Find the volume of the triangular prism.​

Answer:

$2332.25 per month

Step-by-step explanation:

1) The monthly share of annual expenses can be calculated from the annual expenses. Since there are 12 months in a year, the monthly share of annual expenses is gotten by dividing the annual expenses by the number of months in a year.

2) The monthly share of annual expenses is given by:

Monthly share of annual expenses = Annual expenses / 12 months

Monthly share of annual expenses = $27987 / 12 months = $2332.25 per month

Answer:

3/2 and -4

Step-by-step explanation:

that is the answer

Answer:

∠1=102 ∠2=78

Step-by-step explanation:

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

Answer:

Step-by-step explanation:

according to the question equation is

5x+8+3x=26+6x

8x+8=26+6x

8x-6x=26-8

2x=18

x=18/2

x=9

Answer:

x=9

Step-by-step explanation:

Answer:

Need a picture so someone can answer.

Answer:

Step-by-step explanation:

Sorry but i can not help you without a picture being present

Answer:

No

Step-by-step explanation:

[tex]7x-4y>-4[/tex]

[tex]7(-9)-4(7)>-4[/tex]

[tex](-63)-(28)>-4[/tex]

[tex](-91)>-4[/tex]

[tex](-9,7)[/tex] is not a solution to the system of inequality

Step-by-step explanation:

[tex](1. \: x = - \frac{y}{3} [/tex]

[tex](2. \: x = \frac{22 + 3y}{2} [/tex]

I think this is correct and what you wanted

Answer:

48

Step-by-step explanation:

Answer:

Average of 3mph

Step-by-step explanation:

If Sarah goes uphill at 2mph and downhill at 4mph.

Then to find the average you can:

Add 2 plus 4

which equals 6

Then divide the sum of 6 by the number of values given, there are two values (2 and 4)

6 divided by 2 equals 3

So the average is 3mph

Answer:

No solutions

Step-by-step explanation:

3(x-6)= 3x-18

3x=15≠3x-18

I have added the complete question. That is in the attachment

Answer:

$13.2

Step-by-step explanation:

Cost of 1 inch = $0.4

Perimeter of painting is same as perimeter of a rectangle since painting is a rectangle

Perimeter = 2(l+b)

L = 10¼

B = 6¼

P = 2(10¼ + 6¼)

P = 2(41/4 + 25/4)

P = 2(10.25 + 6.25)

P = 2(16.5)

P = 33

Total cost of framing

= 0.4 x 33

= $13.2

Answer:

[tex]area = 960cm^2[/tex]

Step-by-step explanation:

Perimeter = 2 x (length + width) ------(1)

Perimeter = 124cm

Let length be x

Given width is 2cm shorter than length , that width = x -2

    [tex]Perimeter = 2 (x + (x -2))\\\\124 = 2(x +x -2)\\\\62 = 2x -2 \\64 = 2x\\x = 32[/tex]

Length = 32cm

Width = 32 - 2 = 30cm

Area = length x width

  [tex]= 32 \times 30 = 960cm^2[/tex]

Answer :

[tex]360 - 108 = 252\\since \ divided \ equally = 126 each\\so \ b = 126[/tex]

Hi there! We can find the value of x by using this equation.

[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]

If you remember, tanx = opposite/adjacent. We focus on the angle x currently.

Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.

[tex] \large{arctan( \frac{19}{23} )} = x[/tex]

You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.

arctan(19/23) is 0.69

Then we round up and get 0.7

Hence, the value of x ≈ 0.7

Answer

Questions can be asked through comment.

Hope it helps, and Happy Learning! :)

Answer:

a). x=18x2

        18x2=36

Don spent 36 dollars.

b). x=36x0.3

        36x0.3=10.8

Brad's sister spent 10 dollars and 80 cents.

c). 36+18=54

1.0-0.13 = 0.87

54x0.87=46.98

54-46.98=7.02

Don and Brad paid 7 dollars and 2 cents in tax.

