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qaws [65]
3 years ago
10

A border to surround a picture is to be cut from a 10 1/2 in by 10 1/2 in mat board. If picture is 8 3/4 in by 8 3/4 in what is

the width of the board.
Mathematics
1 answer:
Lilit [14]3 years ago
3 0
Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:

10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches
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horsena [70]

Answer:

Solving the equation x^2-8x+41=0 using quadratic formula we get x=4+5i \ or \ x=4-5i

Step-by-step explanation:

We need to solve the equation x^2-8x+41=0 using quadratic formula.

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a=1, b=-8 and c=41

Putting values in formula and finding x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\\$x=\frac{-(-8)\pm\sqrt{(-8)^2-4(1)(41)}}{2(1)}$\\$x=\frac{8\pm\sqrt{64-164}}{2}$\\$x=\frac{8\pm\sqrt{-100}}{2}$\\We \ know \ \sqrt{-1}=i\\x=\frac{8\pm10i}{2}\\x=\frac{8+10i}{2} \ or \ x=\frac{8-10i}{2}\\x=4+5i \ or \ x=4-5i

So, Solving the equation x^2-8x+41=0 using quadratic formula we get x=4+5i \ or \ x=4-5i

5 0
2 years ago
Yesterday, Tammy went on a bike ride. Her average speed was 8 miles per hour. Today, she went on another ride, this time averagi
Stels [109]

Answer:

y=120-4x

Step-by-step explanation:

Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.

Day 1 :

Avg Speed = 8 mph

Let the time for travelling = x hrs

Hence Distace Travelled D1= Speed x Time

D1=8x

Day 2 :

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= (10-x) hrs

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If the total distance travelled is denoted by y

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3 years ago
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stiks02 [169]
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Cosine= Length of adjacent side/ Hypotenuse

In order to use one of these, it depends on which angle they give you other than 90 degrees. 

Hope this helps!
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oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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Simple interest is calculated  on the principal amount of a loan and it's easier to find out than compound interest.

4 0
3 years ago
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