Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale] Surface Area = (one-half) (5) (12) (5) (10) (12) (10) (13) (10) Surface Area = (one-half) (5) (13) (one-half) (5) (13) (13) (10) (12) (10) Surface Area = (2) (5) (13) (5) (10) (13) (10) (12) (10) Surface Area = (one-half) (5) (12) (one-half) (5) (12) (5) (10) (12) (10) (13) (10).

The area of the considered 3 triangles is given by: Option B: 13 sq. units.

Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:

[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]

For this case, the missing image is attached below.

The second and third triangle are easy as their base and height are parallel to x or y axis.

We will find area of third triangle by coordinates of its vertices.

Getting area of first triangle:

Thus, we get:

[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]

Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T

From figure we see:

|RS| = 3 units, h = 3 units

Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]

Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z

From figure we see:

|XY| = 5 units, h = 2 units

Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]

Total area = 3.5 + 4.5 + 5  = 13 sq. units

Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.

Learn more about area of a triangle from its vertices' coordinates here:

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Answer:

13

Step-by-step explanation:

Given the length of the pencil, the length of the marker is 130.8 millimeters.

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

subtract one for heart drawn without replacement leaves 51 cards on which thirteen are clubs. probability of drawing club 13/51. After drawing a heart as first card there are 51 cards left and 13 of them are clubs. So the probability on drawing a club then equals 13/51

Answer:

8 x 8 = 64

Step-by-step explanation:

Just including the second explosion, each of the 8 sparks bursts into 8, that means 8 sparks were produced 8 times, or 8x8

Answer:

1 sparkle Burst it produces 8 sparkles so you say 8×8×8×8×8×8×8×8

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

The distributive property states that:-

[tex]\bigstar{\underline{\boxed{\pmb{a(b+c)=ab+ac}}}[/tex]

Simplify:-

[tex]\bigstar{\boxed{\pmb{5(7h+3m)}}}[/tex]

[tex]\longmapsto\sf{(5~times~7h)+)5*3m)[/tex]

[tex]\longmapsto\sf{35h*15m}[/tex]

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

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

Answer:

don't know if this is the right way butttt i'm going to give it a shot

Step-by-step explanation:

Cost: I'm guessing this is for the rent for the shoes or is the total cost?

Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}

Lucky Spares: 3 + 1.5g = c | c + 1.5g = t

K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be

either i hope this helps :)

Answer:

Step-by-step explanation:

Step-by-step explanation:

P(-4,-1)======P'(-1,4)

Q(-4,-3)=====Q'(-3,4)

R(-2,3)======R'(3,2)

Answer:

To answer this, we have to do the equation below:

[tex]1,380/80[/tex]

When we do this, we come up with the answer of 17.25

Now we know that we get paid $17.25 an hour.

Now, we must do the equation below:

[tex]100 X 17.25[/tex]

When we multiply, we get the answer of 1,725

So, we get paid $1,725 if we work for 100 hours.

Step-by-step explanation:

Hope this helps!

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer:

$40

Step-by-step explanation:

Old Sale Price = $100

It was given 60% discount

 60% of 100 = 0.6 x 100 = 60

we remove the discount from  the original price( 100 -60 ) =  40.

So the new sale price for the pants are now $40

Answer:

338 m^2

Hope this helps!

If this helps please show your thanks by marking brainliest ;)

Answer:

Step-by-step explanation:

17) B. They are adding 2 to both sides.

18) A. A segment is equal to itself.

19) D. They are multiplying both sides by 2.

20) C. They are simply swapping the left and right hand sides of the equation

Answer: Shift down 3 units

Step-by-step explanation:

From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)

Since we have to translate the polygon to (−3,−3)

So:

−3−(−3)=0

−3−(0)=−3

Therefore shift down 3 units is the correct answer

Answer:

shift down 5 units

Step-by-step explanation:

i took the quiz

Answer:

a ) 0.75 = 0.70 + 0.05

b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07

c) 36.85 = 30+6 + 0.80 + 0.05

d) 3.74 = 3+ 0.70 + 0.04

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Write the following decimals in expanded form:

a) 0.75

0.70 + 0.05

b) 245.07

200 + 40 + 5 + 0.07

c) 36.85

30 + 6 + 0.8 + 0.05

d) 3.74

3 + 0.7 + 0.04

Hope this helps!

