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3 years ago

In the triangle below, determine the value of a.

Mathematics

2 answers:

iren [92.7K]3 years ago

7 0

To be able to solve the problem above, we use trigonometric functions and their definitions. From the given, it would be useful to use the sine function which is equal to the ratio of the opposite length and the hypotenuse. We calculate as follows:

sin theta = opposite / hypotenuse
sin 47 = a / 51
a = 37.30

Anna35 [415]3 years ago

5 0

51sin(47) because 51 is the hypotenuse and a is the opposite so we use sine because sine=opp/hypotenuse therefore sin(47)=a/51 then rearrange the formula to make a the subject the final answer is 37.3 to the nearest 3 significant figures

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BRAINLIESTT ASAP! PLEASE HELP ME :)

Lubov Fominskaja [6]

Answer: $\sqrt{37}$

=====================================

Work Shown:

6x-y = -3 is the same as 6x-y+3 = 0

6x-y+3 = 0 is the form Ax+By+C = 0 with A = 6, B = -1, C = 3.

The distance d that line is from the point (p,q) = (6, 2) is found by the following

$d = \frac{A*p+B*q+C}{\sqrt{A^2+B^2}}\\\\d = \frac{6*6-1*2+3}{\sqrt{6^2+(-1)^2}}\\\\d = \frac{36-2+3}{\sqrt{36+1}}\\\\d = \frac{37}{\sqrt{37}}\\\\d = \frac{37\sqrt{37}}{37}\\\\d = \sqrt{37}\\\\d \approx 6.08276\\\\$

7 0

3 years ago

A recipe says it produced the best sweet tea. In addition to using tea bags, the recipe calls for ½ cup of sugar for every 1 ½ c

Sergio [31]

Answer:

The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)

Step-by-step explanation:

Given;

number of cups of sugar = s

number of cups of water = w

The relationship between the number of cups of water and sugar in this recipe is given as;

½ cup of sugar is proportional to 1 ½ cups of water

$\frac{1}{2} s = \frac{3}{2}w\\\\s= 3w\\\\w = \frac{s}{3}$

Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)

7 0

3 years ago

Read 2 more answers

Casper bought some pencils at .50 each. He had $3 left after the purchase. If he wanted to buy the same number of note pads at .

Nesterboy [21]

<u>Answer: </u>

Required linear equation to get number of pencils purchased by Casper is 3x – 45 = 0 where x represents number of pencils and number of pencils Casper purchased = 15.

<u>Solution: </u>

Let’s assume number of pencils purchased by Casper = x

As given price of each pencil is 0.50 , so price of x pencils = 0.50x = 0.5x

Also given that she was left with $3 after buying x pencils.

So initial amount which was with casper = price of x pencils + amount he was left with.

=> Initial amount with Casper = 0.5x + 3 ------(1)

Now consider second scenario

If Casper wanted to buy same number of notepad at price of 0.80 each , then

Total amount need for x notepad = 0.80x = 0.8x

But its also given that he will be short of $1.5.

So initial amount with Casper = 0.80x – 1.5 ------(2)

On equating initial amount with casper using equation (1) and equation(2) we get

0.5x + 3 = 0.8x – 1.5

=> 0.8x – 0.5x = 3 + 1.5

=> 0.3x = 4.5

=> 0.3x – 4.5 = 0

=> 3x – 45 = 0

So linear equation for x that is number of pencils he purchased is 3x – 45 = 0 where variable x represents number of pencils.

On solving the linear equation 3x – 45 = 0 for x we get

3x = 45

x = 15

Hence required linear equation to get number of pencils purchased by Casper is 3x – 45 = 0 where x represents number of pencils and number of pencils Casper purchased = 15.

7 0

3 years ago

Correct & best answer ill get brainliest.

Nezavi [6.7K]

The correct answer I believe in b

4 0

3 years ago

The value of 4x^2-5 when x=3

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Plug in 3 for x in the expression:

4(3²) - 5

Note that there are no parenthesis (other than the one I added, to make it easier for you. Follow the order of operations, PEMDAS. PEMDAS = Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction, and the left -> right rule.

First, solve the exponent:

4(3²) - 5 = 4(3 * 3) - 5 = 4(9) - 5

Next, solve the multiplication:

4(9) - 5 = 36 - 5

Finally, subtract:

36 - 5 = 31

31 is your answer.

7 0

3 years ago

Read 2 more answers