Easy points (Pythagorean theorem)

The numeric value for each trigonometric expression is given as follows:

3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]

4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]

The first trigonometric expression for this problem is defined as follows:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]

The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:

Hence:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]

For item 4, the angles are on the first quadrant, hence:

Hence the numeric value of the expression is given as follows:

[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]

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On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

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The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

(s⁻⁵)³

We can write the expression as -

(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵

Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

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Answer:

Step-by-step explanation:

WX≅VY

VY = 7

CD≅BE

BE = 13

If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.

A=P(1+rt)

Where, A is final amount, P is principal amount, r is rate of interest, t is time period.

P=3000, r=0.16%=0.16/100=0.0016, t=2

A=3000(1+(0.0016)2)

=3000(1+0.0032)

=3000(1.0032)

=3009.6

Hence, Canon needs to pay back 3009.6

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Answer:

Step-by-step explanation:

$66.67/month for three months

The monthly payment is calulated by dividing the total cost of the mountain bike by 3.  For example, if the total cost is $200, the three monthly payments will be $66.67 each:

   $200

---------------- = $66.67/month for three months

  3 months

Answer:

Option B, [tex]\sqrt[6]{\frac{x}{4} }[/tex]

Hope this helps!

Answer:

P=4×5+3×-2

P= 20x-6y

4e²+8e

Answer:

Not Rounded- 158.766

Rounded- 159

Step-by-step explanation:

Delta Math

Answer:

D They cannot be replaced as fast as they are being used

Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.

an algorithm that takes a polynomial amount of time to solve a tractable issue. The upper bound is described by a polynomial. Any issue that cannot be addressed in a polynomial period of time is considered to be intractable. The lowest limit is exponential.

Here,

The halting problem claims that no computer can be created that can anticipated.

the likelihood that any other program will halt after a certain number of steps, making it an unsolved algorithmic challenge.

Software development is directly affected in practice by the stopping problem's insoluble nature.

Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.

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Answer:

x=10

Step-by-step explanation:

Lets use a ratio.

3:2 (12 to 8)

We need to scale the x+4 up 3/2 to be equal to 2x+1

(3/2) x+4 = 2x+1

1.5x+6=2x+1

-1.5x    -1.5x

6=0.5x+1

-1          -1

0.5x=5

x=10

Answer:

It C man.

Step-by-step explanation:

You don't need this

The correct comparison of solutions for the expression is x < 2

From the question, we have the following parameters that can be used in our computation:

2(5-x) > 6 and 22 > 2(9+x)

Rewrite the expression properly

So, we have the following representation

2(5 - x) > 6 and 22 > 2(9 + x)

Divide both sides of the expressions by 2

So, we have the following representation

5 - x > 2 and 11 > 9 + x

Subtract both sides of the expression by the constant term

This gives

-x > -3 and 2 > x

Rewrite as

x < 3 and 2 > x

So, we have

x < 3 and x < 2

When combined, we have

x < 2

Hence, the solution is x < 2

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Answer:

61 degrees.

Step-by-step explanation:

Use the law of cosine.

In this case, the law of cosine is:

7^2=4^2+8^2-2(4)(8)cos a

Meaning:

7^2-4^2-8^2/-2(4)(8)=.434

Then do the inverse cosine of .434, and it will equal to 61.02

Round to the nearest tenth and you'll get A= 61 degrees.

Answer: 61 degrees

Step-by-step explanation:

7^2=4^2+8^2-2(4)(8)cos a

7^2-4^2-8^2/-2(4)(8)=.434

Then do the inverse cosine of .434, and it will equal to 61.02

Round to the nearest tenth and you'll get A= 61 degrees.

Answer:

42

Step-by-step explanation:

In the given equation x = 9 is the value that satisfies the equation.

The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".

In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.

To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.

[tex]3 \sqrt{x} = 9[/tex]

Squaring both sides:

[tex](3 \sqrt{x} )^2 = 9^2[/tex]

[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]

Therefore, x = 9 is the value that satisfies the equation.

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1350000 because 20x15 and 30x15

Answer:135000 ft^2

Step-by-step explanation:

Answer:

182π

Step-by-step explanation:

Subtract areas of two smaller circles from the largest one

Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π

Area of second largest circle = 169π

Area of smallest circle = 49π

400π - (169π + 49π) = 182π

Answer:

Fresh air

Step-by-step explanation:

Answer:

4 prime numbers all divisible by 3

Step-by-step explanation:

there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3

Answer:

7 integers

Step-by-step explanation:

We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.

1: 3 * 7 = 21

2: 3 * 8 =24

3: 3 * 9 = 27

4: 3 * 10 = 30

5: 3 * 11 = 33

6: 3 * 12 = 36

7: 3 * 13 = 39

Answer:

Rate when price rises 20% = $36

Rate when price downs 20% = $24

Step-by-step explanation:

Given:

Current rate to mow = $30 per lawn

Find:

Rate when price rises 20%

Rate when price downs 20%

Computation:

Rate when price rises 20%

Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]

Rate when price rises 20% = 30 + 20%[30]

Rate when price rises 20% = 30 + 6

Rate when price rises 20% = $36

Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]

Rate when price downs 20% = 30 - 20%[30]

Rate when price downs 20% = 30 - 6

Rate when price downs 20% = $24

Answer:

Answer choice A

Step-by-step explanation:

This is the midpoint of both coordinates.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.

A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.

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The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Given:

f(x)=√x - 2 + 3.

The inverse function can be found as shown below,

f⁻(x) = √(y - 2) + 3  (Replace x by y)

x = √(y - 2) + 3

solve the equation as shown below,

x - 3 = √(y - 2)

Squaring both sides,

(x - 3)² = [√(y - 2)]²

x² + 9 - 6x = y - 2

x² + 9 - 6x + 2 = y

y = x² - 6x + 11 or y = (x - 3)² + 2

Thus, the inverse of the function is  (x - 3)² + 2.

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Answer:

Step-by-step explanation:

Domain= [0,18], Range = [0,31.50]

If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]

Answer:

B.

Step-by-step explanation:

I used the percent button on my calculator. :)

Hope this helps