Did I get this correct?​

The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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33% in fraction is 33/100.

Please mark as brainliest ~

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The equivalent expression value when {a} = 2, {b} = -3, {c} = -1 is 19.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the algebraic expression as -

ab² - c³

For {a} = 2, {b} = -3, {c} = -1, we can evaluate the algebraic expression as -

ab² - c³

2(-3)² - (- 1)³

2 x 9 - (- 1)

18 + 1

19

Therefore, the equivalent expression value when {a} = 2, {b} = -3, {c} = -1 is 19.

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{Question in english -

Find the value of the expression if a =2, b= -3 and c=-1 ; ab2 -c3}

Answer:

The best buy is the 16-ounce drink

Step-by-step explanation:

here, we see that,

12 ounce = 3/4 (16 ounce)

So, the price should reflect that,

i.e,

price of 12 ounce drink = 3/4 (price of 16 ounce drink)

By this metric,

Price of 12 ounce drink = 3/4 ( 1.19)

Price of 12 ounce drink = $0.8925

So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,

So, it is more expensive than it should be,

So, the best buy is the 16-ounce drink

Anwers:

22    is the answer

Answer:

  90°, 90°, 85°, 95°

Step-by-step explanation:

The sum of the two unknown angles is 180°. If x is the smaller one, that means ...

  x + (x+10°) = 180°

  2x = 170° . . . . . . . subtract 10°

  x = 85°

The interior angles are 90°, 90°, 85°, and 95°.

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

32 centimeters

Step-by-step explanation:

45-13=32

Answer:

2 hours = 8 miles

1 hour = 4 miles

7 hours = 28 miles

Answer:

28 miles

Step-by-step explanation:

trust me

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

12=12, so I believe your answer would be yes. I hope this helps.

Step-by-step explanation:

(4,10)

y = 3x - 2

10 = 3(4) - 2

10 = 12 - 2

+2         +2

12 = 12

Answer:

Shown in the attachment.

Step-by-step explanation:

Shown in the attachment.

the number of pastries that she bake in the afternoon is equal to 312 pastries.

We are given that:

Saffron sells 584 pastries in the whole day and 52 pastries are left at the end of the day.

Now, we will use addition to find the total number of pastries that is being made in the day.

Total pastries = 584 + 52

Total pastries = 636

Now, she bake 324 pastries in the morning.

So, the number of pastries baked in the afternoon = 636 - 324

In afternoon = 312.

Therefore, we get that the number of pastries that she bake in the afternoon is equal to 312 pastries.

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Answer:

I believe the answer is C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be B. since both triangles are right triangles. They also are on the same line. So neither of them are at a different angle.

Now to verify that this is correct, we need to eliminate some of the other answers.

Let's start with A.. Congruent means that they are the same shape and size and can be mirrored/backwards. These triangles are the same shape and mirrored but it IS NOT the same size. This means we can eliminate answer A..

Now answer C.. As originally stated, the triangles are similar because they are both right triangles, but they have the same slope since they are on the same line. The line is not changing so the slope will not change either.

And finally answer D.. Answer D. has been proven wrong from the answers B. and C., so we can eliminate it.

This means all the answers are eliminated but B.

Answer:

What is the expected value when rolling a fair 12-sided die?

132=6.5

Recall the definition of the expected value:

E[X]=∑ni=1xp(x)

Here, we have 12 possible values the die can take on, and the probability of each one is the same: 1/12. So we can just pull the term p(x), the probability of each outcome, out of the summation:

E[X]=112∑12i=1x

A useful trick here is that the sum of the numbers 1..N=N(N+1)2. So:

E[X]=11212(13)2

E[X]=12(13)12(2)

E[X]=132

Step-by-step explanation:

hope it helps you :)

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Answer:

It will take 74 years for the Gimebra Kings to win 20 titles.

Step-by-step explanation:

Given that the Ginebra Kings have won 3 titles in the last 11 years, to determine, at this rate, how long it will take to win 20 titles, the following calculation must be performed:

(11/3) x 20 = X

3.666 x 20 = X

73,333 = X

Thus, it will take 74 years for the Ginebra Kings to win 20 titles.

Answer:

x = -1/2 = -0.5

Step-by-step explanation:

2x + 29 >= 28

2x >= 28-29

x = -1/2

Answer:

$28.24

Explanation:

Let x represent the original tab cost.

We can go ahead and solve for x as seen below;

We can see from the above that the original tab was $28.24

Answer: To determine Alejandro's earnings for the first 4 weeks, we first need to calculate his weekly pay. To do this, we divide his annual salary by the number of weeks in a year:

Annual salary / 52 weeks/year = weekly pay

$71,500 / 52 weeks/year = $1,375/week

Next, we need to determine the agency fee that Alejandro will pay each week. The agency fee is equal to 40% of the first 5 weeks' pay, so we multiply Alejandro's weekly pay by 40% to get the agency fee:

Weekly pay * 40% = agency fee

$1,375/week * 40% = $550/week

Finally, to determine Alejandro's earnings for the first 4 weeks, we multiply his weekly earnings by the number of weeks:

Weekly pay * number of weeks = earnings

$1,375/week * 4 weeks = $5,500

So, Alejandro will earn $5,500 during the first 4 weeks of his new job, after paying the agency fee each week.

Answer:

\(l = \boxed{167.}\\w=\boxed{40.}\)

Step-by-step explanation:

Since the perimeter is 414 meters, half of the perimeter is 207 meters. We can write the following equation and solve for h.

\(w + l = 207\\w + (4w + 7) = 207\\5w +7 = 207\\5w = 200\\w = \boxed{40.}\)

Here, we substituted 4w + 7 in place of l as the problem tells us that the length of the pool is 7 meters more than 4 times the width. Solving for the width gave us 40 meters.

Using this information, we can determine that the length of the swimming pool is:

\(4(40) + 7 = 160 + 7 = 167.\)

To double-check that this is correct, we can add twice the length and twice the width to see if it equals the given perimeter:

\(167 + 167 + 40 + 40 = 414.\)

Therefore, your length and width of this swimming pool are:

\(l = \boxed{167.}\\w=\boxed{40.}\)

Answer:

I would love to help what would be the first question