Find the volume of the trapezoidal prism

Answer:

APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.

Answer:

V = 240 [tex]cm^{3}[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism use this equation:

V = l*w*h

l = length (20 cm)

w = width (4 cm)

h = height (3 cm)

Plug all these values into the equation and solve:

V = (20 cm)(4 cm)(3 cm)

V = (80 [tex]cm^{2}[/tex])(3 cm)

V = 240 [tex]cm^{3}[/tex]

Therefore, the volume of the rectangular prism is 240 [tex]cm^{3}[/tex].

I hope this helps! Good luck!

Answer:

25.2

Step-by-step explanation:

Secant-Tangent Formula:

(whole secant) x (external part) = (tangent)^2

(41+12) * 12 = x^2

( 53) * 12 = x^2

636= x^2

Taking the square root of each side

sqrt(636) = x

25.2=x

Answer:

25.2

Step-by-step explanation:

This is an intersection of a tangent and a secant.

Answer: m=12

Step-by-step explanation:

Answer:

m=12

Step-by-step explanation:

m - 3 = 9

You have to make sure

that m stands alone,

that's making m the subject.

So -3 have to cross the equal to sign,

to become +3

m = 9 + 3

m = 12

Hope this help. I wish you all the best

Answer: (1,2)

Step-by-step explanation:

The center of the circle is the midpoint of the diameter, so using the midpoint formula, we get the answer to be [tex]\left(\frac{-1+3}{2}, \frac{5-1}{2} \right)=\boxed{(1,2)}[/tex]

The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

From the question, we are to determine how many hours Elsa played baseball than volleyball

From the given information,

Elsa played sports for 20 hours

From the circle graph,

She spent 25% of the time on baseball

Time spent on baseball = 25% × 20 hours

Time spent on baseball = (25/100) × 20 hours

Time spent on baseball = 0.25 × 20 hours

Time spent on baseball = 5 hours

For time spent on volleyball

From the circle graph, she spent 10% of the total time on volleyball

Time spent on volleyball = 10% × 20 hours

Time spent on volleyball= (10/100) × 20 hours

Time spent on volleyball= 0.1 × 20 hours

Time spent on volleyball= 2 hours

The number of more hours spent on baseball than volleyball

= 5hours - 2 hours

The number of more hours spent on baseball than volleyball = 3 hours

Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

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Answer:

[tex]\bigodot[/tex] None of the other answers are correct.

Step-by-step explanation:

Answer:

(3,7) (4,4) (1,2)

Step-by-step explanation:

180 degrees: (x, y) —> (-x, -y)

Answer:

Slope is 3.

Step-by-step explanation:

Slope formula

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m ... slope

Two points on the line are (x1, y1) and (x2, y2).

Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3[/tex]

You could also do [tex]m = \frac{3-9}{4-6}[/tex] and would get the same result.

Answer: 6

Step-by-step explanation: 10-4=6

Answer:

C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]

Step-by-step explanation:

As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.

Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.

Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem

Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh

From the complete question seen online,

The given parameters are;

The shape of the firm 1's structure = Cylindrical shape

The radius of the firm 1's structure = 35

Height of firm 1 structure = 60

The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base

The formula for the surface area of a cylinder = 2πr² + πrh

If we take away the area of the base, we have;

Surface area of a cylinder excluding the case  = 2πr² + πrh - πr² = πr² + πrh

Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh

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Answer:

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

Answer:

Step-by-step explanation:

A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.

