Find the exact value of cos ( - ). 9л a. 1/2 b. C. √√3 d. e. - -155-15 2 √√3 2

Answer:

5000m^2

Step-by-step explanation:

width = w

length = 2w

perimeter: 2(w) + 2(2w) = 300

2w + 4w = 300

6w = 300

width = w = 50

width*2 = length

length = l = 100

Hence,

Length =  2w = 100 m

Width = w = 50 m

Area = l*w = 100*50 = 5000m^2

Answer:

5,000 square feet

Skills Needed: 2-D Geometry

Step-by-step explanation:

1) First, it says that 300 ft is the total amount of wire used to build the rectangular plot. This means that 300 is the perimeter of the plot. It is the length of the entire boundary of the shape.

---> The formula for perimeter is: \(2(l+w)\) for a rectangle.

2) We can use the perimeter formula to the find the length and width, and then use the area formula to find the area. Area is the total amount of space taken up by the figure in 2 dimensions.

---> Area formula is: \(l*w\) for a rectangle

3) We are given that the length is 2 times as much as (or twice as much as) the width.

---> \(l=2w\)

Using perimeter formula:

\(2(l+w) = 300 \\ 2(2w+w) = 300 \\ 2(3w) = 300 \\ 6w = 300\\ w = 50\)

We substitute in for length and then solve for width as shown above.

Given the width, we can solve for length using the fact that length is twice the width.  

\(l=2w \\ l=2*50 \\ l=100\)

We use substitution to solve for length.

4) Now given length is 100, and with is 50, we can use the area formula.

\(A = l*w=100*50=5000\)

This means the area is 5000 square feet.

Answer:

let the unknown number be = n, and the difference between the number be = X

7,X,n

X = 32/4

ans =8. 8 is the difference between 7 and n

where by n = 16

Answer:

-1/6

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

10*10+100-21 = 179

Answer:

179

Step-by-step explanation:

Hope it helped you brainiest plz

10x10=100

100+100=200

200-21=179

Answer:

6.71

Step-by-step explanation:

The solution should be $6.71 because when you subtract $7.50 and $0.79 you end up with $6.71.

Answer:

f(x) = 3x - 14

Step-by-step explanation:

note that y = f(x), thus rearrange the equation making y the subject.

Given

y - 3x = - 14 ( add 3x to both sides )

y = 3x - 14 , that is

f(x) = 3x - 14 ← in functional notation

(See screenshot for the first step that I *would* include, but apparently the website thinks it contains profanity...)

Now recall the following properties of logarithms:

• \(\log\left(\frac ab\right)=\log(a)-\log(b)\)

• \(\log(ab)=\log(a)+\log(b)\)

• \(\log(a^b)=b\log(a)\)

By the first property,

\(\log_5\left(\dfrac{r^{\frac98}}{t^{\frac32}x^{\frac58}}\right) = \log_5\left(r^{\frac98}\right) - \log_5\left(t^{\frac32}x^{\frac58}\right)\)

By the second property,

\(\log_5\left(t^{\frac32}x^{\frac58}\right) = \log_5\left(t^{\frac32}\right) + \log_5\left(x^{\frac58}\right)\)

By the third property,

\(\log_5\left(r^{\frac98}\right)=\dfrac98\log_5(r)\)

\(\log_5\left(t^{\frac32}\right)=\dfrac32\log_5(t)\)

\(\log_5\left(x^{\frac58}\right)=\dfrac58\log_5(x)\)

Putting everything together, we get the expanded expression

\(\log_5\left(\sqrt[8]{\dfrac{r^9}{t^{12}x^5}}\right) = \dfrac98\log_5(r) - \left(\dfrac32\log_5(t) + \dfrac58\log_5(x)\right)\)

Now just plug in the given values to get

\(\log_5\left(\sqrt[8]{\dfrac{r^9}{t^{12}x^5}}\right) = \boxed{9.97}\)

According to the given work and time, if Julio works for only 2 minutes, it would take approximately 3.33 minutes for both Julio and Jaden working together to change one tire.

Julio can change a tire in 5 minutes, while his twin brother Jaden takes 10 minutes. We need to determine how much time it would take for both brothers, working simultaneously, to change one tire if Julio only works for 2 minutes.

Let's assume that the time it takes for both brothers working together to change one tire is represented by "t" minutes. We can set up a proportion based on the work rates of Julio and Jaden:

Julio's work rate: 1 tire / 5 minutes

Jaden's work rate: 1 tire / 10 minutes

Combined work rate: 1 tire / t minutes

According to the work rate principle, the combined work rate is the sum of the individual work rates. Therefore, we have the equation:

1/5 + 1/10 = 1/t

To find the value of "t", we need to solve this equation. Multiplying through by the least common denominator (LCD) of 10t, we get:

2t + t = 10

Combining like terms, we have:

3t = 10

Dividing both sides by 3, we find:

t = 10/3

So, it would take both Julio and Jaden working simultaneously approximately 3.33 minutes (or 3 minutes and 20 seconds) to change one tire if Julio only works for 2 minutes.

Therefore, if Julio works for only 2 minutes, it would take approximately 3.33 minutes for both Julio and Jaden working together to change one tire.

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Answer: 63

Step-by-step explanation:

180-117=63

Answer:

63

Step-by-step explanation:

Pretty simple really.

A straight line is 180...

