Find the area of the figure A) 14 cm B) 50 cm C) 60 cm D) 64 cm​

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property

Which = x^2 - 3x - 28

Answer:

[tex]x^{2} -3x-28[/tex]

Step-by-step explanation:

[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]

Answers:

Area = 254.34 square feet

Circumference = 56.52 feet

=========================================================

Work Shown:

Area = pi*(radius)^2

A = pi*r^2

A = 3.14*9^2

A = 254.34 square feet

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

Circumference = 2*pi*(radius)

C = 2*pi*r

C = 2*3.14*9

C = 56.52 feet

The two results are approximate since pi = 3.14 is approximate.

1st area of circle:

[tex]\bold{\ area \ of \ circle \ : \pi r^2}[/tex]

[tex]\hookrightarrow \sf (3.14)(9)^2[/tex]

[tex]\hookrightarrow \sf 254.34 \ ft^2[/tex]

2nd circumference of circle:

[tex]\bold{circumference \ of \ circle \ : \ 2\pi r}[/tex]

[tex]\hookrightarrow \sf 2(3.14)(9)[/tex]

[tex]\hookrightarrow \sf 56.52 \ ft[/tex]

[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

The answer is 28 Units

It's number 3.

The function is f(x) = x³ − 4x² + 2.

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

As,

Slope = rise/ run

Given:.

f(x) = x³ − 4x² + 2

As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation.

slope= d/dx [f(x)]

slope= d/dx  ( x³ − 4x² + 2)

slope=  3x² - 8x

slope= 3* 3* 3 -8*3

slope= 27-24

slope= 3

Learn more about the slope here:

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Answer:

$13

Step-by-step explanation:

9x + 6.6y = 71.4

6.6(4) = 26.4

71.4 - 26.4 = 45

9 / 45 = 5

$2 = 4

$1 = 5

$2 * 4 = $8

$1 * 5 = $5

$8 + $5 = $13

Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8

Step-by-step explanation:

i hope this is the answer your looking for

Matthew will score less than 27 points in about 0.15% of his basketball games.

=======================================================

Explanation:

mu = 33 = population mean

sigma = 2 = population standard deviation

Let's find the z score when x = 27

z = (x - mu)/sigma

z = (27-33)/2

z = -6/2

z = -3

A score of 27 points is exactly three standard deviation units below the mean of 33 points.

Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.

That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.

One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.

To get a more accurate answer, you can use a Z table to find that

[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]

which isn't too far off from the 0.15%

Answer:

I believe is the correct answer

Step-by-step explanation:

a

Answer:

C

Step-by-step explanation:

it's well known that the value of sin60 is sqrt 3/2

it's also the same as cos 30

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

Answer:

8/6

Step-by-step explanation:

Sam has 8 times the number of eggs Kyle has can be expressed as:

[tex]\displaystyle \large{8\cdot \dfrac{1}{6}}[/tex]

As given, the number of eggs Kyle has is 1/6 so out of 6 eggs, Kyle only had 1.

Therefore, 8 multiplies/times the number of eggs is:

8/6

Answer:

70°

Step-by-step explanation:

All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.

Answer:

y = 3/4x - 1

Step-by-step explanation:

m = (1-4)/(4-8) = -3/-4 = 3/4

b = (0, -1)

y = mx + b

y = 3/4x - 1

Check the picture below.

the assumption is that the graph keeps on going all the way to ±infinity.

Bear in mind that the interval notation is referring to the endpoints on the x-axis.

Answer:

first and last option

Step-by-step explanation:

the first and the last are increasing from left to right since the slope is positive.

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

Answer:

each baker cost $4

Step-by-step explanation:

4 times 9 is 36, and that leaves 4

Answer:

That would be week 2 and 4 (B). They are both at 12 students attending

The probability of on-time arrival in class given that the subject is biology is, 82.4%.

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;

The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table.

Here, the table is,

Subject:      On-time Assignment:     On-time Arrival to Class:

PHYSICS                  89.7%                                     82.3%

MATH                        88.2%                                     88.7%

CHEMISTRY             89.4%                                     83.1%

BIOLOGY                  90.1%                                     82.4%

TOTAL                       88.5%                                     84.7%

Now, from table;

The probability of on-time arrival in class given that the subject is biology is, 82.4%.

Hence, the probability of on-time arrival in class given that the subject is biology is, 82.4%.

Learn more about the probability visit:

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Answer:

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

-- Credit -- libretexts

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

Answer:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

Step-by-step explanation:

Answer:

p = 20

Step-by-step explanation:

Step1 :

Multiply each value by its  frequency then  add up :

(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610

Step2 :

Calculate the total of the frequencies :

6 + 8 + p + 10 + 6 = p + 30

The mean is equal to

[tex]\frac{20p+610}{p+30}[/tex]

Therefore

[tex]20.2 = \frac{20p+610}{p+30}[/tex]

then

20.2 × (p + 30) = 20p + 610

then

20.2p + 606 = 20p + 610

Then

20.2p -  20p = 610 - 606

Then

0.2p = 4

Then

p = 4/(0.2)

  = 20

Answer:

1,079 more pounds

Step-by-step explanation:

because if you do 83x13 you will get 1,079

Answer:

Missing Angle = 75 degrees

This answer may not be correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The Missing Angle:

All of the angles add up to 180 since it is a triangle, so the equation is:

90 (the box aka right angle) + 15 + (the missing angle) = 180

Then, add 90 + 15 = 105. After that, do:

180 - 105 = 75 degrees (don't forget the label!)

I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.

Answer:

Step-by-step explanation:

The missing angle is complementary with given since the triangle is right.

Use trigonometry to find x

Use Pythagorean to find y

Answer:

A. in Step 3

Step-by-step explanation:

It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.

x + 10 = 0

Add -10 to both sides.

x = -10

So, the error is in step 3.

Answer:

A . In Step 3.

Step-by-step explanation:

In step 3 the student went wrong

x = 4 or x = -10 is correct

( if x + 10 = 0, then x = -10)

Answer:

  (d)  see attached

Step-by-step explanation:

A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.

  a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)

  b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)

  c) 1 - 0 ≠ 0 - 1 . . . . not linear

  d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function

Letter D. A linear function.

Step-by-step explanation:

# Brainliest Bunch

Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!

Answer: See below

Step-by-step explanation:

Mean:

Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.

Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]

Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:

[tex]S=\frac{\sigma}{\sqrt{n}}[/tex]

Since n=4, therefore

S = 0.001

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{-7-(-3)}{4-2} =\frac{-7+3}{2} =\frac{-4}{2} =\bigstar{\boxed{\pmb{-2}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)