Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?

Answer:

11) 30.7

12) 16.3

Step-by-step explanation:

11)

[tex]\dfrac{\sin 50}{12}=\dfrac{\sin B}{8}[/tex]

Multiply both sides by 8:

[tex]\sin B=\dfrac{2\sin 50}{3}[/tex]

[tex]B=\sin^{-1}\dfrac{2\sin 50}{3}\approx 30.7[/tex]

12)

[tex]\dfrac{\sin 25}{7}=\dfrac{\sin 80}{C}[/tex]

[tex]C=\dfrac{\sin 80}{\frac{\sin 25}{7}}\approx 16.3[/tex]

Hope this helps!

Answer:

h<-13/3

Steps:

Move variable to the left side and change its sign

h-4h-8>5

Move constant to right and change its sign

h-4h>5+8

Collect like terms

-3h>5+8

Add the numbers

-3h>13

Divide both sides of the inequality by -3 and flip the inequality sign

h<-13/3

Answer:

3(x^4+324y^4)

Step-by-step explanation:

You can take out a 3 since 972 and 3 are both divisible by 3.

Therefore, 3(x^4+324y^4)

I hope this helped and have a good rest of your day!

Here, just we have take common of them.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that Shruti succeeds at any given free-throw is 80%, percent.

This means that [tex]p = 0.8[/tex]

Sample of 12 free throws:

This means that [tex]n = 12[/tex]

Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]

[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]

[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Answer:0.8

Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes

Question:

Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the

equation  [tex](a+b)^2 - c^2 = 4(\frac{1}{2}ab )[/tex] because she knows two equal ways to represent the area

of the shaded region. Which best describes the next steps Kira should take to complete her

proof?​

Answer:

The correct option is;

d. Simplify both sides of the equation to get a² + 2·a·b + b² - c² = 2·a·b then subtract 2·a·b and add c² to both sides of the equation

Step-by-step explanation:

Here we have

The area of the larger square = (a + b)²

The area of the middle plain shaded square = c²

∴ Area of the shaded region = (a + b)² - c²

The shaded region consists of for right triangles of base, a and height, b therefore, the area of the shaded region is also the area of the four right triangles = 4 × (1/2 × base × height)

= 4×1/2×a×b = 4(1/2·a·b)

Hence area of the shaded region also = 4(1/2·a·b)

Therefore, (a + b)² - c² = 4(1/2·a·b)

Which is a² + 2·a·b + b² - c² = 4 × 1/2 × a·b = 2·a·b

∴ a² + 2·a·b + b² - c² = 2·a·b

Hence a² + 2·a·b + b² - c² + c² = 2·a·b + c² gives

a² + 2·a·b + b² = 2·a·b + c² gives

Also  a² + 2·a·b + b² - 2·a·b = 2·a·b + c² - 2·a·b gives

a² + b² = c² which is Pythagoras theorem

Answer:

the last

Step-by-step explanation:

Answer:

You got it, I have been busy and I am glad to see someone feeling the same way as me!

Answer:

what the question

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]

Answer:

The formula is 86=1/3B (6)

The base area is 43.00 square feet

Step-by-step explanation:

V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation

Solving equation

86=(1/3) B(6)

Divide 6 by 1/3

(3/1) 1/3 = 6 (3/1)

86 = 2pi *

43.00 square feet

Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;

Answer:

both of the answers are C

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

Answer:

x = [tex]\frac{2h-4-ut}{t}[/tex]

Step-by-step explanation:

Given

2h - 4 = ut + xt ( isolate the term in x by subtracting ut from both sides )

2h - 4 - ut = xt ( divide both sides by t )

[tex]\frac{2h-4-ut}{t}[/tex] = x

Answer:

9

Step-by-step explanation:

2/3 = 2/3 × 3/3 = 6/9

7/9 = 7/9 × 1/1 = 7/9

Answer:

Um, i'm not the best but I'm trying my best, but I think it is                                       66%

Step-by-step explanation:

Hope this helps

Answer:

665.73 cm or 6.65 m

Step-by-step explanation:

The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:

3.6m * 100cm / 1m = 360cm

Now we calculate the number of steps:

360 cm / 18 cm = 20 steps

Now each step measures 28 cm, therefore:

20 * 28 = 560 cm

To calculate the length of the ladder, we must apply Pythagoras:

c ^ 2 = a ^ 2 + b ^ 2

a = 360; b = 560

replacing:

c ^ 2 = 360 ^ 2 + 560 ^ 2

c ^ 2 = 443200

c = 665.73

665.73 cm in meters would be 6.65 meters.

