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lord [1]
3 years ago
14

Find indicated side of right triangle 45 percent 7

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer:

a = 7

b = 7\sqrt{2}

Step-by-step explanation:

in a 45-45-90° triangle, the length of legs to hypotenuse is 1 : \sqrt{2}

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The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost
-BARSIC- [3]

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

7 0
3 years ago
Read 2 more answers
Please help due in 10 minutes will give brainliest.
Kryger [21]

Answer:

B. The function is linear and decreasing

Step-by-step explanation:

6 0
3 years ago
How do you model a decimal using a fraction
stiks02 [169]
Okie dokie, 
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or \frac{5}{10}
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
\frac{1}{2} is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or \frac{26}{100}
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0
3 years ago
(PLEASE HELP)
stich3 [128]

Answer:

C

Step-by-step explanation:

Because you should be subtract each other by 20x to transfer from side to another side.

4 0
3 years ago
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