Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, what is the largest size TVin inches, that you can purchase? TV's are measured based on the diagonal measure. (1inch = 2.54cm) Write your answer as an integer.
Answers
Answer:
62 inches
Step-by-step explanation:
Since we need to leave 2 cm of room on both sides, the maximum width of TV is 136 - 2 - 2 = 132 cm. Next, use the Pythagorean Theorem, a^2 + b^2 = c^2, to find the diagonal.
132^2 + 86^2 = c^2
c^2 = 17424 + 7396
c^2 = 24820
c = 157.543644746 cm
Finally, convert the value to inches using the given conversion factor.
157.543644746/2.54 = 62.0250569868 inches
Related Questions
The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of the cone is 12cm.
i) Calculate the volume of the solid.
ii) Calculate the total surface area of the solid.
Answers
Answer:
575.8 cubic cm
Step-by-step explanation:
V(cone) = 1/3· π · r² · h
V = 1/3 · π · 25 · 12
V = 4(25)π or 100π = 314
V(half-sphere) = (4/3 · π r³)/2
V = (4/3π · 125) = 261.8
What is the fraction form of Sin 50° ÷ Sin 30°
Answers
Answer:
my insta is _luhbhabie_
Step-by-step explanation:
The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choice. Write a conjecture that relates the result of the process to the original number selected. Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract 2 from the quotient.
Answers
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: [tex]88 * 8 = 704[/tex]
Add 88: [tex]704 + 88 = 792[/tex]
Divide by 44: [tex]792/44 = 18[/tex]
Subtract 2: [tex]18 - 2 = 16[/tex]
Second: 10
Multiply by 88: [tex]88 * 10 = 880[/tex]
Add 88: [tex]880+88=968[/tex]
Divide by 44: [tex]968/44=22[/tex]
Subtract 2: [tex]22-2=20[/tex]
Third: 5
Multiply by 88: [tex]88*5 = 440[/tex]
Add 88: [tex]440+88=528[/tex]
Divide by 44: [tex]528/44=12[/tex]
Subtract 2: [tex]12-2=10[/tex]
Fourth: 2
Multiply by 88: [tex]88*2=176[/tex]
Add 88: [tex]176+88=264[/tex]
Divide by 44: [tex]264/44=6[/tex]
Subtract 2: [tex]6-2=4[/tex]
On a general terms:
Let the number be x.
Multiply by 88: [tex]88x[/tex]
Add 88: [tex]88x + 88[/tex]
Divide by 44: [tex]\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2[/tex]
Subtract 2: [tex]2x + 2 - 2 = 2x[/tex]
Notice that for every input x, the result is 2x
−4x+7y=3 what are the intercepts!!!!!
Answers
A store has 40 bags of potato chips on the shelf. Of those bags, 30 are cheddar-flavored. What percentage of the bags of potato chips are NOT cheddar flavored?
Answers
Answer:
25%
Step-by-step explanation:
30/40 = 0.75 = 75% which ARE cheddar flavored
100%-75% = 25%
Evaluate the expression.
2
3
(
−
7
)
+
2
3
(
−
5
)
3
2
(−7)+
3
2
(−5)
Answers
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!
An airline company does not charge an extra fee if the weight of a passenger's luggage is less than 55 pounds.
Part A
On the number line, represent the values when the airline company does not charge an extra fee.
Part B
Create an inequality that represents this situation. Let p represent the weight of a passenger's luggage
Answers
Answer:
Let's solve first the part B.
We know that the company does not charge an extra fee is the luggage is less than 55 pounds.
Then if p represents the weight of the passenger's luggage, we need to have:
p is smaller than 55 lb
We also can write this as:
p < 55lb
where the symbol "<"
means that the left side is strictly smaller than the right side.
If we want to be more precise in the notation, we also should have a lower limit.
0lb < p < 55lb
Where the lower limit is because the weight of the luggage can not be zero or smaller than zero.
This is the inequality we wanted.
Now, how we represent this on a number line?
when we have:
x > a
We represent this with a open circle at x = a (this means that x = a is not a solution) and we draw an arrow to the right of a.
and for:
x < a
we represent this with an open circle at a, and we draw an arrow to the left of a.
And if we have:
a < x < b
we draw an open circle at x = a and another at x = b, and all the points between these circles will be solutions.
You can see the graph of the inequality below.
Part A)
(where the point of the arrow should not be there, and both circles should be white)
what is the surface area of this cone
Answers
Answer:
14
Step-by-step explanation:
How long will it take John to walk 9 miles if he is walking at a speed of 3 miles per hour?
A.
5 hours
B.
4 hours
C.
9 hours
0 O
D.
3 hours
Answers
Answer:D. 3 hours
Step-by-step explanation:
The answer is D.
But I doubt he'll be walking for three hours straight.
