bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.

Answers

Answer 1

Answer:

C) 36 inches

Step-by-step explanation:

Let the diagonal be the hypotenuse and use Pythagoras' Theorem:

[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]

So, the length of the TV was 36 inches.


Related Questions

Please factorise 14cd – 7c

Answers

Answer:

7c (2d - 1)

Step-by-step explanation:

Common factorization

Answer:

[tex]\bold{ 7c(2d - 1)}[/tex]

Step-by-step explanation:

[tex]\sf \rightarrow 14cd - 7(c)[/tex]

take 7(c) as common factor

[tex]\sf \rightarrow 7c(2d - 1)[/tex]

factorised

[tex]\sf 7 c(2d - 1)[/tex]

A store sold 200 cell phone covers in April. The circle graph shows the
percent of each color sold in that month. How many more black covers
were sold than blue covers?

Answers

Answer:

24

Step-by-step explanation:

Given

Total is 200

From the attachment, we have:

Required

Black- 35%

Blue-23%

How many more of black than blue were sold

First, calculate the difference in percentage sold

Multiply by the total phones sold;

Hence, 24 more blacks were sold than blue

Hope this helps

Brainliest appreciated :)

Answer:

The answer is 24

Step-by-step explanation:

The total amount of phone covers were 200.

35% of those were black.  So, 200 x 35% (or 200 x .35) = 70.  

70 of the phone covers sold were black.

23% of the covers were blue.  So, 200 x 23% (or 200 x .23) = 46

46 of the phone covers sold were blue.

How many more black covers sold than blue covers means we subtract.

70 black covers - 46 blue covers = 24 more black covers sold.

Help my 9 year old sister please

Answers

He got that because he multiplied 28 by 7

Answer:

He multiplied 28 by 7 instead of dividing it.

28 times 7 equals 196.

Step-by-step explanation:

I hope this helps! Have a lovely day!!! :)

Hello, pls help. Ty!
[tex] [/tex]​

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

Question #1

line DE is the segment bisector as it bisects the line segment AC

Question #2

A bisector divides a line in halfSo, AB = 1/2ACAB = 1/2 x 20 = 10 cm

Question #3

Similarly, it divides the line in half in this case as wellBC = 1/2AC or AC = 2BCAC = 2 x 7 = 14 cm

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

Slope-intercept Form: y = 3/4*x -2

Step-by-step explanation:

From looking at the graph we can get out slopes which is rise/run and y-intercept.

m = 3/4 and b = -2

Slope-intercept Form: y = 3/4*x -2

If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.

which statement about the transformation is true? A. the unshaded octagon is a reflection because it is a flip over a diagonal line B. the unshaded octagon is a dilation because it is smaller than the shaded octagon C. the unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon D. the unshaded octagon is a vertical translation because it is directly under the shaded octagon

Answers

A)

If you draw a diagonal line going down and crossing the origin, you can see that the figure reflects over that line. It’s like a mirror.
It is not the case for horizontal reflection because then it had to be reflected to the left of y-axis and it is not vertical reflection because then it would reflect below the x-axis

terry had his car repaired ace auto. he was charged $40 per hour of labor plus 200 for parts. his total bill for the repair before tax was $380. how many hours of labor was terry charged for? write an equation

Answers

Answer:

  380 = 40h +200 (equation)

  4 1/2 hours (solution)

Step-by-step explanation:

The total cost is the sum of labor cost and parts cost. The labor cost depends on the number of hours.

__

An equation describing Terry's charges might be ...

  total = labor cost + parts cost

  380 = 40h +200 . . . . . . labor was $40 per hour for each of h hours

  180 = 40h . . . . . . subtract 200

  4.5 = h . . . . . . divide by 40

Terry was charged for 4 1/2 hours of labor.

Tori made a scale drawing of an Italian
restaurant. The restaurant's kitchen is 2
millimeters long in the drawing. The actual
kitchen is 16 meters long. What scale did Tori
use for the drawing?
1 millimeter :
meters

Answers

Step-by-step explanation:

2mm : 16m

so to get 1mm you need to divide 16 by 2

16/2 is 8 therefore

1mm : 8m

1 millimeter represents 8 meters in real life

hope that helps :)

how do you simplify (y+z)^3

Answers

Answer: y3+3y2z+3yz2+z3

Step-by-step explanation:

(y+z)3

=(y+z)*(y+z)*(y+z)

=(y+z)(y2+2yz+z2)

=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)

=y3+2y2z+yz2+y2z+2yz2+z3

=y3+3y2z+3yz2+z3

Nine is 2% of what number?​

Answers

Answer:

450

Step-by-step explanation:

9=1/50 times x

x=450

Multiply and divide rational expressions and simplify the answer

Answers

Answer:

1. 32x/15

2. 2/x-4

3. 1/10x+10

4. 3x^6/5x^9

5. (x-3)(x-9)/6

6. x^2/3

Step-by-step explanation:

multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.

Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.

Answers

Answer:

<(6/√85),(7/√85>

Step-by-step explanation:

Let vector o = 6i + 7j,

The magnitude, | o | = √(6²+7²) = √85

Unit vector, ô = (6i + 7j)/√85

= (6/√85)i + (7/√85)j

In component form, ô = <(6/√85),(7/√85>

Find the area of the shape.

Answers

I hope I can help you:)

a) Write an expression to represent the amount of money you
should have in the following situation.
Angela has $29 in her wallet. She gets paid $19 per hour and she
worked 8 hours last week and 6 hours this week. Then her friend
friend Tom borrowed $58.
b) How much money does Angela have left ?

PLEASE ANSWER THIS. I have an assignment due soon :((

Answers

Answer: $237

Step-by-step explanation:

Angela: 29 + 19(6 + 8) - 58

= -29 + 19(14) = -29 + 266 = $237

find out 6c+4dc when c=4.5 and d=6.6
show how to do it step by step​

Answers

Answer:

145.8

Step-by-step explanation:

6c+4dc, where c=4.5 d=6.6

6(4.5) + 4(6.6) (4.5)

27 + 118.8

=145.8

A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?​

Answers

Answer:

12.0

Step-by-step explanation:

we solve using the pythagorean theorem.

sqrt of (12.5^2 - 3.5^2)

answer is 12

rounded of to the nearest tenth is 12.0

A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?

Answers

Answer:

157 if youre going by 3.14

157.08 if youre going by π

Step-by-step explanation:

you want to find the circumference

circumference is 2πr

the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle

2 * 3.141 * 25 = 157

The length of the path that goes around the outside of the circle stands at 157.08 meters.

What is a circle?

A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.

Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.

Now, the perimeter of the circle exists the length of the path that goes around the outside.

Thus, the perimeter of the circle stands,

Perimeter = π × Diameter

        = π × 50 meters

        = 157.07963 meters ≈ 157.08 meters

Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.

To learn more about the circle

https://brainly.com/question/23580895

#SPJ2

Write an equation in point-slope form for the line that passes through the points (f, g) and (h,j).

Answers

Point-Slope Form

Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the line

To write an equation in point-slope form:

Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]

Solving the Question

We're given:

The line passes through the points (f,g) and (h,j)

Solve for the slope (m):

[tex]y-y_1=m(x-x_1)[/tex]

⇒ Plug in the point (f,g) as (x,y):

[tex]g-y_1=m(f-x_1)[/tex]

⇒ Plug in the point (h,j) as (x₁,y₁):

[tex]g-j=m(f-h)[/tex]

⇒ Isolate m by dividing both sides by (f-h):

[tex]\dfrac{g-j}{f-h}=m[/tex]

Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].

Plug the slope into the general equation:

[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]

Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

Answer

There can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

(3x10^-4)(5x10^8) in scientific notation

Answers

Answer:

[tex]15 \times {10}^{4} [/tex]

Step-by-step explanation:

[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]

For which values of x is the expression undefined x-8/x-5

Answers

Answer:

(x+10 (3x-45) is the answer of the question so easy

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)

Answers

Answer:

Step-by-step explanation:

hello :

dy/dx = 3y sin x    means : (1/3) dy/y =sinx dx.....continu  integ

Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.

Answers

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?

X=_____

Answers

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer:

97

Step-by-step explanation:

Given:

Opposite = 65Adjacent = 72Hypotenuse = x

Definition:

Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.

To find:

Value of x

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

a = oppositeb = adjacentc = hypotenuse

Note:

a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97

PLEASE HELP what is the remainder if 3⁷³ is divided by five please and BRAINLIEST​

Answers

Answer:

3

Step-by-step explanation:

3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,

3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.

The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?

Answers

Answer: 1680

Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2

Find all values of t which the balls height is 23 feet.

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Given function

h = 3 + 44t - 16t²

We need to calculate the possible values of t at h = 23 feet.

