x2-30x+81

Answer (x-27)(x-3)

The area of triangle ACD and ABC are 17 and 46.75 square units respectively

The formula for finding the area of a triangle is expressed as:

A = 0.5bh

where:

b is the base

h is the height

Area of the triangle ACD = 0.5DE * AC

Area of the triangle ACD = 0.5(2)(17)

Area of the triangle ACD = 17 square units

For the triangle ABC

Area =  0.5(BE)(AC)

Area= 0.5(5.5)(17)

Area = 46.75square units

Hence the area of triangle ACD and ABC are 17 and 46.75 square units respeectively

Learn more on area of triangle here:  https://brainly.com/question/17335144

Answer:

Multiplication.

Parentheses comes first, regardless of PEMDAS. When you see parentheses, only the P for parentheses in PEMDAS should be your main concern.

Answer:

5

Step-by-step explanation:

-20 / -4 = 5

A negative divided by a negative is positive!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

[tex]\large\boxed{\red{\sf x =6+\sqrt{53},6-\sqrt{53}} }[/tex]

Step-by-step explanation:

We would like to solve the given quadratic equation by completing the square method .The given equation is ;

[tex]\longrightarrow x^2=12x +17[/tex]

Subtract 12x to both sides ,

[tex]\longrightarrow x^2-12x = 17 [/tex]

Here the co-efficient of x² is already 1 . So , we shall rewrite it as ,

[tex]\longrightarrow x^2-2(6)(x) = 17 [/tex]

Add 6² on both sides ,

[tex]\longrightarrow x^2-2(6)(x) + 6^2=17+6^2 [/tex]

Now LHS is in the form of (a-b)² = a²-2ab+b² ; so that ;

[tex]\longrightarrow (x -6)^2 = 17+36 [/tex]

Simplify RHS ,

[tex]\longrightarrow (x-6)^2=53 [/tex]

Put square root on both sides,

[tex]\longrightarrow (x-6) = \pm\sqrt{53}[/tex]

Add 6 on both sides,

[tex]\longrightarrow x = 6\pm\sqrt{53} [/tex]

Separate the two solutions ,

[tex]\longrightarrow \underline{\underline{x =6+\sqrt{53},6-\sqrt{53}}} [/tex]

And we are done!

Answer:

The answer is 25%

Step-by-step explanation:

1/4=.25

.25=25%

Answer:

★ 1/4 written as a percent is  25%. To get this answer, divide 1 into 4. 1/4=0.25. Now, multiply 0.25 by 100 to get 25.

Step-by-step explanation:

Hope you have a great day :)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

426 429 418 417 422 435 420 410 432 435 423 426 409 437 436 429 411 426 411 438 422 428 413 414

A) Point estimate of the mean(m) : (ΣX) /n

Sample size(n) = 24

(426+429+418+417+422+435+420+410+432+435+423+426+409+437+436+429+411+426+411+438+422+428+413+414) / 24

= 10167 / 24

= 423.625 (3 decimal places)

b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population

s = √[Σ(X - m)² / (n - 1)]

Using calculator :

s = 9.277

s = 9.28 ( 2 decimal places)

C.)

Standard Error of point estimate :

SE = s/√n

SE = 9.28 / √24

SE = 1.8942720

(d) Calculate a point estimate of the median oxide thickness for all wafers in the population.

Median = 0.5 (n +1)th term

0.5(25) = 12.5th term ;

(12th + 13 th term)/2

(423 + 426) / 2

= 849/2

= 424.5

(e) Calculate a point estimate of the proportion of wafers in the population that have oxide thickness greater than 430 angstrom

Number of oxide thickness greater than 430 = 6

(number greater than 430 / total number of oxides)

= 6 / 24

= 1/4

= 0.25

Answer:

17 is the answer for #4

Answer:

1. A: 1

2. B 2[tex]\pi[/tex]

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

Answer:

Step-by-step explanation:

formula = b*h : 2

=> 4*6:2=24:2=12

Answer:

Average speed was 60mph so 240 ÷ 4 = 60

Slope = change in Y / change in x

slope = (1-5) /(3-2)

Slope = -4/1

Slope = -4

Answer:

slope = -4

Step-by-step explanation:

The formula for finding slope is (y2 - y1)/(x2 - x1)

x1 = 2

y1 = 5

x2 = 3

y2 = 1

Plugging in our numbers,

(1 - 5)/(3 - 2) = -4/1

= -4

Answer:

Option E

Step by step explanation:

We know that angle J is a right angle meaning it's an angle 90 degrees. So to find angle L;

90+40+L=180

130+L=180

L=180-130

So therefore angle L =50 degrees

Now to find side J which is the opposite in the triangle,we use tan because it has adjacent and opposite which is what we're looking for;

Tan 40 degrees =opposite/26

We cross multiply

Opposite =Tan 40 degrees×26

Opposite =21.8

Side J=21.8

With side J found we can find side L using Pythagoras theorem

L^2=21.8^2 +26^2

L^2=475.24+676

L^2=1,151.24

L=Square root of 1,151.24

L=33.9

Answer:

  A) Angle L= 50 degrees, side L= 31.0, side J= 40.4

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. The given side of k is opposite the given angle K, so the sine or tangent functions can be used to find missing sides. If we want to start with the hypotenuse, we can use the relation ...

