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ipn [44]
2 years ago
9

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

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
7 0

Answer:

404 inches

Step-by-step explanation:

Since a room of 2cm is to be left of either side of the TV, thus, the permissible required length of the TV is 136-2 = 134cm

Use Pythagoras Theorem,

h² = 134² + 86² = 17956 + 7396 = 25352

h = √25352 = 159.22 ≈ 159cm = 404.41 inches ≈ 404 inches.

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What are prime numbers
MAXImum [283]

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.


For example, 5 is prime because 1 and 5 are its only positive integer factors,


Step-by-step explanation:


6 0
3 years ago
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If leo is 6 years old and max is 12 years, how many years would it be until max is 3 times as old as leo
Ivan
<h2>Greetings!</h2>

Answer:

If Leo is 6 and Max is 12 years older, Max is 18.

This means that max is already three years older than Leo:

6 * 3 = 18 , which is Max's age.


<h2>Hope this helps!</h2>
7 0
3 years ago
Two perpendicular lines have opposite y-intercepts. The equation of one of these lines is y = mx + b. Express the x-coordinate o
Fofino [41]

Answer:

x = -2bm/(m²+1)

Step-by-step explanation:

One line has equation

... y = mx + b

The slope of the perpendicular line is the negative reciprocal of the slope of the original line. The perpendicular line with the opposite y-intercept has equation

... y = (-1/m)x - b

The point of intersection is where the x- and y-values are equal, so ...

... mx + b = (-1/m)x - b

... (m +1/m)x = -2b . . . . . . . add 1/m - b to both sides

... (m²+1)x = -2bm . . . . . . . multiply by m

... x = -2bm/(m²+1) . . . . . . divide by the coefficient of x

6 0
3 years ago
Who is the theorem named after Pythagorean theorem
Illusion [34]

Answer:

Pythagoras of Samos

Step-by-step explanation:

5 0
3 years ago
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Urgent! Will award brainliest...<br> Factor the following polynomial:<br> <img src="https://tex.z-dn.net/?f=3a%5E%7B2%7D-21a%2B3
umka2103 [35]

Answer:

3 (a-2) (a-5)

Step-by-step explanation:

The first step is to find the GCF. Here, it's 3.

3(a^2-7a+10)

Then, you factor the polynomial in the parenthesis.

To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.

a^2-2a-5a+10

This of this polynomial as 2 problems.

a^2-2a        -5a+10

Then, factor again.

a^2-2a        -5a+10

a(a-2)       -5(a-5)

Then, you keep the factors in parenthesis, and combine the numbers on the outside.

(a-2)(a-5)(a-5)

Since, there are 2 of the same factor, you only need one.

(a-2)(a-5)

BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:

3 (a-2) (a-5)

7 0
3 years ago
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