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Scilla [17]
3 years ago
5

−sin^2 θ+cos^2 θ=sinθ+1

Mathematics
1 answer:
Brut [27]3 years ago
8 0
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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
3 years ago
Two trains travel a 160 km track each day. The express travels 10 km h^-1 faster and take 30 minutes less time than the normal t
aniked [119]
Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t

Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.

4 0
4 years ago
What is the coefficient in the expression 13.25d+6.5
tester [92]

Answer:19.75d

Step-by-step explanation:

7 0
3 years ago
Students were asked to choose their favorite sport
r-ruslan [8.4K]

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

<h3>answer is 4/9</h3>
4 0
3 years ago
If a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side
Gnesinka [82]

Answer:

5cm

Step-by-step explanation:

It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.

7 0
3 years ago
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