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Maslowich
3 years ago
7

Select the two values of x that are roots of this equation 2x^2-11x+15=0

Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
X=5/2 and 3. Factor the equation find numbers that will sum up too -11 involving the coefficient of 2, and that multiply into 15. 2x too the power of 2 -11x +15=0 (2x-5)(x-3) =0
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Find all solutions of the equation in the interval (0,2π) <br> cot theta +root 3 = 0
Alisiya [41]

Answer:

θ = 5π/6 rad and 11π/6 rad

Step-by-step explanation:

Given the expression cotθ+√3=0

Subtract √3 from both sides

cotθ+√3-√3=0-√3

cotθ = -√3

Since cotθ = 1/tanθ

1/tanθ = -√3

Reciprocate both sides:

tanθ = -1/√3

θ = tan^-1(-1/√3)

θ = -30°

Since the angle is negative, and tanθ is negative in the second and fourth quadrant.

In the second quadrant;

θ = 180-30

θ = 150°

Since 180° = πrad

150° = 150π/180

150° = 5π/6 rad

In the fourth quadrant;

θ = 360-30

θ = 330°

Since 180° = πrad

330° = 330π/180

330° = 11π/6 rad

Hence the solutions are 5π/6 rad and 11π/6 rad.

7 0
3 years ago
A community park is shaped like a trapezoid with a height of 30 yd, a top base of 25yd,and a bottom base of 33yd. The park has a
Likurg_2 [28]

Answer: 819.73 yd²

<u>Step-by-step explanation:</u>

A_{trapezoid} = \frac{b_{1}+b_{2}}{2}*h

                       = \frac{25+33}{2}*30

                       = \frac{58}{2}*30

                       = 29 * 30

                       = 870

A_{circle} = \pi r^{2}

                  = π(4)²

                  = 16π

                  ≈ 50.27

Area of the park = A_{trapezoid} - A_{circle}

 = 870 - 50.27

= 819.73

6 0
3 years ago
The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is o
Anvisha [2.4K]

Answer:

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

6 0
3 years ago
A wire stretches from the top of a pole 8m high to a stake in the ground which is 6m from the foot of the pole. Find the length
kap26 [50]
It is 48 m high. I got no help (by the way)
4 0
3 years ago
God i don't understand this at all dkfjdfkgh thanks if you help, not really sure how brainly works
skad [1K]

Answer:

Step-by-step explanation:

Spas

8 0
3 years ago
Read 2 more answers
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