Assessment Practice
16. Marique is making a large table in the shape of a trapezoid. She needs
to calculate the area of the table. The longest side of the table is twice
as long as the table's width. Find the area of the table by decomposing
the trapezoid into familiar shapes. Show your work

Answer: 30

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Answer:

30 is the correct answer

Answer:

8( b - 4 )

Step-by-step explanation:

8 x ( b - 4 )

8( b - 4 )

I hope this helps!

Answer:

3

Step-by-step explanation:

If x=11 then the top line would equal 11+4, which is 15

If y=3 then the bottom line would equal 3+2, which is 5

So, you end up with 15/5, which equals 3

Answer:

8 m^2

Step-by-step explanation:

4x2=8 and if it needs to be in sq meters it is 8 m^2  (m^2 means meters squared)

The due date of the promissory note is May 24th 2013.

Data;

To calculate the due date of the note, we can use the formula of future value of the note.

[tex]FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n[/tex]

Let's take the natural log of both sides

[tex](1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28[/tex]

This is approximately 12 months and 9 days.

The due date of the promissory note is May 24th 2013.

Learn more on promissory note here;

https://brainly.com/question/25793394

https://brainly.com/question/4267195

Answer:

p = 1.25x + 70

Step-by-step explanation:

We know she makes $70 each day and we know she makes $1.25 for each computer she sells.

With that we can add it into an equation because we can add 70 + 1.25, but the amount for each computer she sells in unknown so we give it an x which makes it 1.25x.

So, we do 1.25x + 70, but the amount total is missing so that is our p.

This finally completes our equation, p = 1.25x + 70 or  1.25x + 70 = p

Answer:

39 sq.in

Step-by-step explanation:

find area of circle then subtract

Answer:

3.9 in²

Step-by-step explanation:

The shape is constructed of 2 semicircles (with diameter of 6 in) inside a square.  Therefore, to calculate the yellow region, subtract the area of the semicircles (which form a circle) from the area of the square, then halve the answer.

Area of a square = [tex]x^2[/tex]  ([tex]x[/tex] is the length of one side)

Given:

⇒ area of the square = 6² = 36 in ²

Area of a circle = [tex]\pi r^2[/tex]

Diameter of a circle = 2r

(where r is the radius)

Given:

⇒ area of the circle = [tex]\pi[/tex] × 3² = 9[tex]\pi[/tex] in²

Area of yellow region = (area of square - area of circle) ÷ 2

                                    = (36 - 9[tex]\pi[/tex]) ÷ 2

                                    = 3.9 in² (nearest tenth)

The graph of [tex]g(x)[/tex] opens downward and is shifted to the right 6 and up 3 units.

Let be [tex]f(x) = x^{2}[/tex], we need to apply the following three rigid transformations on [tex]f(x)[/tex] to obtain [tex]g(x)[/tex]:

Hence, the graph of [tex]g(x)[/tex] opens downward and is shifted to the right 6 and up 3 units. [tex]\blacksquare[/tex]

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Answer:

The graph of  opens downward and is shifted to the right 6 and up 3 units.

Answer:

9

Step-by-step explanation:

Follow PEMDAS

[tex]4-(-6)+(-4)+3x\\4+6-4+3x\\6+3x\\6+3=9[/tex]

Answer:

6

Step-by-step explanation: [tex]4-\left(-6\right)+\left(-4\right)+3\times0[/tex]

Apply the Inverse Property of Addition

[tex]-\left(-6\right)+3\times0[/tex]

Apply Zero Property of Multiplication

[tex]-\left(-6\right)[/tex]

Determine the sign

[tex]6=YOUR\ ANSWER[/tex]

I hope this helps you

:)

Answer:

312.29 square feet

Step-by-step explanation:

[tex]w = \sqrt{ {d}^{2} - {l}^{2} } = \sqrt{ {25}^{2} - {18}^{2} } \\ [/tex]

w = 17.35

A= l × w

= 18 × 17.35

= 312.29 square feet

Answer:

i think it's 22500 deep down to the ocean

Answer:

D. $2304.70

Step-by-step explanation:

a typical 2000 square foot house may cost anything from $200000 to $300000

Step-by-step explanation:

How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?