Answer:

[tex] = a - 3b + 4[/tex]

Step-by-step explanation:

[tex]0.5(2a - 6b + 8) \\ = a - 3b + 4[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

the answer is attached to the picture

Answer:

equation: c-13=-2

solution: c=11

Step-by-step explanation:

c-13=-2

add 13 on both sides

c-13+13=-2+13

c=11

ANSWER CHECK

substitute C for 11

11-13=-2

The value of c is 11.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Number = c

We can make an expression as,

c - 13 = -2

Now,

Solve for c.

c - 13 = -2

Add 13 on both sides.

c = -2 + 13

c = 11

Thus,

The value of c is 11.

Learn more about expressions here:

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Answer: A

Step-by-step explanation:

We know the y intercept is -6 so the first point will be  (0,-6)   and we also know that the slope is  2/1  so after plotting (0.-6) you will have to go up by two and  1 unit to the right.  

Answer:

The answer is A!

Step-by-step explanation:

I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)

Answer:

Well, P(Monday)= 1/7 = 14.3%

P(starts with S)= 2/7 = 28.6%

P(Monday or starts with S)= 3/7 = 42.9%

Step-by-step explanation:

Have a good day!!!

The probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

And, the probability of choosing Monday or starts with S is,

P = 3/7

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A day of the week is randomly chosen.

Since, Number of days in a week = 7

Hence, the probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

So, the probability of choosing Monday or starts with S is,

P = 2/7 + 1/7

P = 3/7

Learn more about the probability visit:

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Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

Answer:(4,-25)

Step-by-step explanation:

Answer:

1. Given

2. Addition property of inequality

3. Division property of inequality

4. Square root property

Step-by-step explanation:

The first equation is always going to be the given since it hasn't been solved yet, on the next step you had to get rid of the 1 so you had to add 1 to both sides, this is called addition property of inequality, then to isolate the x you had to divide both sides by 4, this is called division property of inequality and lastly you had to do the opposite of squaring a number, which is taking the square root. Hope this helped.

Answer:

First box is 4 2nd box is 6

Step-by-step explanation:

The next box that is empty will be 4 and the last empty box will be 6

Step-by-step explanation:

2*1=2

2*2= 8

2*3=6

Answer:

112 stickers

Step-by-step explanation:

Let x and y represent the number of stickers Sheryl and Jennifer were given at first.

Sheryl and Jennifer were given the same number of sticker at first.

So;

x = y ......1

After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer.

x = 4(y-84)

x = 4y - 336 ......2

Substituting equation 1 into 2

y = 4y - 336

Solving for y;

4y - y = 336

3y = 336

y = 336/3

y = 112

Therefore, sherly was given 112 stickers at first

Answer:

What do you mean DUO?

Step-by-step explanation:

Answer:

8(a+2c)

Step-by-step explanation:

Answer:

C. 8(a + 2c)

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Its simple, 3+2 = 5, but since its negative its -1.

Answer:

They can build pipes for clean water, and building toilets can also help get rid of unhygienic.... You know Also, hygiene education would help too.

Hope that helped ya, vote, thanks, and brainliest. Have an great day! :D

Some improvements that large cities have made to improve health are: Water purification, Sewage channeling, and Recycling, reuse, and waste reduction

Sanitation is a term to refer to:

During the last 200 years, there have been many actions to improve sanitation conditions in large cities such as:

These actions have allowed the health of the cities to improve and the life expectancy of people to be much higher. This also contributes to a cleaner, more livable, and less polluted city.

Learn more in: https://brainly.com/question/4296165

Answer: $8.40

Step-by-step explanation:

The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.

First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.

B=40(1+r)^t

R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.

B=40(1+0.10)^t

T is time: 2 years

B=40(1+0.10)^2

Now that we have the equation filled out, we plug this into a calculator.

48.4=40(1+0.10)^2

We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.

48.4-40=8.4

Answer: her bill be before tax is $49.2

Step-by-step explanation:

Let x represent the cost of 1 pack of handle bar streamers.

Let y represent the cost of 1 set of beads for spokes.

Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that

2x + 3y = 27.85- - - - - - - - - 1

Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that

x + 4y = 26.3

x = 26.3 - 4y - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

2(26.3 - 4y) + 3y = 27.85

52.6 - 8y + 3y = 27.85

- 8y + 3y = 27.85 - 52.6

- 5y = - 24.75

y = - 24.75/-5

y = 4.95

x = 26.3 - 4y = 26.3 - 4(4.95)

x = 26.3 - 19.8

x = 6.5

If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be

(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7

= $49.2

Answer:

the volume is V≈2.77 cm³

Step-by-step explanation:

surface area= 17 cm

height= 10 cm

volume≈2.77 cm³

Answer: 1/67600

Step-by-step explanation:

probability that the code is 43MZ:

Probability = (Total Required outcome / total possible outcomes)

Possible outcomes (digit) = (00,.............. ..., 99)

2.) possible outcomes (alphabet) = (A, B,............... .., Z)

P(43MZ) = P(43) × P(M) × P(Z)

P(43) = 1/100

P(M) = 1/26

P(Z) = 1/26

THEREFORE ;

P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600