180-117=63

Answer 63

TADAAA!!!

Answer:

£36.

Step-by-step explanation:

Because the game was reduced by 1/4

This means that:

£27 = 3/4.

To find 1/3, divide 27 by 3. this gives us 9. Now we know that the game was reduced by £9. To find the original price, instead of taking £9 away, we do the inverse and add the £9. This gives us £36.

You can even check your answer also, as 9 is 1/4 of 36, this proving that the price before the reductio was £36.

Answer:

1/8x + 1/8x

Step-by-step explanation:

We are looking for 1/4x

1/8x + 1/8x = 2/8x which reduces to 1/4x

1/8x + 1/8 Cannot be added as they are not like terms

1/8 + 1/8 = 2/8 which reduces to 1/4 but doesn't have an x

1/2x + 1/2x = 2/2x which reduces to x

Therefore 1/8x + 1/8x is equivalent

Answer:

85%

Step-by-step explanation:

P(a) = 25%=1/4

P(b) = 60%=3/5

P(a and b) = 1/4 + 3/5 = 5+12/20 = 17/20 = 85%

Answer:

The probability of A and B is 85%

Step-by-step explanation:

It is 85% because 25% is 0.25 or 25/100(1/4), and 60% is 0.6 or 6/10(3/5). 0.6+0.25=0.85 and to convert it back to a percentage you need to times 100%. 0.85x100%=0.85x100 with a percentage symbol =85%.

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{AC}\\ a=\stackrel{adjacent}{40}\\ o=\stackrel{opposite}{60} \end{cases} \\\\\\ AC=\sqrt{ 40^2 + 60^2}\implies AC=\sqrt{ 1600 + 3600 } \implies \boxed{AC=\sqrt{ 5200 }} \\\\[-0.35em] ~\dotfill\)

\(\tan(25^o )=\cfrac{\stackrel{opposite}{FC}}{\underset{adjacent}{60}} \implies \boxed{60\tan(25^o)=FC} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \textit{ the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{A F}\\ a=\stackrel{adjacent}{\sqrt{5200}}\\ o=\stackrel{opposite}{60\tan(25^o)} \end{cases} \\\\\\ (A F)^2= (\sqrt{5200})^2 + (60\tan(25^o))^2\implies A F^2\approx 5200+27.98^2 \\\\\\ A F\approx\sqrt{5200+27.98^2}\implies \boxed{A F\approx 77.349~cm}\)

Answer: 16

Step-by-step explanation:

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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The t-statistic from the t-test comparing the GPAs of in-class students and online students at Lynn University is approximately -1.24.

In the given dataset, the sample of in-class students has the following GPAs: 4.0, 3.5, 3.7, 3.5, 2.0, and 3.3. The sample of online students has the following GPAs: 4.0, 2.2, 3.7, 2.5, 3.2, and 3.8. To compare the two samples and test the hypothesis that in-class students perform better than online students, a t-test is appropriate.

Using statistical software or formulas, we can calculate the t-statistic, which measures the difference between the means of the two samples relative to the variability within the samples. After performing the calculations, the t-statistic is found to be approximately -1.24, rounded to two decimal places.

The negative sign indicates that the mean GPA of the in-class students is lower than the mean GPA of the online students. However, the magnitude of the t-statistic alone is not sufficient to determine the statistical significance of the difference. To determine if the difference is statistically significant, additional information is required, such as the sample sizes and the desired level of significance (alpha).

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A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.

The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.

The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.

To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.

Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.

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We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : \(\frac{10}{\frac{2}{5} }\) = 10 × \(\frac{5}{2}\)

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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There are a total of three numbers in a combination lock, and no digit can be repeated. To open the lock,

The correct answer is B. 720.

The first number can be any of the 10 digits, and the second number can be any of the 9 remaining digits because no digit can be repeated.

Finally, since there are 8 digits left, the third digit can be any of these.

The combination can be created in the following manner:

The total number of possible combinations = (Number of ways to select the first number) x (Number of ways to select the second number) x (Number of ways to select the third number).

= 10 x 9 x 8 ⇒ 720.

Therefore, the sequence of the combination is 720, and option (B) is correct.

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Using the given angles, the value of x in the triangle is x = 3

From the question, we are to determine the value of x

Given that the measures are the angles of a triangle ABC.

Then, we can write that

A + B + C = 180° (Sum of angles in a triangle)

From the given information,

A = 75

B = 2 + 11x

C = 70

Thus,

75 + 2 + 11x + 70 = 180

147 + 11x = 180

11x = 180 - 147

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence, the value of x is 3

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Answer:

vanadium

Step-by-step explanation:

Answer:

Step-by-step explanation:

may it will help you

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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Answer:

Interest Earned: $360

Total value of the Account: $1260

Step-by-step explanation:

To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where the principal is the amount deposited, the rate is the interest rate expressed as a decimal, and the time is the number of years the money is left in the account.

In this case, the principal is $900, the rate is 0.04 (since 4% is equivalent to 0.04 as a decimal), and the time is 25 years. Plugging in these values, we get:

Interest = $900 x 0.04 x 25 = $900 x 1 = $360

So the interest earned over 25 years is $360.

To find the total value of the account, we can add the interest earned to the original deposit:

Total Value = Principal + Interest

Total Value = $900 + $360 = $1260

So the total value of the account after 25 years is $1260.

Hope this helps!

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