The size of a TV set is described by the length of a diagonal of the screen. One TV is labeled as size 70cm. The screen is 40cm high.
What is the width of the screen?
Draw a diagram to illustrate your answer.

Answers

Answer 1

Answer:

Width of screen =57.44 cm

Step-by-step explanation:

Please refer to the attached image:

The TV screen is usually in the form of a rectangle.

The diagonal of the TV is termed as the screen size.

Size is given to be 70 cm

Height = 40 cm

As per the attached image:

BC = 40 cm

BD = 70 cm

Pythagoras theorem is given as:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Using pythagoras theorem in [tex]\triangle BDC[/tex]:

[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]

[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]

Hence, width of screen, CD =57.44 cm

The Size Of A TV Set Is Described By The Length Of A Diagonal Of The Screen. One TV Is Labeled As Size

Related Questions

what type of solutions does this equation have

Answers

Answer:

one real solution

Step-by-step explanation:

u^2 =0

Take the square root of each side

sqrt(u^2) = ±sqrt(0)

u = 0

Answer:

One real solution

Step-by-step explanation:

[tex] {u}^{2} = 0 \\ u = \sqrt{0} \\ u = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

38

is the correct answer

2(4x+3)=10x-2

So like how in hell do you do this I’m soooo confused

Answers

Answer:

4

Solution,

2(4x+3)=10x-2

or,8x+6=10x-2

or,8x-10x=-2-6

or,-2x=-8

or,X=-8/-2

X=4

Hope it helps

Good luck on your assignment

Answer:

x = 4

Step-by-step explanation:

First you want to distribute the terms:

2(4x+3) = 10x-2

8x+6 = 10x-2

then combine like terms:

8x+6 = 10x-2

-8x         -8x

6 = 2x-2

+2      +2

8 = 2x

x = 4

At Daisy Donuts, 5 of the last 20 donuts sold had sprinkles. What is the experimental probability that the next donut sold will have sprinkles? Write your answer as a fraction or whole number. P(sprinkles) =

Answers

Answer:

1/4

Step-by-step explanation:

5/20 donus had sprinkles

So the probability will be 5/20 = 1/4

Look at the right-angled triangle ABC.
A
320
B
С
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.​

Answers

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° triangle, the hypotenuse is StartRoot 2 EndRoottimes the length of each leg. Triangle X Y Z is shown. Angle X Y Z is 90 degrees and the other 2 angles are 45 degrees. The length of X Y is a, the length of Y Z is a, and the length of X Z is c. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. By combining like terms, 2a2 = c2. Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg? Substitute values for a and c into the original Pythagorean theorem equation. Divide both sides of the equation by two, then determine the principal square root of both sides of the equation. Determine the principal square root of both sides of the equation. Divide both sides of the equation by 2.

Answers

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the length of each leg.

Proof:

[tex]\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\[/tex]

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex]

Since a=b in an isosceles triangle:

[tex]a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2} \\\\c=a\sqrt{2} \\[/tex]

Therefore, the next step is to Determine the principal square root of both sides of the equation.

Answer: C and hoped this helped and please mark as brainlest.

A set of line segments has the lengths, 4,10, and 12. Would the segments form a triangle?

Answers

Answer:

Yes, the segments would form a triangle.

Step-by-step explanation

If the two shortest lengths are equal to or greater than the longest, it can form a triangle.

Answer:

yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

4+10 > 12  true

10+12 > 4  true

12+4 > 10  true

Then the three sides form a triangle

PLEASE HELP WITH THIS I NEED HELP PLEASE ANYONE!!!!!!!!

How much money does Ed earn in interest after 16 years if he deposits $600 dollars in an account that pays 2.75% annual simple interest?

A.$16.50
B.$336
C.$264
D.$864

Answers

The answer is $16.50

What is the slope of the line y=3?

Answers

Answer:

The slope is zero.

Step-by-step explanation:

Imagine the graph. [tex]y=3[/tex] would simply be a horizontal line. All horizontal lines have slopes of 0. You can also use the slope formula if necessary to try it out.

On the other hand, if the line was vertical (e.g. [tex]x=3[/tex]), then the slope would be undefined.

Answer: The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope.

Step-by-step explanation:  y=3  rewritten as  y=0x+3

For a line equation for the form of y=mx+b, the slope is m

m=0

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O V10
O 3

Answers

Answer:

[tex]\displaystyle d = \sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 4)

Point (4, 7)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]:                    [tex]\displaystyle d = \sqrt{(4-3)^2+(7-4)^2}[/tex]Subtract:                               [tex]\displaystyle d = \sqrt{(1)^2+(3)^2}[/tex]Exponents:                           [tex]\displaystyle d = \sqrt{1+9}[/tex]Add:                                      [tex]\displaystyle d = \sqrt{10}[/tex]

32. Find the coordinates M (x, y) of the midpoint of the line segment PQgiven P (-7,3) and Q
(5, -9)

Answers

Step-by-step explanation:

(0,-3)will be the mid point . PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME.

