If the three angles of a triangle
are equal, what is the
measurement of each angle?

The inverse of the given matrix would be C. C ⁻¹ [-4.5, -3.5]

[ - 4 , - 3 ]

The formula for finding the inverse of the matrix is;

= ( 1 / determinant ) x [ d , - b ]

[ - c , a ]

The inverse is therefore:

= 1 / 2 x [ 9 , 7 ]

=  [- 4. 5 , - 3 . 5 ]

= [ - 4 , - 3 ]

So, the inverse of the matrix C is:

[ - 4. 5 , -3. 5 ]

[ - 4 , - 3 ]

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Answer:

320

Step-by-step explanation:

the mean of five values is all the numbers added together divided by 5.  To get it to the sum just do 64*5.  That gets you 320

= (Summation of five values / 5 ) = 64

Cross multiply

= ( 64× 5)=  320

Therefore, the sum of the numbers value is 320

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Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:

X=9

Step-by-step explanation:

10x-30 = 7x-3

10x-7x = -3 + 30

3x = 27

x=9

Answer:

9 2/5 or 9.4

Step-by-step explanation:

(3 1/5 + 1 2/5) + 4 4/5
(4 3/5) + 4 4/5 =
8 7/5
1 = 5/5
7/5 = 1 2/5
8 + 1 /25 = 9 2/5

Answer:

The elevation of the airplane decreases by 9 km.

Step-by-step explanation:

We use the distance-rate-time formula: d = rt.

Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:

d = rt

d = 0.15 * 60 = 9 km

So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.

Thus, the answer is: the elevation of the airplane decreases by 9 km.

~ an aesthetics lover

Answer:

The elevation of the airplane _decrease_ by __9____ km

Step-by-step explanation:

Take the rate and multiply by the time to get the distance traveled

-.15 km per minute * 60 minutes

- 9 km

The plane will go down 9 km in that 60 minutes

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

$0.79

Step-by-step explanation:

Answer:

$0.79

Step-by-step explanation:

There are two ways to solve this. You can either set it up as a proportion or just divide 8 by $6.32. Be careful if you just divide, however, that you don't divide it the wrong way. 8 divided by 6.32 will give you a different answer than 6.32 divided by 8. Setting up a proportion may be harder and longer, but it is definitely the safer way to go.

Proportion:       \(\frac{6.32}{8} = \frac{x}{1}\)          6.32 = 8x     6.32 ÷ 8 = 0.79      x = 0.79

79 cents is your answer.

I hope this helps you understand a bit better. Please let me know if you need any more help. I'm happy to help any time! :) Have a great day!

Answer:

1.5

Step-by-step explanation:

Thats rounded.

The surface areas of the figures are 336, 82 and 836

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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Answer:

Step-by-step explanation:

The correct answer for this question is Phil can swim 90 meters in 2 minutes.

According to the given question, Phil can swim 15 meters in 20 second.

So, in 1 second, Phil can swim: 15 meters/20 second=0.75 m/s

In other words, the speed of swimming of Phil is 0.75 m/s.

So, in 2 minutes i.e. in 120 second, the distance Phil can travel:

Distance= Speed x Time

Distance= 0.75 m/s x 120 s

Distance= 90 meters.

Hence, Phil swimmed 90 meters in 2 minutes. The speed of Phil is 0.75 m/s which can be used to determine further distances travelled with time if the motion is uniform.

Answer:

d)

Step-by-step explanation:

the general form is ax + by = c

Answer:

60° is answer.it is right.thank you

Answer:

i = 7

Step-by-step explanation:

13 - 3i = -8 -> -3i = -21 -> i = 7

Answer:

i = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

13 - 3i = -8

Step 2: Solve for i

Step 3: Check

Plug in i into the original equation to verify it's a solution.

Here we see that -8 does indeed equal -8.

∴ i = 7 is the solution to the equation.

Answer:

Each box will have $14

Step-by-step explanation:

The problem divides the total bill into 5 boxes so divide the total bill ($70) by 5.

If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

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Answer:

D

Step-by-step explanation:

(-8) - (-8) = (-8) + 8 = 0

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

Answer:

yay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

thanks! have a nice day!

The coefficient of variation for the final exam is higher than that for the midterm exam, indicating that the scores on the final exam are more dispersed relative to the mean than the scores on the midterm exam.

To compare the degree of dispersion in the two distributions, we can calculate the coefficient of variation (CV) for each exam:

CV = (standard deviation / mean) x 100%

For the midterm exam:

CV = (10 / 75) x 100% = 13.33%

For the final exam:

CV = (15 / 55) x 100% = 27.27%

To determine which class had the greatest amount of variation in exam scores relative to their means, we can compare the coefficient of variation for the two classes. Since the CV for the final exam is higher than that for the midterm exam, we can conclude that the final exam had a greater amount of variation in exam scores relative to the mean for the class than the midterm exam.

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Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

300kms

Step-by-step explanation:

900÷300 is 300. so then i think it would be 300kms

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

1.65

Step-by-step explanation:

1) Use the algorithm method.

0 . 5 5

×     3

---------------------------------------

1  1

1 . 6 5

Answer:

2570 = 30 m + 17

Step-by-step explanation:

1275 gallons / 75 gallons/ft3 = 17 ft3

2570 ft3 - 17 ft3 = 2553 ft3 left to fill

Minutes = 2553 ft3 / 30 ft3/min = 85.1 minutes

The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Answer:

150

Step-by-step explanation:

15 times 8 = 120

14-8 = 6

6 times 5 = 30

150

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2