Answer:

Step-by-step explanation:

Credit should go to the previous helper here:

https://brainly.com/question/21285117

I have not cross-checked but the previous answers were:

"

For average daily balance:

Form date 9/1 to date 9/5 :

Balance x number of the days = $ 387.52 x 5 days = $ 1937.6

As on date 9/6 :

($ 387.52 - $ 50.00) x 1 day = $ 337.52

From date 9/7 to date 9/18 :

Balance = $ 337.50

Number of days = 12 days

Therefore, product = 12 days x $ 337.52

= $ 4050.24

As on 9/19 :

($ 337.52  + $ 62.66) x 1 day = $ 400.18

From date 9/20 to date 9/30

Balance :$ 400.18

Number of days = 11 days

Therefore, product = 11 days x $ 400.18

= $ 4401.98

Average daily balance

=  ($ 1937.6 +  $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30

= $ 370.91

Finance charge = $ 370.91 x 1.75 %

= $ 6.49

New balance = $ 370.91 + $ 6.49

= $ 377.4

"

Answer: A, TRUST ME!

Step-by-step explanation:

Answer:

11/9

Step-by-step explanation:

Answer:

a rhombus would have 2 pairs of parallel sides, or a parallelogram. (First image is parallelogram and second is rhombus)

Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

In this problem, the number of bikes rented per day is given by:

n(p) = 300 - 10p.

Hence, the revenue function is given by:

R(n) = p x n(p)

R(n) = 300p - 10p².

Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:

[tex]x_v = -\frac{300}{-20} = 15[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

-0.6875

[tex]Convert\ -11/16\ to\ decimal\\ \downarrow\\ -0.6875[/tex]

I hope this helps you

:)

Answer: -0.6875.

Step-by-step explanation: -1/16 is -0.0625, and if you add -1/16 eleven times, you get -0.6875.  Therefore, -11/16 as a decimal is -0.6875.

Have a great day! :)

Answer: C, D, and F

-> C. Quadrilateral

-> D. Parallelogram

-> F. Rectangle

Step-by-step explanation:

-> A. Square

     [✗] A square needs 4 congruent sides, this only has "two sets of two"

-> B. Trapezoid

     [✗] A trapezoid has one pair of parallel sides, but this shape has two

-> C. Quadrilateral

     [✓] This shape has four sides

-> D. Parallelogram

     [✓] This shape's opposite sides are congruent and parallel

-> E. Rhombus

     [✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent

-> F. Rectangle

     [✓] This shape has four sides, and it's opposite sides are congruent

Answer:

Q15: A

Q12: A,C,D

Q13: B

Q14: C

Answer:

1) Left 5, Down 1

2) A, C, D

3) B

4) D

Step-by-step explanation:

Desmos graphing calculator will help you with all of these.

Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.

The objective of fair and accurate credit transactions act-

Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

Option d is the correct option.

Learn more about the fair and accurate credit transactions act here

https://brainly.com/question/6656307

Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.

Step-by-step explanation: quizlet

Answer:

41 ≤ x

x ≤ 45

Step-by-step explanation:

Hi there! The fraction that gives you 11/12 is 44/ 48.

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Hope this helps you!

Answer:

6.75 miles

Step-by-step explanation:

Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.

hope that helps

Answer:

6.75 miles

Step-by-step explanation:

How many 1/2 hours in 1 1/2 hour? 1.5 ÷ 0.5 = 3

2.25 x 3 = 6.75

OR

Find the unit rate = 2.25 x 2 = 4.50 (we multiply it by 2 because there 2 half hours in an hour)
4.50 x 1.50 = 6.75

Answer:

  36.5 square units

Step-by-step explanation:

There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.

__

The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...

  A = 1/2bh

Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...

  A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5

The area of the bounding rectangle is ...

  A = bh = 9×7 = 63

So, the area of the figure is the difference ...

  A = 63 -26.5 = 36.5 . . . square units

__

The other methods of finding the area have been added as attachments.

Answer:

y = -x + 1

example:

(-2, 3)

y = -(-2) + 1

y = 2 + 1

y = 3

Answer:

y = -x + 1

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) = (-2-3)/(3-(-2)) = -5/5 = -1

y-int: y=mx+b --> plug in a point --> 3 = (-1)(-2)+b --> b=1

y = -x + 1

Answer:

8.5 cm

Step-by-step explanation:

volume = height × area of base

since this a square, area of base = x²

so 289 = 4 × x²

x² = 289 ÷ 4

x² = 72.25

so x = √72.25

x = 8.5cm

hope this helps