B. $1372.70

Answer:

60

Step-by-step explanation:

10x = (21x - 3)/2

20x = 21x - 3

x = 3

measure of arc HF = 21x - 3 = 21(3) - 3 = 60

Answer:

B. (-5,-4)

Step-by-step explanation:

The answer must be at the point where the two functions intersect. They meet at the points (-5,-4) and (2,0). Since (2,0) is not an answer choice, (-5,-4) must be the answer.

Answer:

See below for all answers and explanations

Step-by-step explanation:

1st Problem

[tex]F(s)=\frac{1}{s^4}+\frac{3s}{s^2+9}\\\\f(t)=\frac{t^3}{6}+3cos(3t)[/tex]

2nd Problem

[tex]F(s)=\frac{7}{s}+\frac{6}{s+4}-\frac{5}{s^2+16}\\ \\f(t)=7+6e^{-4t}-\frac{5}{4}sin(4t)[/tex]

3rd Problem

[tex]F(s)=\frac{1}{(s-2)(s+1)(s-3)}\\\\\frac{1}{(s-2)(s+1)(s-3)}=\frac{A}{s-2}+\frac{B}{s+1}+\frac{C}{s-3}\\ \\1=(s+1)(s-3)A+(s-2)(s-3)B+(s-2)(s+1)C[/tex]

[tex]1=(-1+1)(-1-3)A+(-1-2)(-1-3)B+(-1-2)(-1+1)C\\1=12B\\\frac{1}{12}=B[/tex]

[tex]1=(3+1)(3-3)+(3-2)(3-3)B+(3-2)(3+1)C\\1=4C\\\frac{1}{4}=C[/tex]

[tex]1=(2+1)(2-3)A+(2-2)(2-3)B+(2-2)(2+1)C\\1=-3A\\-\frac{1}{3}=A[/tex]

[tex]F(s)=\frac{-\frac{1}{3}}{s-2}+\frac{\frac{1}{12}}{s+1}+\frac{\frac{1}{4}}{s-3}\\ \\f(t)=-\frac{1}{3}e^{2t}+\frac{1}{12}e^{-t}+\frac{1}{4}e^{3t}[/tex]

4th Problem

[tex]F(s)=\frac{s+2}{s^2(s+1)(s-1)}\\ \\\frac{s+2}{s^2(s+1)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s+1}+\frac{D}{s-1}\\\\s+2=s(s+1)(s-1)A+(s+1)(s-1)B+s^2(s-1)C+s^2(s+1)D\\ \\s+2=s^3A-sA+s^2B-B+s^3C-s^2C+s^3D+s^2D\\\\s+2=s^3(A+C+D)+s^2(B-C+D)-sA-B[/tex]

[tex]\begin{cases} A + C + D = 0\\B - C + D = 0\\- A = 1\\- B = 2 \end{cases}[/tex]

[tex]A+C+D=0\\(A+C+D=0)+(B-C+D)=0\\A+B+2D=0\\-1-2+2D=0\\-3+2D=0\\2D=3\\D=\frac{3}{2}[/tex]

[tex]A+C+D=0\\-1+C+\frac{3}{2}=0\\ \frac{1}{2}+C=0\\ C=-\frac{1}{2}[/tex]

[tex]F(s)=\frac{-1}{s}+\frac{-2}{s^2}+\frac{-\frac{1}{2}}{s+1}+\frac{\frac{3}{2}}{s-1}\\ \\f(t)=-1-2t-\frac{1}{2}e^{-t}+\frac{3}{2}e^{t}[/tex]

5th Problem

[tex]F(s)=\frac{s+1}{s(s^2+1)}\\\\\frac{s+1}{s(s^2+1)}=\frac{A}{s}+\frac{Bs+C}{s^2+1}\\\\s+1=(s^2+1)A+s(Bs+C)\\\\s+1=s^2A+A+s^2B+sC\\\\s+1=s^2(A+B)+sC+A[/tex]

