Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R S is 5 StartRoot 3 EndRoot, the length of S Q is 10, and the length of R Q is 5.
Given right triangle QRS, what is the value of sin(30°)?

StartFraction StartRoot 3 EndRoot Over 3 EndFraction
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 Over 1 EndFraction

Answer:

52% of Ms. Green's class has a pet.

Step-by-step explanation:

So, I did this as simple as possible. First, I changed 25 to 100 to represent 100%. I multiplied 25 by 4 to get 100, so I then multiplied 13 by 4 to get 52.

25 → 100

13  →  52

So, this means that the answer is 52%.

A way to check, is by looking at the answer and seeing if it looks correct. Most of the time, you will be able to see if your answer is correct just by looking at it.

Answer:

Short answer: D) 15

Step-by-step explanation:

Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it.

So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/?

the ? is 15.

On solving the provided question, we can say that by equation we have = x*(x-9) = x^2 - 9x

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

let the 1st number be x

2ndd be x-9

then by equation we have = x*(x-9) = x^2 - 9x

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Answer:

If you need to factor this equation the answer is =3(-5x+4)

Step-by-step explanation:

-15x+12

-15/3 = -5      

3/12 = 4

= 3(-5x+4)

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

x is 18, and y is 9 √ 3

Step-by-step explanation:

Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.

The relationship is listed below:

The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3

So x is 18, and y is 9√3

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

0.55 is bigger

Step-by-step explanation:

-.75 is negative and 0.55 is positive

Answer:

0.55 is bigger

Step-by-step explanation:

Since -0.75 is a negative number, it would be smaller than a positive number like 0.55. (Tis ain't really a good explanation.)

Answer: $12,697.80

Step-by-step explanation:

To find 15% of $84,652, you want to multiply them together.

0.15×84,652=12,697.80

Now, we know that $12,697.80 is 15% of $84,652.

2nd X..

I hope that this is correct

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer:

The score on the remaining test is x = 61

Hence, option D is correct.      

Step-by-step explanation:

Let 'x' be the score of the remaining test

The average score of Nadine's six tests = 77

so

Average score = (88+65+75+83+90+x) / 6

substituting average score = 77 in the equation to find 'x'

                  77   = (401 + x) / 6

              401 + x = 77 × 6

                        x = 462 - 401

                        x = 61

Therefore, the score on the remaining test is x = 61

Hence, option D is correct.                              

Answer:

1. is 5mm like the diameter or the radius and 2. the formula is V=4 /3πr^3

Step-by-Step Explanation:

Answer:

so,6-1 3+7x5 9

Multiple: 7 * 5 = 35

Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889

Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889

Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.

At the null hypothesis, we test if there has been no improvement, that is, the time is still of 3 hours. Hence:

\(H_0: \mu = 3\)

At the alternative hypothesis, we test if there has been improvement, that is, the time is of less than 3 hours. Thus:

\(H_1: \mu < 3\)

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are: \(\mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15\).

Then, the value of the test statistic is:

\(z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}\)

\(z = -1.94\)

The p-value of the test is the probability of finding a sample mean of 2.9 hours or less, which is the p-value of z = -1.94.

Looking at the z-table, z = -1.94 has a p-value of 0.0262.

Since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.

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Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

\(y = mx+b\)

where m is the rate of change or slope and b is the y-intercept

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

\(y = mx+b\)

\(y = -3x + 10\)

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

Answer:

dosent this question

on have a diagram or some thing

Answer:

189 ft²

Step-by-step explanation:

Here is the formula...

1/2 * 6 * 36 + 81

Hope this helps

The domain are the values of x, and if x has to be greater than -2 and less than 4. we get

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

Step-by-step explanation: Use the variables “a” for adults and “c” for children.

Answer:

this is not possible or the pic is gone

Step-by-step explanation:

The height of plant after 12 months be 53 centimeters.

For the stated question,

The height of plant is modeled by the equation-

H(M) = 41 + M

Plant's height, H (in centimeters),

M = month

initial height of plant = 41 centimeters

Thus, the plant's height after 12 months.

Put M = 12

H(M) = 41 + M

H(12) = 41 + 12

H(12) = 53 centimeters

Thus, the height of the plant after 12 months be 53 centimeters.

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Answer:

fruit

Step-by-step explanation:

can you help me with my question Complete the following sentence: After we explained why we needed her in the play, she and joined our rehearsal A quaffed B. acquiesced C vengeance D. wreaked

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

Answer:

Yes, the binomial is a factor of the polynomial function.

Step-by-step explanation:

Consider the given polynomial.

Factor out the common term \(x^2\) from the first two terms and \(-25\) from the last two terms.

\(x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)\)

Factor out the polynomial.

\(x^2(x+3)-25(x+3)=(x+3)(x^2-25)\)

Further, simplify.

\((x+3)(x^2-25)=(x+3)(x+5)(x-5)\)

Therefore, \(x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)\)

A binomial factor is simply a factor with two terms, like (x - a).

Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).

Answer:

Yes           No

Yes(x+3)  No (x−1)  

Yes – (x−5)

Yes – (x+5)   No – (x−3)    

Step-by-step explanation:

Hello future k12/brainly users

pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.

Answer:

area of the three quarter circle= 3/4× pi× 4×4

=37.669

area of triangle=1/2×4×4

=8

total area=37.669+8=45.669

\(\pi\)

Answer:

$11.13

Step-by-step explanation:

24 cans = $38.16

divide both sides by 24 to find the cost per can, as this leaves us with 1 can on one side

24 cans / 24 = $38.16 / 24

1 can = $1.59

multiply both sides by 7 to get 7 cans of soup on one side, which is what we want

1 can * 7 = $1.59 * 7

7 cans = $11.13