What's this....?<br> 5(x+9)=60

4) Solve ∆ABC, a = 2.5 cm, c = 3.6 cm, and ∠A = 43°. Begin by sketching and labelling

mezya [45]

The length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

$\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}$

Given;

a = 2. 5cm

c = 3. 6cm

∠A = 43°

Let's find angle C

$\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}$

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = $sin^-^1(0. 982)$

C = 79°

To find length of b

$b= \sqrt{c^2 - a^2}$

substitute the values

$b = \sqrt{3.6^2 - 2. 5^2}$

$b = \sqrt{6. 71}$

b = 2. 59 cm

b = 3cm

To find angle B, we have

$\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}$

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

$B = sin^-^1(0. 7065)$

B = 45°

Hence, the length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.

Learn more about sine rule here:

brainly.com/question/12827625

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8 0

2 years ago

How can you show your work for 8800 divided by 4

irakobra [83]

The number 8800 is called the numerator or dividend, and the number 4 is called the denominator or divisor.

The quotient of 8800 and 4, the ratio of 8800 and 4, as well as the fraction of 8800 and 4 all mean (almost) the same:

8800 divided by 4, often written as 8800/4.

Read on to find the result of 8800 divided by 4 in decimal notation, along with its properties.

What is 8800 Divided by 4?
We provide you with the result of the division 8800 by 4 straightaway:

8800 divided by 4 = 2200

The result of 8800/4 is an integer, which is a number that can be written without decimal places.
8800 divided by 4 in decimal = 2200
8800 divided by 4 in fraction = 8800/4
8800 divided by 4 in percentage = 220000%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 8800 and 4, of course.

7 0

2 years ago

The division algorithm states that if p(x) and d(x) are polynomial functions with d left parenthesis x right parenthesis not e

katrin [286]

Answer:

In a division algorithm, $p(x)$ refers to the dividend polynomial, $d(x)$ refers to the divisor polynomial, $q(x)$ refers to the quotient polynomial and $r(x)$ refers to the residula polynomial.

The division algorithm is defined as

$p(x)=d(x) \times q(x) +r(x)$

Where $p(x)\geq d(x)$ and $d(x) \neq 0$ , other wise the algorithm won't be defined.

So, the complete paragraph is: "if $p(x)$ and $d(x)$ are polynomial functions with $d(x)\neq 0$ and the degree of $d(x)$ is less than or equal to the degree of $p(x)$ , then there exist unique polynomial functions $q(x)$ and $r(x)$ such that $p(x)=d(x) \times q(x) +r(x)$ .