a angle measures 72 degrees more than its supplementary what is the measurement of each angle

Answer:

[tex]a = 3, b = -4, c = -20[/tex]

Step-by-step explanation:

Step 1:  Find the a, b, and c values

[tex]ax^2 + bx + c = 0[/tex]

[tex]3x^2 - 4x - 20 = 0[/tex]

The a value is:  3

The b value is:  -4

The c value is:  -20

Answer:  [tex]a = 3, b = -4, c = -20[/tex]

Answer:

The area of the baseboard is 13.5m²

Step-by-step explanation:

Given data

Length of the bed L=15m

Width of of the bed B=9/10m

Area of the board A=?

We know that the area of the board

Area A=length x width

Substituting our given data we have

A=15*9/10

A=135/10

A=13.5m²

Hence the area of the board is 13.5m²

The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.

In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.

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Answer:

(x-2)(x+1)

Step-by-step explanation:

x²-x-2 can be factored into:

(x-2)(x+1)

Support me by selecting my answer as brainiest.

The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].

To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.

Total outcomes for each roll = 6 (since there are 6 sides on the cube).

Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).

Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].

Since each roll is independent, we multiply the probabilities of each roll:

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]

So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].

Answer: 80% of the magazines are women's magazines

Step-by-step explanation: (28÷35)× 100/1= 80%.

Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Answer:

c) yes, because the population values appear to be normally distributed

Step-by-step explanation:

edge 2021

Answer:

A: 4(cos 48° + i sin 48°)

Step-by-step explanation:

The step by step working:

z1 = 20(cos 54° + i sin 54°)

z2 = 5( cos 6° + i sin 69°)

z1/z2 = (20/5)(cos 54° + i sin 54°)/(cos 6° + i sin 69°)

= 4[(cos 54° + i sin 54°)(cos 6° - i sin 6°)] / (cos^2 6° +sin^2 69°)

= 4[(cos 54° cos 6° - sin 54° sin 69°) + i(cos 54°sin 6° + sin 54° cos 6°)]

= 4(cos 48° + i sin 48°) (Using sum and difference identities)

The answer is A: 4(cos 48° + i sin 48°)

Answer:

Square root of 36.

Step-by-step explanation:

The square root of 36 = 6  so this is rational.

Recall that a rational number is one that can be written as a/b  where a and b are not 0. 6 can be written as 6/1.

Answer:

6

Step-by-step explanation:

The square root of 36 is 6

Answer:

[tex] 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Step-by-step explanation:

[tex](6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) \\ = 6 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 5x + 3 + 1 \\ = 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Answer:

.05

Step-by-step explanation:

if she made 19/20 shots, this means she missed 1/20

Decimals are on a scale of one hundred, therefore, we need to set the denominator to 100

To do this, multiply 1/20 times 5/5 and you should get 5/100

in decimal form, 5/100 is equal to this:

0.05

Thank me later :)

Answer:

2x + 7

Step-by-step explanation:

0,7 is the y intercept, so plus 7 is a given

0,7    1,9    use rise/run

9-7/1-0 = 2/1

so 2x + 7

Answer:

W = - [tex]\frac{vx}{Y}[/tex]

Step-by-step explanation:

Given

v = - [tex]\frac{1}{x}[/tex] YW

Multiply both sides by x to clear the fraction

vx = - YW ( multiply both sides by - 1 )

- vx = YW ( divide both sides by Y )

- [tex]\frac{vx}{Y}[/tex] = W

Answer:

45 degrees

Step-by-step explanation:

Step-by-step explanation:

Put your calculator this trigonometric function and you will get root of 3 over 2.

How ?

Circle is 360° and this angle is more closely to complete the circle, but 330 is on 4th square ( +x,-y).

I hope that it's a clear explanation.

Answer:

See bold face answers below.

Step-by-step explanation:

If c^2 = a^2 + b^2, then the triangle is a right triangle.

If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.

