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Nadya [2.5K]
2 years ago
15

Kate just bought a tv that measures 42 inches diagonally, and is 18 inches tall. She wants to place the tv into a 40 inch wide c

abinet. Will the tv fit and if so, how much room will be left (width) in the cabinet after the tv is placed?
Mathematics
1 answer:
VLD [36.1K]2 years ago
3 0

9514 1404 393

Answer:

  yes, about 2.05 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the width of the TV.

  w^2 +h^2 = d^2

  w = √(d^2 -h^2)

  w = √(42^2 -18^2) = √1440 = 12√10

  w ≈ 37.95 . . . inches

This dimension is less than 40 inches by a margin of ...

  40 -37.95 = 2.05 . . . inches

The TV will fit, with 2.05 inches of space remaining.

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You construct a budget to determine how much money you will need to start your own catering business. You take your savings of $
tatiyna

Answer:

Compound interest is the best.

Step-by-step explanation:

Simple interest is that which is not added to the initial capital once the term of the investment or credit has expired.

Compound interest is that which is added to the initial capital at the end of the investment or credit.

Simple interest:

I= C x i x t

15,000 * 0.05 * 5 = $ 750

Compound interest:

Cf= Ci (1+i)ᵗ

Cf = 15,000 * (1.039)^5 = $ 18,162.22

So, if Cf - Ci = I -> 3,162.22 is the compound interest.

8 0
2 years ago
How to compare 2 5/9 and 21/3
max2010maxim [7]

Answer:

2 5/9 is less than 21/3;  2 5/9 < 21/3

Step-by-step explanation:

<u>Step 1:  Convert 2 5/9 into an improper fraction</u>

2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9

<u>Step 2:  Convert 21/3 so the denominator is 9</u>

21*3 / 3*3 = 63/9

<u>Step 3:  Compare</u>

<em>23/9 < 63/9</em>

<em />

Answer:  2 5/9 is less than 21/3;  2 5/9 < 21/3

5 0
3 years ago
Read 2 more answers
4x+5=6x-7<br> How do I solve this?
vodka [1.7K]

Answer:

x=6

Step-by-step explanation:

4x+5=6x-7

4x-6x=-7-5

-2x=-12

x=-12/-2

x=6

3 0
3 years ago
Read 2 more answers
Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
Ber [7]
<h3>A median.</h3>

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.

When there are two middle numbers we average them.

We have:

3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2

Let's sort the numbers from the smallest to the largest

1, 1.4, 1.7, 2.1, <u>3.3</u>, 3.3, 3.9, 5.2, 7

<h2>The median is 3.3</h2>
8 0
1 year ago
Read 2 more answers
Solve for x given that CE=36. Show your work.
inna [77]

Answer:

<u>The answer for this equation is x = 7</u>

Step-by-step explanation:

1. Solve for x given that CE=36

9 + 3x + 6 = 36

3x + 15 = 36

3x = 36 - 15  (Putting x on the left side and all the numeric values on the right)

3x = 21

<u>x = 7 (Dividing by 3 at both sides)</u>

2. Proof of replacing x by 7

9 + 3 (7) + 6 = 36

9 + 21 + 6 = 36

<u>36 = 36</u>

<u>It proves that x = 7 is correct</u>

8 0
3 years ago
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