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2 years ago

The sum of two consecutive integers is 9. Find the numbers.

Mathematics

1 answer:

Sergio [31]2 years ago

4 0

$n,n+1$ - two consecutive integers

$n+n+1=9\\2n=8\\n=4\\n+1=5$

4 and 5

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In a right triangle, CosA=0.352 and SinA=0.936 What is the approximate value of tanA?

mr_godi [17]

$\tan A=\frac{\sin A}{\cos A}$

Proof: $\sin\div\cos=\frac{o}h\div\frac{a}h=\frac{o}h\times\frac{h}a=\frac{oh}{ha}=\frac{o}a=\tan$

$\cos A=0.352,\ \sin A=0.936$

$\tan A=\frac{0.936}{0.352}$

$\boxed{\tan A=2.65\overline{90}}$ (round as needed)

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2 years ago

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10 donuts were eaten out of the 25 donuts paced.What % of donuts was eaten?

Anna11 [10]

Answer:

40%

Step-by-step explanation:

10/25= x/100

25x=1000

25 divided by 1000 =40%

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2 years ago

Solve the following equation

Gnoma [55]

40x+8x^2=0 can be solved for x (there are two solutions):

Divide all 3 terms by the greatest common multiple (which is 8x):

40x+8x^2=0
------------- -----
8x 8x

5 + x = 0 produces the root x = - 5.

Setting 8x = 0 and solving for x produces the root x = 0.

Be certain to check these results. substitute x = -5 into 40x+8x^2=0. Is the resulting equation true or false? Next, subs. x=-5 into 40x+8x^2=0. Is the resulting equation true or false?

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2 years ago

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-4x+2y=0 10x+3y=8 HELPPPPPPP

tatiyna

Answer:

x=1/2 y =1

Step-by-step explanation:

(-4x+2y)/2x5=0/2x5

10x+3y=8

(-2x+y)x5=0

10x+3y=8

-10x+5y=0

10x+3y=8

8y=8

y=1

x=1/2

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1 year ago

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
for $x_1=3, y_1=-6\cdot 3+6=-18+6=-12$ ,
for $x_2=5, y_2=-6\cdot 5+6=-30+6=-24$ .

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

3 years ago

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