Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answer:

x = 27

Step-by-step explanation:

because the angles are on a line that means they add up to 180

18 + x + 5x = 180

then combine like terms

18 + 6x = 180

then you subtract 18 from both sides

6x = 162

lastly divide both sides by 6

x = 27

Answer:

2

Step-by-step explanation:

i got 20/8 from multiplying same with 1/2

20/8 - 1/2 = 2

Answer:

  a)  f'(x) = 12x

  b)  -120

  c)  36

  d)  y = 36x -55

Step-by-step explanation:

The derivative is the limit of the average slope on an interval as the interval size approaches zero. The equation for a tangent line is conveniently written in point-slope form when the tangent point and the derivative there are known.

__

The derivative is ...

  [tex]\displaystyle f'(x)=\lim_{h\to 0}{\dfrac{f(x+h)-f(x)}{h}}=\lim_{h\to 0}\dfrac{(6(x+h)^2-1)-(6x^2-1)}{h}\\\\=\lim_{h\to 0}\dfrac{(6x^2+12xh+6h^2-1)-(6x^2-1)}{h}=\lim_{h\to 0}\dfrac{12xh+6h^2}{h}=\lim_{h\to 0}(12x+6h)\\\\\boxed{f'(x)=12x}[/tex]

__

  f'(-10) = 12(-10) = -120

__

  f'(3) = 12(3) = 36

__

The point of tangency is ...

  (3, f(3)) = (3, 6·3² -1) = (3, 53)

The slope there was found in part (c) to be 36. So, the point-slope equation for the tangent line can be written ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -53 = 36(x -3) . . . . equation of the tangent line at (3, 53)

This equation can be rearranged to slope-intercept form:

  y = 36x -55 . . . . . add 53 and simplify

Answer:

0.315  to nearest thousandth.

Step-by-step explanation:

7e^3x − 4 = 14

7e3x  = 18

e^3x = 18/7

3x = ln(18/7)

x = ln(18/7) / 3

= 0.31482.

Answer:

Below.

Step-by-step explanation:

0.9 = 90/100 fraction and

= 0.90 as a decimal.

Answer: 77

Step-by-step explanation:

[tex]$$Find the range of the list:$$(41,43,52,25,96,19,72)$$The range of a list is given by:(largest element) - (smallest element) \\$(41,43,52,25,\bold{96},19,72)$ We see that the largest element is $96:$ $-(($ smallest element $))+96$\\$(41,43,52,25,96,\bold{19},72)$ We see that the smallest element is $19:$ $96-19$\\$$96-19=77$$Therefore, the range of the set is 77[/tex]

Answer:

The answer is A: Spell check

Answer:

-ln(| x - 1 |) + -ln(| x - 2 |) + C

Step-by-step explanation:

[tex]\displaystyle \int \dfrac{1}{x^2 -3x +2} dx\\\\\\=\displaystyle \int \dfrac{dx}{x^2 -3\cdot \dfrac 32 \cdot x + \left(\dfrac 32 \right)^2 -\left( \dfrac 32 \right)^2 +2}\\\\\\=\displaystyle \int \dfrac{dx}{\left(x- \dfrac 32 \right)^2 +2- \dfrac 94}\\\\\\=\displaystyle \int \dfrac{dx}{\left(x - \dfrac 32 \right)^2-\dfrac 14 }\\\\\\=\displaystyle \int \dfrac{du}{u^2-\left( \dfrac 12 \right)^2} ~~~~~~~~~~~~~~~~~~;\left[u = x - \dfrac32\implies du= dx\right]\\[/tex]

[tex]=\dfrac{1}{2\cdot\tfrac 12} \ln \left| \dfrac{u-\dfrac 12 }{u+\dfrac 12 } \right|+C~~~~~~~~~~:\left[ \displaystyle \int \dfrac {dx}{x^2 -a^2} = \dfrac 1{2a} \ln \left| \dfrac{x-a}{x+a} \right| +C\right]\\\\\\=\ln\left|\dfrac{x- \dfrac 32 - \dfrac 12}{x-\dfrac3 2 + \dfrac 12 } \right|+C~~~~~~~~~~~~;\left[\text{Substitute back}~u =x- \dfrac 32 \right]\\\\\\=\ln\left|\dfrac{x-2}{x-1} \right|+C[/tex]

Answer:

x=2,3

Step-by-step explanation:

[tex] {x}^{2} - 5x + 6 = 0 \\ {x}^{2} - 2x - 3x + 6 = 0 \\ x(x - 2) - 3(x - 2) = 0 \\ (x - 2)(x - 3) = 0 \\ either \: x = 2 \: \: \: \: \: or \: x = 3[/tex]

Answer:

9 people

Step-by-step explanation:

The amount spent on tickets

318.5 - 17 = 301.5

If 301.5 was for tickets alone, the number of tickets can buy

301.5/33.5 = 9

Now

our equation is

No of persons=x

It's around 1 to 3

So

From 35 it's 1,2,3

From 5500 samples of 35

Now

If 1 comes from each

If 2

If 3

Answer:

1

Step-by-step explanation:

because parentheses go first so 2 x 3 = 6 minus 1 = 5 minus 4 = 1

The value of y will be,y=√(x²-12²).Concept of trigonometry is used in given problem.

