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2 years ago

Should the quadratic formula be used to solve this question explain.x^2+4x-3=0

Mathematics

1 answer:

garik1379 [7]2 years ago

8 0

Answer:

Yes

Step-by-step explanation:

This equation does not factorise, so quadratic equation will be useful. It is easier than other methods that can be applied to this equation.

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Cot (15 degrees)

STatiana [176]

Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

Everything is done in degrees

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

I hope this helps! :)

8 0

2 years ago

I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))

UNO [17]

Answer:

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

x + 43 = 126

x = 83

4 0

3 years ago

Read 2 more answers

9.54

damaskus [11]

Answer:

9.5

Step-by-step explanation:

7 0

2 years ago

Someone please help

KIM [24]

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

$A=Pe^{rt}$

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

$19200=9600(e)^{0.06\times t}$

$2=e^{0.06t}$

$ln(2)=ln(e^{0.06t})$

ln(2) = 0.06t

t = $\frac{0.693147}{0.06}$

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

6 0

3 years ago

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°

lesantik [10]

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2= $90\°$ ------> equation A

2) If angle 1 and angle 2 are congruent angles

then

m∠1=m∠2 ------> equation B

Substitute equation B in equation A

m∠1+(m∠1)= $90\°$

2m∠1= $90\°$

m∠1= $45\°$

therefore

the answer is

$45\°$

8 0

2 years ago

Read 2 more answers