If c^2 < a^2 + b^2, then the triangle is an acute triangle.

Always keep "c" on the left side to avoid confusion when classifying.

Answer:

4. -84

5. 480

6. -910

Step-by-step explanation:

product means multiply.

neg x neg = pos

neg x pos = neg

Answer:

The product is multiplication

Step-by-step explanation:

12 times -7= -84

-24 times -20= 480

-130 times 7= 910

Remember a negative times a positive is a negative and a negative times a negative is a positive

Answer:

x - 11

Step-by-step explanation:

Answer:

24*(1-0.5^n)/0.5

Step-by-step explanation:

To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.

To calculate the compound interest, we can use the formula:

A = P (1 + r/n)^(nt)

Where:

A = final amount

P = principal amount ($2,000)

r = annual interest rate (3%)

t = time in years (5 years)

n = number of times the interest is compounded per year (12 for monthly compound interest)

Plugging in the values, we have:

A = 2000 (1 + 0.03/12)^(12*5)

Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.

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Answer:

Time per cardio class: 32 minutes

Time per weightlifting class: 40 minutes

Step-by-step explanation:

Start by creating a system of equations:

let c = the time per cardio class

let w = the time per weightlifting class

4c + 5w = 328

4c + w = 168

Solving for c and w get you 32 minutes and 40 minutes respectively

Each cardio class lasts 32 minutes and each weightlifting class lasts 40 minutes.

To find out how long each class is, we need to set up a system of equations based on the information given.

Let's denote the duration of a cardio class by C minutes and the duration of a weightlifting class by W minutes.

1. From the first week, we have the equation:

4C + 5W = 328

2. From the second week, we have:

4C + 1W = 168

3. To eliminate C, we can subtract the second equation from the first:

(4C + 5W) - (4C + 1W) = 328 - 168

4W = 160

W = 40

4. Now substitute W back into the second equation:

4C + 40 = 168

4C = 128

C = 32

Therefore, each cardio class lasts 32 minutes and each weightlifting class lasts 40 minutes.

Answer:

She forgot to multiply the 3 to the x and the 8 inside the parentheses.

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

Instead of dividing the right side by 3, Montiah multiplied the right side by 3, getting 225 instead of 25

Answer:

D.) 0.476

Step-by-step explanation:

The < sign means 'less than'. The only thing that .475 is less than is .476

Step-by-step explanation:

The table of three and x is common

So

3x ( x + 5)

Is the answer

Answer: -3

Step-by-step explanation: 3 times 4 - 15

Answer:

26

Step-by-step explanation:

you are needing to find out how many 1/8 are there in 3 1/4...so you divide

13/4 divided by 1/8

13/4 x 8/1

104/4

26

Answer:

26 .

Step-by-step explanation:

Answer:

The last graph, aka D.)

Step-by-step explanation:

Sorry for the extremely late response,

Hope this helps ppl of the future. ;))

~nxmbus

Answer:

3:30 pm

Step-by-step explanation:

Games : 1 hour

Cleaning : 1 hour

Homework: 30 minutes

Total time

1+1+ 30 minutes

She started at 1 pm

1 + 2 hour 30 minutes

1 +2 hours = 3 pm

3+30 minutes = 3:30

Answer:

1:00 pm + 1 hr = 2:00pm

2:00pm + 1 hr= 3:00pm

3:00pm +30 mins = 3:30 pm

Answer:

(x+3) (x-4) aka x^2 - 1 - 12

Step-by-step explanation:

Answer:

x-11 > 17

Step-by-step explanation:

You have to set the equation up as an equality, if you want the simplified answer it would be x > 28

Answer:

192

Step-by-step explanation:

If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.

192 is the score that is 3 standard deviations above the mean.

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Mean= 120

Standard Deviation = 24

So, the score for 3 standard deviations above the mean

= 24(3) + 120

= 72 + 120

= 192.

Hence, 192 is the score that is 3 standard deviations above the mean.

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