The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle

Apply phythogorous theorm in the triangle ABC;

AC²=AB²+BC²

16²=z²+x²

Apply Pythagoras theorm in triangle ABD

AB²=BD²+AD²

x²=y²+12²

y²=x²-12²

y=√(x²-12²)

Hence,the value of y will be,y=√(x²-12²).

To learn more about the trigonometry refer to the link;

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Answer:

3 + 2/3 = 9/3 + 2/3 = 11/3
11/3 * 2/3 = [tex]\frac{11}{3} * \frac{2}{3}[/tex] = [tex]\frac{22}{9}[/tex] = [tex]2\frac{2}{9}[/tex]

Self note:

Friday says 3 2/5 and Saturday is blank
Sorry I took so long

Answer:

B. acute, isosceles

Step-by-step explanation:

The two small lines intersecting the two sides stand for congruency.

Two sides are congruent, so this is an isosceles triangle.

None of the angles here are greater or equal to 90 degrees, so it is an acute triangle.

Please mark brainliest!

Answer:

B. Acute, isosceles

Step-by-step explanation:

Angles can be classified by both their sides and angles. There are 3 classification for each measurement, making 6 total classifications. This includes acute, right, and obtuse for angles and isosceles, scalene, and equilateral for sides.

Sides

The tic marks on 2 sides on the side show that they are congruent. Any triangle that has 2 congruent sides is classified as isosceles.

An additional fact is that the angles opposite of the congruent sides are also congruent. This information is not pertinent to this question, but might be useful in the future.

Angles

A triangle's classification for its angles is always based on the largest angle in the triangle. In this case, the largest angle is an acute angle. Remember that an acute angle is less than 90 degrees. This means that the triangle is acute.

Answer:

666  2/3

Step-by-step explanation:

45 %  *  x  = 300

.45 x = 300

x = 300 / .45 = 666  2/3

Answer:

3b-10=20

Step-by-step explanation:

3b-10=20

3b-10+10=20+10

3b=30

3b/3=30/3

b=10

Answer:

$111222.02

Step-by-step explanation:

This year = Last year * (100%-9%)

This year = 122222 * 91% = 111222.02

Answer: [tex](2, 2), (6, 4), (8, 10), (9, 28)[/tex]

Step-by-step explanation:

The first four ordered pairs using the two sequences are:[tex](2, 2), (6, 4), (8, 10), (9, 28)[/tex]

The first rule is to add 10, then divide by 2 starting from 2

Add/Divide:

[tex]10=2+10=12[/tex]

[tex]2=12[/tex]÷[tex]2=6[/tex]

Add/divide again:

[tex]10=6+10=16[/tex]

[tex]2 = 20[/tex]÷[tex]2 = 10[/tex] [tex]2=16[/tex]÷[tex]2=8[/tex]

Add/divide again:

[tex]10=8+10=18[/tex]

[tex]2=18[/tex]÷[tex]2=9[/tex]

Answer:

  an = 40 -7(n -1)

Step-by-step explanation:

The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:

  an = a1 +d(n -1)

__

The first term of the given sequence is ...

  a1 = 40

The common difference for this sequence is ...

  d = 33 -40 = -7

Using these values in the equation for the n-th term, we have ...

  an = 40 -7(n -1) . . . . . explicit formula for the n-th term

Answer:

$2 shared among 4 is 50 cents each or $0.50 each.

Step-by-step explanation:

2/4 = 50

Answer:

+1

Step-by-step explanation:

Positive 1

Answer:

16 11/12

Step-by-step explanation:

7 2/3 + 3 1/4 =

7 8/12 + 3 3/12 =

10 11/12 + 6

16 11/12

Answer:

49.7359 units²

Step-by-step explanation:

Area = πr²

Circumference = 2πr

2πr = 25

πr = 12.5

r = 12.5 / π = 3.97887

π(3.97887)² = 49.7359 units²

Hope this helps

The volume of the cylinder is 471.43 cm³.

The volume of the cone is 157.14 cm³.

The volume of the sphere is  523.81 cm³.

The shape that would hold the most volume is the sphere.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = πr²h

Where:

π = 22/7

r = radius

22/7 x 5² x 6 = 471.43 cm³

Volume of a cone = 1/3 x volume of a cylinder

1/3 x  471.43 cm³ = 157.14 cm³

What is the volume of a sphere?

Volume of a sphere = 4/3 x pi x r³

4/3 x 5³ x 22/7 = 523.81 cm³

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Answer:

-10.7

Step-by-step explanation:

tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer

Answer:

The answer would be B

Step-by-step explanation:

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

A right triangle with sides 3 and 4 would have a hypotenuse of 5.

The answer would be:

B. The triangle in question is not a right triangle.

Answer:

68

Step-by-step explanation:

180-112=68

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