Can someone please help me with the last three?? I don’t know what I keep doing wrong.
Answers
Answer:
1. 78.22%
2. 0.342%
3. 21.77%
Step-by-step explanation:
To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.
1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)
2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)
3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)
-3x + 7 = 1
what dose x represent
Answers
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
Do any of you know how to rewrite the equation
X+y=3
Into something where it has x= or y= instead of it =3?? I have to graph it on a graph but don’t know how to do it with the equation set up like this.
Answers
f(x) = -x + 2, find f(6)
Answers
Answer:
f(6)=-(6)+2=-4
........................
-6 + 2 = -4
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
Answers
Answer: 4 dollars for each notebook
Step-by-step explanation:
21-9= 12
12/3=4
each notebooks costs 4 dollars
Answer:
$4
Step-by-step explanation:
Is there any potential areas of bias or error due to the wording of this question, "Did you continue to use
marijuana after you realized using it was causing you problems with family, friends, or people at work or school?"
Answers
Replace the ? With one of the following symbols
Answers
Answer:
C. 2 +3 = 4 + 1
Step-by-step explanation:
An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.
Write a System of Equations that represents the 2 plans
For which months is Plan A the less expensive option? For which months is Plan B
the less expensive option?
Answers
Answer:
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months
Step-by-step explanation:
x represents months
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
The equilibrium is when both of these functions have the same value
25 + 8x = 5 + 12x
4x = 20
x = 5
Now we compare these two plans before the 5 months,
e. g. when x = 2
The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$
The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$
Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.
Make me the brainliest ;)
Help please? This is due in a few minutes.
Answers
Answer:
The mean is 33
Step-by-step explanation:
11 + 22 + 33 + 44 + 55 = 165.
165 / 5 = 33.
someone pls answer this-
Answers
20 came from temperature dropping 2 degrees every 30 minutes for 5 hours means that it dropped a total of 10 times, and 10x2=20 so the answer is 43
Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }
Answers
Answer:
last one, the same X cant have more than one Y.
Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?
A triangle is formed by Broadway, sixty-fifth street, and central park west. Broadway is the hypotenuse.
0.68 miles
0.81 miles
1.15 miles
1.44 miles
Answers
Answer:
b
Step-by-step explanation:
Help please please please please
Answers
Answer:
225000
Step-by-step explanation:
solve 3/5-(1/6+5/18)
Answers
Answer:
7/45
Step-by-step explanation:
IF U NEED THE STEPS LEMME KNOW
Solve the image, and you get points.
Answers
An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected?
Answers
Answer:
150,000.
Step-by-step explanation:
Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:
0.016 = 24
100 = X
100 x 24 / 0.016 = X
2,400 / 0.016 = X
150,000 = X
Thus, the total number of cameras that were inspected is 150,000.
P=D•W what does this mean in a formula
Answers
Heres a challenge!! Marking most Brainly:)))
Answers
Answer:
(30, 90) is a viable solution
(50, 160) is a nonviable solution
Step-by-step explanation:
(BRAINIEST AND 7 POINTS !) One year ago Derek joined a health club. He paid a yearly membership fee of $28 that covered all the club's services except the raquetball
court. Derek paid an additional $7 each time he used the raquetball court. For the entire year at the health club, Derek paid a total of $119.
PART 1: Write an equation to represent the number of times (x) that Derek used the raquetball court.
Equation:
PART 2: Solve the Equation your wrote for part 1.
X=
—————————————
This is worth 60% of my grade ! Please help.
Answers
Answer: 7x+28=119
x=13
Step-by-step explanation:
Answer:
119= 7x + 28
x=13
Step-by-step explanation:
This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.
119= 7(13) + 28.
factorise completely 4ab+6ac-6bd-9cd
Answers
Answer:
(2b+3c) × (2a-3d)
Step-by-step explanation:
plz mark as brainliest
The factors of 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
What are factors?Factors are those numbers or expressions which when together be multiplied results the same numbers whose factors they are. It can be found for equations and expressions as well. It includes those number which divides the given number to get another factor value.
How to find factors?We have been given expression 4ab+6ac-6bd-9cd and we have to find the factors of the expression.
Factorization can be done as under:
Expression=4ab+6ac-6bd-9cd
=2a(2b+3c)-3d(2b+3c)
[we have to take common expression from two terms like we did above]
=(2a-3d)(2b+3c)
Hence the factors of expression 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
Learn more about factorization at https://brainly.com/question/25829061
#SPJ2
1. (07.01 LC)
Look at the triangle:
What is the value of sin xº?
A) 12/13
B) 13/5
C) 13/12
D) 5/13
Answers
Answer:
D) 5/13
Step-by-step explanation:
Sin x = Opposite / Hypotenuse
Opposite side length = 5 cm
Hypotenuse length = 13 cm
Sin x = 5/13