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quester [9]
3 years ago
12

At the electronics store, television screens are sized by the lengths of their diagonals. The television that Ms. Duckworth want

s to buy has a 51 inch diagonal. The width of the screen is 44 inches. What is the height of the screen? Type your numerical answer only and round your answer to the nearest tenth.
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

55.8

Step-by-step explanation:

44 ^ 2 = 1936

b ^ 2 = 55 .8 ^ 2

51 ^ 2 = 2601

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How much does one case cost
nadya68 [22]

So for this we will be using a system of equations, with one equation representing Shakira's sales and the other representing Jeff's sales. Our equations are such (Let x = oranges and y = grapefruit)

5x+8y=235\\ 3x+2y=85

For this, I will be using the elimination method. So firstly, multiply both sides of the second equation by -4: -12x-8y=-340

Next, add 5x+8y=235 and -12x-8y=-340 to get -7x = -105 . From here we can solve for x.

For this, just divide both sides by -7, and your answer is going to be x = 15.

Now that we know what x is, just substitute x for 15 in either equation to solve for y. For this I will be using the second equation.

3(15)+2y=85\\ 45+2y=85\\ 2y=40\\ y=20

Since we know that oranges cost $15 and grapefruit cost $20, just add them together to get your answer, which is $35.

7 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)

\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)

both with 0\le t\le1. Then

\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}

6 0
3 years ago
Use a unit multiplier to convert<br> $15.00 per hour to dollars per<br> minute. Show your work.
torisob [31]
$15/1 hour= $15/60 minutes= $0.25/1 minute (did this by diving 15 by 60)
3 0
2 years ago
]7. A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximate
Pani-rosa [81]

Let d be the number of days and h be the height

h = 13 + 0.6d


Answer: (a) h = 13 + 0.6d


Given height = 0.208m, find d:


0.208m = 20.8 cm


20.8 = 13 + 0.6d

0.6d = 20.8 - 13 = 7.8

d = 7.8 ÷ 0.6 = 13


Answer: (b) 13 days






5 0
3 years ago
the perimeter of a rectangle is 8 (2x+1) inches. If the length of the sides of the rectangle are 3x +4 inches and 4x+3 inches, w
EleoNora [17]
The sides in parentheses times 2 for each is equal to the perimeter expression.

3 0
3 years ago
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