  Sin = Opposite/Hypotenuse

  sin(40°) = 26/j

  j = 26/sin(40°) ≈ 40.4 . . . units (matches choice A)

Similarly, we can use the tangent relation to find side ℓ:

  Tan = Opposite/Adjacent

  tan(40°) = 26/ℓ

  ℓ = 26/tan(40°) ≈ 31.0 . . . units (matches choice A)

Of course, angle L is the complement of 40°:

  L = 90° -40° = 50°

The solution to the triangle is L = 50°, ℓ = 31.0, j = 40.4.

Answer:

1, 4, 5, 6, & 9 are the only digits that can be the last digit of the square of a natural number.

Step-by-step explanation:

The answer is three red balls

Answer:

'b' and 'c' = 119 degrees

Step-by-step explanation:

Given that this is a basic intersection of straight lines, we can assume 'b' and 'c' are equal as well as the given angle and it's opposite. Given 61 degrees and and two straight lines we can just take 180 degrees - 61 degrees and we get 119 degrees, I solved for 'b', but this will give the same answer for 'c', as 'b' and 'c' are equal.

Answer:

B = 119°

C = 119°

Step-by-step explanation:

Answer:The temperature at 4 AM is 41 degrees.

Step-by-step explanation:

We have an average temperature of 45 degrees and a high of 53 degrees. That makes the midline 45 and the amplitude 8.

We could spend some time trying to figure out how to get a graph in which x=0 corresponds to midnight. However; that is not necessary. We can use any sinusoidal function we want, as long as we understand which part of the graph corresponds to what hour of the day.

So with midline 45 and amplitude 8, let's choose a simple function:

f%28x%29+=+45%2B8sin%28x%29

The time at which we are to find the temperature, 8 AM, is 8 hours before 4 PM, which is the time when the temperature is maximum. 8 hours is 1/3 of a day, so we want to find the temperature 1/3 of a cycle before 4 PM.

Since we are using a sine function with no horizontal shift, the time of maximum temperature, 4 PM, corresponds to 1/4 of the way through a cycle, at pi/2.

We want to go back 1/3 of a cycle, or (2/3)pi, from pi/2; that puts us at -pi/6.

That makes it easy to find the temperature at 4 AM without a calculator:

45%2B8%2Asin%28-pi%2F6%29+=+45%2B8%28-.5%29+=+45-4+=+41

The temperature at 4 AM is 41 degrees.

Answer:

probably he temperature at 4 AM is 41 degrees.

Step-by-step explanation:

#A

3 has two images 2,7 hence not a function

#B

Every domain has unique range hence function

#C

3 has two images hence not a function

#4

-1 has two images hence not a function

Answer:

3 mi

Step-by-step explanation:

Use the equation for area of a triangle, A = 1/2 * base * height. Plug in the numbers you have and solve for the height, You get that 3 = 1/2 * 2 * h, and that h = 3.

Hopefully this helps- let me know if you have any questions!

Step-by-step explanation:

solve accordingly to the picture

Using proportions, it is found that they pay the bank $2332.72 each month.

A proportion is a fraction of a total amount.

Their payments are given by:

Then, the total amount is:

1,711.22 + 539.83 + 81.67 = $2332.72.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

[tex] \frac{3}{23} [/tex]

Step-by-step explanation:

Since we start with 24 marbles, 9 of which are red, the probability of selecting a red marble is 9/24. The red marble is not put back, so there are now 23 marbles, 8 of which are red. It follows that the probability of selecting a second red marble is 8/23. So the probability of selecting a red marble and then another red marble is

[tex] \frac{9}{24} \times \frac{8}{23} = \frac{3}{8} \times \frac{8}{23} = \frac{3}{23} [/tex]

Answer:

Equivelant fractions.

Step-by-step explanation:

Ask your self..

How did the 1/3 become 7/21?

Its very simple multiply 1/3's numerator and denominator by 7

So its going to be.. 1 x 7 = 7

3 x 7 = 21

Therefore, we have 7/21

Answer:

Solution

20%× X= 5%×680

or, X=170.

The required number is 170.

Answer:

Simplify the radical expression. 3√0.125b3 0.5b −0.5b 5b −5b - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation:

Answer: A: 3/5

Step-by-step explanation:

He made 9 shots

He attempted 15

The ratio will be 9/15, which can be simplified to 3/5

Have a nice day :)

Answer:

A) 3/5

Step-by-step explanation:

No.of baskets attempted = 15

No.of baskets made = 9

Given, To find the ratio of no.of baskets made to no.of baskets attempted

9:15 (or) 9/15

If we simplify 9/15, we get 3/5

Please mark me as brainliest

Answer:

4 millimeters

Step-by-step explanation:

(32-24)/2