The answer is (1,-3)

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Stay safe....

Pls help in which number is the value of the 6 ten times the value of the 6 in the number 6,000?

Answers

Answer:

600

Step-by-step explanation:

if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.

The required number can be of type 6abcd where a,b,c,d ∈ [0,9].

Place value of 6 in 6000 = 6000

What is the place value?

Place value is the numerical value that a digit has by virtue of its position in a number.

So, for a place value ten times the place value of the 6 in the number 6,000,

We need a number in which the place value of 6 is 60000.

So, the required number can be of type 6abcd where a,b,c,d ∈ [0,9].

Hence, the required number can be of type 6abcd where a,b,c,d ∈ [0,9].

To get more about place value visit:

https://brainly.com/question/25137147

A cake is made out of 2 identical trapezoids. Each trapezoid has a height of 11 inches and base of 9 inches and 14 inches . What is the area of one of the trapezoid pieces

Answers

Answer:

Area is 126.5 inches^2

Step-by-step explanation:

Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;

A = 1/2(a + b) h

here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11

Plugging these values into the equation, we have

A = 1/2(9 + 14)11

= 1/2(23)11 = (23*11)/2 = 126.5 inches^2

hiiiiiiiiiiiiiiiiiiiii

Answers

Answer: $14.88x + $8.88y

Step-by-step explanation:

x represents adult ticket

y represents child ticket

Value of adult tickets = 14.88 * x

Value of child tickets = 8.88 * y

So the equation is

14.88x + 8.88y

Answer:

Hi

Step-by-step explanation:

According to my calculations, the answer is C.

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How much money should you save each month?

A. Always save 5% of your income

B. You must decide what you can afford

C. Save $50 from every paycheck

D. Only save your spare change

Answers

Answer:

I prefer 5% of your income should be saved each month

Answer:

b. you must decide what you can afford

Step-by-step explanation:

i just took the quiz and that's the correct answer

which statement is true?
A. Every integer is also an irrational number.
B. No irrational number is rational
C. Every irrational number is also a real number.
D. Every integer is also a real number.​

Answers

Answer:

b, c, d.

Step-by-step explanation:

Solve for f.

6(10 + 14f) = 4(–12 + 12f)

f =

Answers

Answer:

f = -3

Step-by-step explanation:

→Distribute the 6 to (10 + 14f), and the 4 to (-12 + 12f):

6(10 + 14f) = 4(-12 + 12f)

60 + 84f = -48 + 48f

→Subtract 48f from both sides:

60 + 36f = -48

→Subtract 60 from both sides:

36f = -108

→Divide both sides by 36:

f = -3

Answer:

-3

Step-by-step explanation:

6(10 + 14f) = 4(–12 + 12f)

Expand out

60 + 84f = -48 + 48f

Subtract -48 to both sides to bring the numerical to one side

108 + 84f = 48f

Minus 84f from both sides to isolate 12

108 = -36f

Divide both sides by -36 to isolate f

-3 = f

Which of the following inequalities are correct?
A - 2/3 < - 1/3
B. 0 > - 2/3
C. - 1/3 < -2/3

Answers

[tex]\text{In order for an inequality to be correct, the inequality has to be TRUE}\\\\\text{When we look at answer choice A, we see that -2/3 is less than -1/3}\\\text{This is true because -1/3 is closer to 0 on the number line, making it bigger}\\\text{than -2/3}\\\\\text{When we look at answer choice B, 0 is greater than -2/3. This is true}\\\text{because 0 is bigger than -2/3, since -2/3 is on the negative side}\\\\\text{When you look at answer choice C, -1/3 is less than -2/3. This is not}\\[/tex]

[tex]\text{true because -2/3 is not bigger than -1/3, since -1/3 is closer to 0.}\\\\\text{Therefore, answer choices A and B should be correct}[/tex]

how many people would it take to raise $ 841.00

Answers

Answer:

rhetorical question you have answered it already.....only you can

What is the answer for 2(x+1)-(x+1) ^2?

Answers

Answer:

Step-by-step explanation:

Answer: x+3^2

Step-by-step explanation:

2(x+1)-(x+1) ^2

2x-x+-x^2+1

x+-x^2+1

-x^2+1

Hope this helps

please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!!!!