[tex]\begin{cases} A + B = 0\\C = 1\\A = 1 \end{cases}[/tex]

[tex]A+B=0\\1+B=0\\B=-1[/tex]

[tex]F(s)=\frac{1}{s}+\frac{-s+1}{s^2+1}\\ \\F(s)=\frac{1}{s}+\frac{1-s}{s^2+1}\\\\F(s)=\frac{1}{s}+\frac{1}{s^2+1}+\frac{-s}{s^2+1}\\\\f(t)=1+sin(t)-cos(t)[/tex]

Answer:

Area of a regular polygon formulas

Step-by-step explanation:

area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides)

area = perimeter * ri / 2 , given ri and polygon perimeter.

area = n * (ri)² * tan(π/n) , given ri.

Answer:

The answer is A!

Step-by-step explanation:

area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)

volume of cylinder = pi*r^2 *h

V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) =

= pi*(80x^3 +144x^2 +84x +16)

Answer:

Step-by-step explanation:

The volume of a cylinder can be thought of as the area of a circle, scaled by the height of the cylinder. The formula for the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Plug in the radius, and the height:

[tex]V=\pi (4x+2)^2(5x+4)[/tex]

Use FOIL to expand the squared binomial:

[tex]V=\pi (16x^2+16x+4)(5x+4)[/tex]

Bring out the binomial to the front of the trinomial:

[tex]V=\pi [(5x+4)(16x^2+16x+4)][/tex]

The process to multiply a trinomial by a binomial involves multiplying the trinomial by each term of the binomial:

[tex]V=\pi [(5x+4)(16x^2+16x+4)]=\pi [5x(16x^2+16x+4)+4(16x^2+16x+4)][/tex]

The rest is just distributing and tedious algebra:

[tex]V=\pi [(80x^3+80x^2+20x)+(64x^2+64x+16)][/tex]

Combine like terms and order the terms from highest exponent to lowest exponent. That is the definition of standard form:

[tex]V=\pi [80x^3+144x^2+84x+16][/tex]

[tex]V=4\pi [20x^3+36x^2+21x+4][/tex]

Answer: 20 Pounds

Step-by-step explanation:

1/4 X 5 = 1/20 then reverse it

20/1 = 20 Pounds

(may not be correct!!!)

Answer:

Step-by-step explanation:

Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.

The solution to the system can be found by substitution:

  x +mx = 1

  x(1 +m) = 1 . . . . factor out x

  x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1

  y = m/(1+m) . . . . find the y-coordinate of the solution

The point of intersection is (1/(1+m), m/(1+m)).

__

The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.

Answer:

x = 10

y = 5√3

Step-by-step explanation:

SOLVE FOR X :

ABC = 90°

ABC + ACB + BAC = 180°

90° + ACB + 30° = 180°

ACB = 60°

cos(ACB) = BC/AC

cos(60°) = 5/x

x = 10

SOLVE FOR Y:

tan(BAC) = BC/AB

tan (30°) = 5/y

y = 5√3

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

Step-by-step explanation: just write from 2 to 11 one by one

Step-by-step explanation:

125 + 30 + 25 + b is equal to 180 degree 19 + y equal to 180 degree equal to 180 - 190 equal to - -10

Answer: $41000 Was the Smiths family budget last year.

Step-by-step explanation:

First you take $4620 and DIVIDE it by .11 you will get $42000 and since last year had $1000 less to spend you subtract $1000 from $42000 to get $41000 for the budget last year.

Answer: 13 and 9

Step-by-step explanation:

because since there are two people 38-(8x2)=22

The only numbers that add up to 22 that have a difference of 4 are 13 and 9

Another way:

T=C+4

T+8+C+8=38

C+4+C+8=

Answer:

3y + 3 or 3(y+1)

Step-by-step explanation:

y + y + 1 + y + 2

= 3y + 3

= 3(y+1)

Answer:

The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 are the edges of the base triangle.

Answer:

A) The page indictor shows 1/4

Step-by-step explanation:

Because 1 is out of a multiple 4 pages.

Hope it helps.

Answer:358800

Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800

Step-by-step explanation: