.5m + 50 + 1.25m

Next, we need to make it so that there is only one version of the variables. Just combine the variables together so that the form one cohesive unit.

68.75 = 0.75m + 50

Now, we are going to do the same thing that we did in our first equation (with a mix of the last step we just did), but instead of variables, we are going to do it with the whole numbers instead, and converge them onto one side of the equal sign. Keep in mind that at this step in the process, the variable with it's cohesive unit should be isolated on one side of the equal sign and the other being taken up solely by whole numbers.

118.75 = 0.75m

Now, we just need to make the variable equal to 1 (or just m). So we must either multiply or divide. In this case we will be multiplying both sides by 0.75.

118.75 x 0.75 = 0.75m

So, after this step, you should have an answer of;

89.0625

However, you can't just sell a 0.0625% portion of something to somebody (especially muffins, like come on). Also, the amount of cookies and muffins must be equal to 100 and each variable is in whole numbers (usually).

*Always make sure that when you are done with a problem that you double check it. Usually, with equations like this, you just plug in the variables into the equations, and if they fit both equations, you've done well.

From this point forward, I'm leaving you to your own devices. It's 2:38 a.m. and I need to get up at 7:15. I hope this helps!

Answer:

1

Step-by-step explanation:

Hope this helps

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

Answer:

1/2 or one half

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, divide yB - yA by xB - xA.

(yB - yA)/(xB - xA)

(2 - 5)/ (-2 - 4)

-3/-6

Dividing two negatives make a positive.

0.5

The slope is 0.5, or 1/2.

Answer:

No

Step-by-step explanation:

The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.

A function cannot have two y-values assigned to one x-values.

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

Answer:

5 left 7 down

Step-by-step explanation:

The correct set of steps to translate f(x) = 6ˣ to g(x) = 6ˣ⁻⁵ – 7 is to shift f(x) = 6ˣ  five units to the right and seven units down.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The functions are given in the question, as follows:

f(x) = 6ˣ and g(x) = 6ˣ⁻⁵ – 7

Consider the graph of f(x) = 6ˣ.

Shifting the graph seven units to the right means that each x-coordinate of a point on the graph will be decreased by five. This will result in a horizontal shift to the right of the graph.

Shifting the graph seven units down means that each y-coordinate of a point on the graph will be decreased by seven. This will result in a vertical shift downward of the graph.

Therefore, the new equation of the translated graph will be g(x) = 6ˣ⁻⁵ - 7.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ6

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

Answer:

domain t = (-∞,∞)

range D = (-∞,∞)

Step-by-step explanation:

domain t = (-∞,∞)

range D = (-∞,∞)

Answer:-12y -7

Step-by-step explanation: I think

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

Answer:

3(3+2b)

or

2b +9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3b+5-9b-9+6b

=3b+6b-9b+5-9=-4

Answer:

He drank 16 ounces

Step-by-step explanation:

Because you just make 80% a decimal 0.80. and you multiply that by 20. And you get 16

Answer:

A

Step-by-step explanation:

It may look like it failed but it didn't. Nun of the points duplicate

Answer:

Answer:

help calll me daddy

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Longest side = hypontenuse   shorter sides = legs

2.  x=-2

3. Something in data that differs significanttly from the other data.

how are you not knnow this

2) -2, checked

3) a data point on a graph or in a set of results that is very much bigger or smaller than the next nearest data point.

i have no idea on the fist one, sorry, but hope the rest helped

Answer:

600,000,000

Step-by-step explanation:

Simplify the expression.

Scientific Notation:

6 ⋅ 10 ^8

Expanded Form:

600000000

3*10³/5*10-⁶

3*10⁹/5

600000000 or you can write 6*10⁸

Answer:

The answers are as follows:

5. [tex]12+3 = 3+12[/tex]

7. [tex](6+4)+8 = 6+(4+8)[/tex]

9. [tex](10*5)*7 = 10*(5*7)[/tex]

Step-by-step explanation:

5. 12 and 3

Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:

a+b = b+a

For the given question, the commutative property will be:

[tex]12+3 = 3+12[/tex]

Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.

It can be stated as:

(a+b)+c = a+(b+c)

7. 6,4 and 8

The associative property will be:

[tex](6+4)+8 = 6+(4+8)[/tex]

9. 10,5 and 7

[tex](10*5)*7 = 10*(5*7)[/tex]

Hence,

The answers are as follows:

5. [tex]12+3 = 3+12[/tex]

7. [tex](6+4)+8 = 6+(4+8)[/tex]

9. [tex](10*5)*7 = 10*(5*7)[/tex]

Answer:

gracias por los puntos amiga

Answer:

34 inches cubed

Step-by-step explanation:

1×4×8.5=4×8.5=2×17=34

Answer: -2

Step-by-step explanation:

2(h -3.5) = -11 Distributive property

2h - 7 = -11. Add 7 to both sides

2h = -4. Divide both sides by 2

h = -2

Answer: The answer is -2 :)

Step-by-step explanation: 2(h -3.5) = -11  distributive propert

2h-7=-11 Add  -7 to both side

     +7  =+7

2h=-4 Divide 2 to both side

2  =  2

h=-2

Answer:

no.c is ther your answer

Answer:

x = 52

m<ACD = 159

m<ACB = 21

Step-by-step explanation:

1) Set up an equation.

2x + 55 = 3x + 3 (the two interior angles on the opposite of the triangle and the exterior angle are equal to the exterior angle)

2) Solve for x.

2x + 55 = 3x + 3

-x + 55 = 3

-x = -52

x = 52

3) Substitute 'x' into each angle required to find m<ACD and m<ACB.

m<ACD = 3(52) + 3

= 156 + 3

= 159

CHECK:

2(52) + 55 = 159

104 + 55 = 159

159 = 159

m<ACB + m<ACD = 180

m<ACB + 159 = 180

m<ACB = 21

Answer:

that truck must be straight fire

The answer is 46 percent

Answer:

The answer is "13%".

Step-by-step explanation:

[tex]P_0 = 30\\\\D_1 = 0.90\\\\P_1 = 33\\\\[/tex]

[tex]Increase = 33 - 30 + 0.90\\\\[/tex]

              [tex]= 3+0.90\\\\=3.90[/tex]

[tex]\text{Calculating increasing }\% :[/tex]

[tex]= \frac{3.90}{30} \times 100 \\\\= \frac{390}{30} \\\\= \frac{39}{3} \\\\= 13\%[/tex]

Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

the answer

3. k>4

step by step

Answer:k>4

Step-by-step explanation: I got it right on the test :)