Answers

Should be the first one

plz help me


The monthly salary of a man increased from N2,700 to N3,200. Find the

percentage increase

A 10% . B 15% . C 15.6%. D 18.5%​

Answers

Answer:

[tex]D[/tex]

Step-by-step explanation:

[tex]2700*(1+x/100)=3200[/tex]

[tex]1+x/100=3200/2700[/tex]

[tex]1+x/100=32/27[/tex]

[tex]x/100=32/27-1[/tex]

[tex]x/100=5/27[/tex]

[tex]27x=500[/tex]

[tex]x=500/27[/tex]

[tex]x=18.518518518518[/tex]

Given A(1, 7), B(8, 4) , and C(3, 10) ), which coordinate pair will make AB parallel to CD?

Answers

Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

A(1, 7)B(8, 4)C(3, 10)D(x, y).

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

If you want to learn more, you can read:

https://brainly.com/question/12858856

Find the area and perimeter of the composite shape below... WILL GIVE BRAINLIST FOR BEST ANSWER !!!

Answers

Perimeter:

3+3+2+3+10+3+3+6+2+3=38

Perimeter is 38

Area:

Shape a: 3*3=9

Shape b: 3*5=15

Shape c: 10*3=30

30+15+9=54

Area is 54

Step-by-step explanation:

The perimeter of a shape is all the outside measurements of its sides rogether. So, add all the sides.

[tex]3 + 3 + 2 + 3 + 3 + 3+ 10 + 3 + 3 + 6 \\ = 39[/tex]

So 39 is your perimeter.

As for the area, you could do this in many ways since this shape can be cut up into all sorts of smaller shapes, but I'm assuming you mean surface area. To get that, take the area of all the shapes there are in this one and then add them all together. I added an attachment of the areas I'm going to take. I separated the shape into three different ones.

These are all rectangles, and the area for a rectangle is lw.

So...

[tex]lw + lw + lw[/tex]

^This will be the formula to use for the area. Keep in mind, these are all different areas separately, so you do not combine the like terms (as tempting as it may be).

Now just substitute: 3×3 3×5 3×10

[tex](3 \times 3) + (5 \times 3) + (10 \times 3) \\ 9 + 15 + 30 \\ 54[/tex]

So 54 is your area.

Answers:

[tex]39cm[/tex]

[tex]54{cm}^{2} [/tex]

Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?

Answers

Answer:

2 Tetrahedrons combined create an Octahedron.

Step-by-step explanation:

Despite the lack of information.

The Plato Polyhedrons are Tetahedron, Cube (Hexaedron), Dodecahedron, Octahedron and Icosahedron. They are regular ones, made up by regular plane figures.

An Octahedron can be built by combining two pyramids. Each Tetrahedron is made up by 4 equilateral triangle.

Johnny earns $5 per day delivering newspapers. What equation shows how much money m he earns delivering papers for d days

Answers

Answer:

Step-by-step explanation: so, he earns 5 dollars every day, and he starts off with 0 with the y=mx+b form you would y or m in this case is equal to 5x or is this case d so ot would be m=5d

Answer:m=5d

Step-by-step explanation:

CONFUSED?!!!!!!!!! Just answer the middle question!!

Answers

Answer:

-16-(-45)

Step-by-step explanation:

If we subtract -45 from -16, we'll get the result 29

=> -16-(-45)

=> -16+45

=> 29

Answer:

-21 and 40.

Step-by-step explanation:

The two numbers from the list that have a difference of 29 are:

-21 and 40.

-21 - (-40)

= -21 + 40

= 29

The two numbers are -21 and 40.

3) What is the volume of a ball with a
diameter of 6 centimeters? Use 3.14

Answers

You can just google volume of a sphere calculator and plug the radius (3 cm) in :)

Find the value of x.
please i need the answer today.
Thank you.​

Answers

Answer:

x = 61.92751306

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =  opposite / adjacent

tan x = 15/8

Take the inverse tan on each side

tan ^ -1 (tan x) = tan ^ -1 (15/8)

x = 61.92751306

Answer:

Step-by-step explanation:

tan x = 15/8

tanx = 15/8    ... 1

cot x = 8/15..... 2

multiply 1 and 2

tanx * cotx = 15/8 * 8/15

x [ tan * 1/tan]  =  1

x = 1

hope it is correct. i just tried

B) Given equation is, 5x² - 3x -4 =0
On comparing with ax² +bx + c= 0 we get :
C) In fig .AB is 80m tall light house, the two ships are at C and D.

I had given the main answer in short now u do it ...
It's in your books mate find out !!

Answers

Answer : The First Answer is in the picture above and second question is incorrect ..

Step-by-step explanation:

Hope it works out !!

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