Answer:

696.96 million acres of land

Step-by-step explanation:

Acres not federally owned = Percentage of acres not federally owned x total acres of land

Percentage of acres not federally owned = 100% - percentage of acres federally owned

100% - 82% = 18%

0.18 x 3872 = 696.96 million acres of land

Answer and Step-by-step explanation:

The answer would be A.

This is because we don't know how many students correctly answered 29 questions, but we do know how many students correctly answered 20-29 questions on the test.

As for the other answers, it asks about the full range and not a specific number.

#teamtrees #PAW (Plant And Water)

Answer:

b)

p = d − 2

p = d + 1

Step-by-step explanation:

From the above question:

Interpreting the statement above to form algebraic expressions, we have:

Variable p is 2 less than variable d.

Less than means to subtract in this context

p = d - 2

Variable p is also 1 more than variable d

More than means to add in this context

p = d + 1

Therefore, the pair of equations tha best models the relationship between p and d is Option b :

p = d − 2

p = d + 1

Answer:

Step-by-step explanation:

v=3p(w-r)

v=3pw-3pr

v+3pr=3pw

(v+3pr)/3p=w

Answer:

C - $20.30

Step-by-step explanation:

-9.55 + (-10.75) = - 20.3

The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.

Given that Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2.

When a graph is reflected along an axis, it says x-axis, then that leads the graph to go just to the opposite side of the axis as if we can see it in a mirror.

If we study it more, then we will find that it is symmetric, however, each point is equidistant from the axis of reflection as that of the image of that point.

Therefore, The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ5

Answer:

y = -7/3x + 10

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative inverse of the first line

m = -7/3

Step 2: Find b

y = mx + b

y = -7/3x + b

3 = -7/3(3) + b

3 = -7 + b

b = 10

Answer:

D

Step-by-step explanation:

V = 4.5 ×5 ×2.5 = 56.25

(D )

Answer:

56  1/4 cm^3

Step-by-step explanation:

To find the volume,

V = l*w*h

  = 2 1/2 * 4 1/2 * 5

Changing to improper fractions

   = 5/2 * 9/2 *5

   = 225/4

Changing back to a mixed number

56  1/4 cm^3

Answer:

x=8

Step-by-step explanation:

The angles are vertical angles so they are equal

8x+36 = 5x+60

Subtract 5x from each side

8x+36-5x = 5x+60-5x

3x+36 = 60

Subtract 36 from each side

3x+36-36 = 60-36

3x =24

Divide each side by 3

3x/3 = 24/3

x=8

Answer:

Width of the box = 18.97 inches

Step-by-step explanation:

Length of the bat = 36 inches.

That means length of the diagonal of the bat (BC) = 36 inches

By applying Pythagoras theorem in right triangle BDC,

BC² = BD² + CD²

BC² = (30)² + w² -------(1)

BY applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

(36)² = 6² + BC²

By substituting the value of BC from equation (1),

(36)² = 6² + (30)² + w²

1296 = 36 + 900 + w²

w² = 1296 - 936

w = √360

w = 18.97 inches

Answer:

80%

Step-by-step explanation:

Answer:

VWU and FWT are vertical angles.

Their measure is same and:

Answer: (a)

Step-by-step explanation:

Given

The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used

for 600 kWh in a month, [tex]b(x)[/tex]  is

Substitute 600 for [tex]x[/tex]  in [tex]b(x)[/tex]

[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]

Therefore, the bill for a person is [tex]\$80[/tex]

Answer:

102

Step-by-step explanation:

170*(60%) = 170 *0.6= 102

60% of the entire part is also 0.6

Answer:

32°

Step-by-step explanation:

[tex]64 \div 2 = 32[/tex]

Answer:

32°

Step-by-step explanation:

They are vertically opposite angles hence equal ,

> 2x = 64°

> x = 64°/2

> x = 32°