Need help on one question

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

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Answer:

slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.

Step-by-step explanation:

1) if to re-write the given equation, then

[tex]y=\frac{1}{5}x-1;[/tex]

or y=0.2x-1;

this equation is slope-interception form;

2) according to the new view of the equation,

the required slope is 1/5;

the required y-intercept is -1.

Answer x=2.7

Step-by-step explantion

x^2 +x-20=0

combine like terms.. so x^2 AND X TURN INTO X^3

X^3-20=0

THE SUBTRACT 20 FROM EACH SIDE

X^3=20

x=2.7

:)

Answer:

9.3 = 93 / 10

Step-by-step explanation:

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

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Answer:

100

Step-by-step explanation:

Answer:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola

The vertex of a parabola is the point at the top or bottom of the parabola

Step-by-step explanation:

Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

#1

Put (2,-5)

Equation

#2

Put (5,9)

Equation

#3

put (-1,14)

Equation

#4

Put (1,-8)

Equation

y=-5/16(x-5)²-3

Answer:

4.342

Step-by-step explanation:

8.1 - 3.758 = 4.342

When you are trying to find the amount of difference between two values you subtract the value less than the other and there you go, the solution!

I hope it was as simple as that and that this helped!

Answer:

I just need points.

Step-by-step explanation:

Answer:

(3*8*) ^*7*8*

Step-by-step explanation:

IM DONE TO SHOW YOU

Answer:

Step-by-step explanation:

There are nothing else that can multiply to get to 206, so this is the answer.

Solve:

This is the only equation that can make 206 with 3 numbers.

Hello!

Let's solve this question with the information given to us in the question.

We were given the function, f(x) = -5x - 4, or also known as y = -5x - 4

With the function we need to find the inverse of it.

We can simply flip the "x" and "y" variables in the function and solve.

Solve:

y = -5x - 4

Flip the "x" and "y" variables.

x = -5y - 4

Now, solve for "y".

x = -5y - 4

Add 4 to both sides of the equation.

x + 4 = -5y

Divide everything by -5 to get "y" by itself.

-1/5x - 4/5 = y

Therefore, the inverse of the function would be [tex]-\frac{1}{5}x -\frac{4}{5}[/tex]

Answer:

Your answer would be A). [tex]-\frac{1}{5}x -\frac{4}{5}[/tex]

Check the picture below.

Answer:

[tex]SOLUTION:-[/tex]

[tex] \rm{passed \: percent = { \displaystyle{33 \frac{1}{3} \%} = \frac{100}{3}\% }}[/tex]

[tex]{ \displaystyle{ \rm{failed \: percent = \left( 100 - \frac{100}{3} \right)}\%}}[/tex]

[tex]\displaystyle{ \frac{3 \times 100 - 100}{3}\% }[/tex]

[tex]\displaystyle{ \frac{200}{3}\% }[/tex]

Let,x be the total number of examinees:-

We have,

[tex]\displaystyle{ \frac{200}{3}\% \: \rm{of \: x = 240} }[/tex]

[tex]\displaystyle{ \frac{200}{3} \times \frac{1}{100} \rm \: x = 240}[/tex]

[tex]\displaystyle{ \rm{x = \frac{240 \times 3 \times 100}{200} }}[/tex]

[tex]\displaystyle{ \rm{x = 360}}[/tex]

Hence,required number of examinees = 360 .

Answer:

√136 units

Step-by-step explanation:

We are given that;

Since the provided triangle is a right triangle, we can use pythogoras theorem to determine the missing side length of the triangle.

Pythogoras theorem is a formula that is used to determine the missing side length of a right triangle, with the following given;

Pythogoras theorem is denoted as;

Where, "c" is the hypotenuse; "b" and "a" are the legs.

When we substitute the measure of the two legs and the hypotenuse of the triangle, we get;

Now, let's simplify the equation to determine the value of "x".

The measure of the missing side is √136 units.

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Answer:

136

Step-by-step explanation:

Step-by-step explanation:

421×9=3789 it is easy when you know your multiple choice

The function that  represents the amount of money in the account after t years is f(t) = $2000(1.0033^12t).

The money in his account in five years would be $2442.

The number of years it would take to have a value over $2500 is 6 years.

The formula for calculating future value:

FV = P (1 + r)^nm

f(t) =  $2000(1.0033^60) = $2442

f(6) =  $2000(1.0033^72) = 2535.41

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Answer:

C) 224 square centimeters.

Step-by-step explanation:

Answer:

$2.48

Step-by-step explanation:

29.75/12 =2.479

Answer:

6/11

Step-by-step explanation:

[tex]p(number \: less \: than \: 4) = \frac{3}{11} [/tex]

[tex]p(odd \: number) = \frac{5}{11} [/tex]

[tex]p(number \: \: less \: than \: 4 \: and \: odd) = \frac{2}{11} [/tex]

Now we know that

[tex]p(aUb) = p(a) + p(b) - p(anb)[/tex]

[tex]p(getting \: number \: less \: than\: 4 \: or \: odd \: number) = [/tex]

[tex] = \frac{3}{11} + \frac{5}{11} - \frac{2}{11} [/tex]

[tex] = \frac{6}{11} [/tex]

I hope it helped you

Answer:

[tex]a=[/tex] ±[tex]5[/tex]

Step-by-step explanation:

[tex]a^{2} =25[/tex]

equal to zero

[tex]a^{2} -25=0[/tex]

factor: difference of squares

[tex](a+5)(a-5)=0[/tex]

first factor:

[tex]a+5=0\\a_{1} =-5[/tex]

second factor:

[tex]a-5=0\\a_{2} =5[/tex]

Hope this helps

Answer:

16

Step-by-step explanation:

4 divided by 1/4 =

4/.25

16

Answer:

  $82.50

Step-by-step explanation:

This problem requires you round the given bill value, then compute a fraction of that rounded value.

__

We want to round the bill value to the nearest $10. The digit to the right of the tens digit is 1, so we simply replace that and all digits to the right with zeros. (Had the ones digit been 5 or more, we would increment the tens digit before zeroing digits to its right.)

  $551.60 rounded to nearest $10 is $550.00

__

The amount of the tip is found by multiplying the bill by the tip rate.

  $550 × 15% = $550 × 0.15 = $82.50

The amount of the tip is approximately $82.50.

_____

Additional comment

It is often relatively easy to compute a tenth or half of something in your head. We know that 15% = 10% + (1/2)(10%), and that 10% of $550 is $55.

Half of $55 is $27.50, so the tip amount will be $55.00 +27.50 = 82.50, a calculation you can do mentally.

Answer:

1/8

Step-by-step explanation:

The lowest common multiple of 4 and 8 is 8.

1/4 = 2/8

3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8

1/8 cannot be simplified further.

Step-by-step explanation:

the answer is in the attachment.

hope this helps you.

The answer is C. A fraction is basically another way of writing division, and  six divided by three is two.

Answer:

  209.25 ft²

Step-by-step explanation:

The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.

__

The area formula is ...

  A = 1/2bh

  A = 1/2(6 ft)(10 ft) = 30 ft²

The area formula is ...

  A = bh

  A = (14 ft)(10 ft) = 140 ft²

The area formula is ...

  A = 1/2πr² . . . . where radius r is half the diameter

  A = 1/2(3.14)(5 ft)² = 39.25 ft²

The sum of the areas of the parts is ...

  total area = (30 +140 +39.25) ft² = 209.25 ft²

Answer:

60 m^3

Step-by-step explanation:

3 x 4 x 5 = 60

The others are self explanatory