Subsituting h = 23,

23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0

Solving for 't' using quadratic formula

t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8

Solutions

t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 seconds

Answer:

t = 2.175 s (3 dp)

t = 0.575 s (3 dp)

Step-by-step explanation:

Given equation: [tex]h=3+44t-16t^2[/tex]

To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:

[tex]\implies h=23[/tex]

[tex]\implies 3+44t-16t^2=23[/tex]

[tex]\implies 16t^2-44t-3+23=0[/tex]

[tex]\implies 16t^2-44t+20=0[/tex]

Factor out common term 4:

[tex]\implies 4(4t^2-11t+5)=0[/tex]

Divide both sides by 4:

[tex]\implies 4t^2-11t+5=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Use the quadratic formula to solve for t:

[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]

[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]

Therefore,

t = 2.175 s (3 dp)t = 0.575 s (3 dp)

help please!!!!!!!! please be correct

Answers

Answer:

Step-by-step explanation:

the answer is 66. To find the third angle subtract 80 and 34 by 180.

Select the two values of x that are roots of this equation.
x² + 34-3=0
. A. X=
-3+2/3
2
B. X=
-3-3
N
I X =
C. x.-3+27
=
1/21
2
O
D. *= -3-V21
=
2

Answers

Answer:

A. x=3 2.3

B . x=8

C. x=i do not know.

D. x=26

Step-by-step explanation:

A. -3+2/3=2

-3+2/3=-2 1/3

-2 1/3+3 2/3.=2

B. -3-3n=1

-3-3=-6n

-6n+8=1

C i do not understand.

D. -3-v21=2

21√5

Decimal Form:

1.0796532

or -24=2

-24+26=2

John's water bill this month was $19.67 . Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?

Answers

Answer:

0.001967 per gallon

Step-by-step explanation:

19.67/10000 = 0.001967

How many different ways can the letters of grade be arranged?
( I have to use permutation to solve please and thank you )

Answers

Answer:  120 different ways

Explanation:

Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.

In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.

Alternatively, you can use the nPr permutation formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.

Answer:

120 ways

Step-by-step explanation:

The given word is :

GRADEIt has five letters

⇒ Any of the 5 letters can be in each place

⇒ 5! ways is the number

⇒ 5 x 4 x 3 x 2 x 1

⇒ 20 x 6

120 ways

Other Questions
why were many african americans hesitant about moving from the south? Solve the picture for n What year began the great migration? Which type of hackers break into systems for the thrill or to show off their skills?. Describe the steps by which oxygen moves from the environment to cells in the body and carbon dioxide moves from cells to the environment. Please help me with this question feedback would be appreciated! What mass of water is in a calorimeter where 225.0 J of heat aretransferred to the water from a heated piece of metal and thetemperature of the water is increased by 4.00C? This is important for an exam tommorow.Pls answerWhich option completes the phrase below to make a grammatically correct sentence? Samita was walking down the street, __________ A. when she saw a peculiar looking man limping across. B. but she saw a peculiar looking man limping across.C. because she saw a peculiar looking man limping across. D. while she saw a peculiar looking man limping across. Rewrite each equation without absolute value for the given conditions. y=|x-3|+|x+2|-|x-5| if -2 how can magnets cause objects to have kinetic energy?please help asap Hallar M=64(n+2)=141(5)Ayuda en este ejercicio porfa :,( which of the following is a simple sentence? the corn that we purchased yesterday was not as fresh as some we had this season. the corn tasted good, and it had no preservatives. the corn had no preservatives. after reading the label, i knew the corn had no preservatives Find the mean of the data set without the outlier.Then, find the mean of the data set with the outlier. 6. Why is it a good idea to avoid heavy carbs and sugars the morning of test? criture Suivez ces indications pour crire une composition. crivez un paragraphe dans lequel vous: parlez de la dernire fois que vous avez prpar un dner, un djeuner ou un petit-djeuner pour quelqu'un. mentionnez les endroits o vous avez achet les ingrdients et leurs quantits. dcrivez comment vous avez mis la table. dcrivez les ingrdients que vous avez utiliss pour prparer le(s) plat(s) Factorise fully 21a-7a Greg is "laid back." He is comfortable with himself and interacting with others. Greg is low in what? It is known thatthe pair of values x = 3 and y =8 is a solution to the equation5x +by =17. Find the value of the coefficient b. What are the disadvantages of using artificial blood brainly stion 3Define the law of moments. It is applicable to a certain condition of the acting forces.Name the condition.