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3 years ago

Question 1

Mathematics

1 answer:

Nastasia [14]3 years ago

6 0

Answer:

1 zillionaire rbdgdhdndimoobenh

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

Divide the following polynomials using the long division model (4x ^ 4 - 5x ^ 3 + 2x ^ 2 - x + 5) + (x ^ 2 + x + 1)

densk [106]

Answer:

The ramainder is equal -86

Step-by-step explanation:

Since the polynomial degree Q(x) is 1, the remainder of the division must be a number. Therefore we only need to calculate the value of polynomial for x = -2

5 0

3 years ago

Why do you divide each term in the sum by the same factor that you pull out of the sum?

arsen [322]

We do so to follow the rule of divisibility of each term(numbers).

<h2 /><h3><u>The Rule of Divisibility:</u></h3>

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

2, 4, 6, 8, 10

From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

brainly.com/question/840412

5 0

2 years ago

What percent id 25 of 100?

Cloud [144]

25/100 is equal to 25%.

Percents are always out of 100.
So 25/100 is 25%.

Hope this helped☺☺

6 0

3 years ago

What is sketch to show 6 with exponent of 2

sattari [20]

6^{2} this represents 6 with a power of 2 on the keyboard

5 0

4 years ago