Answer:

(b)  33919

(c)  8 ¹/₃

Step-by-step explanation:

⇒ 317 × 107 = (300 + 10 + 7)(100 + 7)

                    = 300(100 + 7) + 10(100 + 7) + 7(100 + 7)

                    = 30000 + 2100 + 1000 + 70 + 700 + 49

                    = 30000 + 2000 + 100 + 1000 + 70 + 700 + 40 + 9

                    = 30000 + 2000 + 1000+ 700 + 100 + 70 + 40 + 9

                    = 30000 + 3000 + 800 + 110 + 9

                    = 30000 + 3000 + 800 + 100 + 10 + 9

                    = 30000 + 3000 + 900 + 10 + 9

                    = 33919

[tex]\begin{aligned} 5\frac{2}{3}+3\frac{1}{2}-\frac{5}{6}&=\dfrac{5 \times3+2}{3}+\dfrac{3 \times 2+1}{2}-\dfrac{5}{6}\\\\&=\dfrac{17}{3}+\dfrac{7}{2}-\dfrac{5}{6}\\\\& =\dfrac{17 \times 2}{3\times 2}+\dfrac{7\times 3}{2\times 3}-\dfrac{5}{6}\\\\ & = \dfrac{34}{6}+\dfrac{21}{6}-\dfrac{5}{6}\\\\ & = \dfrac{34+21-5}{6}\\\\ & = \dfrac{50}{6}\\\\&=8\frac{1}{3}\end{aligned}[/tex]

The answer is:

(-2/9, 35/9) in rounded decimal form is (-0.22, 3.89)

x = - 2 / 9 which in decimal form as well as rounded is -0.22

y = 35 / 9 which in decimal form as well as rounded is 3.89

Hope this helps...

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

Answer:

Step-by-step explanation:

Dimensions of the room

Find the surface area of the 4 walls

Convert the area to ft²

Find the amount of paint required

Covert the volume to liters

Work Shown:

C = 2*pi*r

C = 2*3.14*6

C = 37.68

Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.

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The n-th trianglar number is given by

[tex]T_n = \dfrac{n(n+1)}2[/tex]

Then

[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]

Alternatively, the triangular numbers are defined recursively by

[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]

This means

[tex]T_1=1[/tex]

[tex]T_2 = T_1 + 2 = 3[/tex]

[tex]T_3 = T_2 + 3 = 6[/tex]

[tex]T_4 = T_3 + 4 = 10[/tex]

so that

[tex]T_3+T_4=\boxed{16}[/tex]

Answer:

D

Step-by-step explanation:

it's because of simple logic

There are 258 ways to color the octagon such that no two adjacent vertices are the same color

The given parameters are:

Since no two adjacent vertices are the same color, we use the following  chromatic polynomial of an octagon equation

Ways = (r - 1)⁸ + (r -1)

Substitute 3 for r

Ways = (3 - 1)⁸ + (3 -1)

Evaluate

Ways = 258

Hence, there are 258 ways to color the octagon

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Answer:

y = 8x + 9

Step-by-step explanation:

Slope-intercept form of an equation is a fill-in-the-blank formula for writing an equation of a line. It is in the form:

y = mx + b

where m is the slope and b is the y-intercept (hence the name) In the problem slope is given, fill it in for m, next to the x. Y-intercept is given in the question also, fill it in in place of b.

y = 8x + 9

Answer:

Logan's solution and reasoning for solving an equation are shown below:

Given

Step 1: x-10-50 Reason 1: Given

Step 2

x-10+10=50+10 Reason 2 Addition Property of Equality

Step 3

60

Reason 3 Simplity

Step 4:

<= 60

Reason 4: Division Property of Equality

Step 5.

x = 40

Reason 5: Simplity

Choose which reason is incorrect.

O Reason 2

O Reason 3

O Reason 4

Step-by-step explanation:

Answer:

2,964

Step-by-step explanation:

52 x 57 = 2,964

Answer:

[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]

Step-by-step explanation:

[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]

From the table,we can extract these equations:

a + e + b = a + c + f = b + g + d = c + h + d

a + e + b = a + c + f ⇒ e + b = c + f

b + g + d = c + h + d ⇒ b + g = c + h

[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]

2 + 3 = 4 + 1 then let’s consider :

e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e

The table becomes:

[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]

From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2

If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7

Then the table becomes

[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]

Then a + 9 = d + 8 ⇒ d = a + 1

If we consider a = 8 ⇒ d = 9

[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]

I know it’s not perfect reasoning ,but it may help.