In the diagram, there is an object with 6 triangular faces. On each corner there is a number (two are shown). The sum of the numbers on the corners of each triangle is the same. What is the sum of all 5 numbers?

In The Diagram, There Is An Object With 6 Triangular Faces. On Each Corner There Is A Number (two Are

Answers

Answer 1

Answer:

17

Step-by-step explanation:

Let the two "middle" vertexes be x1 and x2, and let the "lower" vertex be y. We know that

[tex]1 + 5 + x1 = 1 + 5 + x2[/tex]

Therefore x1=x2. We'll call that value just x.

But now we have to be careful, because

[tex]5 + x + y = x + x + y[/tex]

Simplifying we can get the value of x:

[tex]x = 5[/tex]

Now, substituting back in, we get

[tex]1 + 5 + 5 = 5 + 5 + y \\ y = 1[/tex]

So, the sum of all vertexes is equal to

[tex]2 \times 1 + 3 \times 5 = 17[/tex]

Answer 2

The sum of all the five numbers is 17

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the top and bottom vertex of the object be A

So , the vertex number A = 1

There are 2 vertex for the object

Now , the value of 2A = 2 x 1

2A = 2

And , there are 3 base points for the triangular object with the base number as 5

Let the base number be B = 5

There are 3 base points

3B = 3 x 5

3B = 15

So , the total sum of the numbers = 2A + 3B

2A + 3B = 2 + 15

             = 17

Hence , The sum of all the five numbers is 17

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Related Questions

The radius of a circle is 13 cm. Find its circumference in terms of pie.

Answers

Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm

Justine earned a total lifetime income of
$1,050,000 as a flight attendant. Her sister
Abigail earned a total lifetime income of
$4,800,000 as an attorney. If each sister worked
for 30 years, how much greater was Abigail's
annual salary than Justine's?

Answers

Answer:

$125,000

Step-by-step explanation:

In 30 years, Abigail earned the following amount more than Justine:

$4,800,000 - $1,050,000 = $3,750,000

Per year, the difference is

$3,750,000/30 = $125,000

Answer: $125,000

What fraction is less then 1/2.
Choices are
16/33. 3/5 6/11 8/15

Answers

Answer:

16/33

Step-by-step explanation:

half of 5 is 2.5

half of 11 is 5.5

half of 15 is 7.5

half of 33 is 16.5

so 16/33 is the only fraction less than half of the denominator

hope this helps chu <3

Answer:

16/33

Step-by-step explanation:

because 16 +16 is 32 not 33 and it is a 1 over what it's supposed to be so it's less than 1/2 because 1/2 it technically something divided by 2 because it's half of something.

Find the surface area of the rectangular prism with the following
dimensions:
length = 4 m
height = 3 m
width = 8 m

Answers

A = L x W x H

A = 4 x 8 x 3

A = 96

20% of 150 is of what

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150 x .2 = 30

When Hailey goes on long road trips, she likes to chew a new piece of gum onaverage every 2 hours (assume this can be modeled as a Poisson process). Hailey is takinga road trip from Chicago to Nashville, so the drive will take 7 hours. What is the smallestnumber of pieces of gum that Hailey should bring with her, if she wishes the probability ofrunning out of gum to be less than 0.3

Answers

Answer:

4

Step-by-step explanation:

it's simple just go 2 4 6 and 8 and count how many numbers there are there will be an extra hour tho

The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.

Answers

Answer:the width is 3 feet

Step-by-step explanation:

Please help, will give 14 points.

Answers

Answer:

25

Step-by-step explanation:

count the frequencies so to get your answer. It is 25.

if it helps don't forget to like and mark me down

Need answer asap, will give brainliest.

Answers

The solution is the point where the lines cross. So (-1, -2)

What is the value of y ?

Answers

[tex]y^{2}=6*(6+2)\\\\y^{2}=48\\\\4\sqrt{3}[/tex]

What is the slope of the linear line?
4/5
4/-5
5/6
5/-6

Answers

Answer:

Slope is rise/run

Slope is -4/5

= 4/-5

PLEASE HELP ME!!!
No links ,answers only!!!

Answers

Answer:

[tex]f(-4) = 64[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,1)[/tex]

Required

Find f(-4)

We have that:

[tex]y = ab^x[/tex]

For [tex](x_1,y_1) = (1,2)[/tex]

[tex]2 = ab^1[/tex]

[tex]2 = ab[/tex]

For [tex](x_2,y_2) = (2,1)[/tex]

[tex]1 = ab^2[/tex]

Rewrite as:

[tex]1 = ab * b[/tex]

Make b the subject

[tex]b = \frac{1}{ab}[/tex]

Substitute: [tex]2 = ab[/tex]

[tex]b = \frac{1}{2}[/tex]

Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]

[tex]2 = a * \frac{1}{2}[/tex]

[tex]a = 2 * 2[/tex]

[tex]a = 4[/tex]

To calculate f(-4), we have:

[tex]f(x) = ab^x[/tex]

[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]

[tex]f(-4) = 4 * 16[/tex]

[tex]f(-4) = 64[/tex]

PLEASE HELP ME ANYONE :(

Answers

Answer

B

Step-by-step explanation:

5*5*6=150

Answer:

150

Step-by-step explanation:

There are 6 green marbles and 4 red marbles in a jar. What is the probability of picking a red marble

Answers

Answer:

33.33% chance

Step-by-step explanation:

6-4=2

2 more green marbles than red

2/3 or green & 1/3 is red

so devide 100%

what is the dependent variable in the equation y=6x+2

Answers

The dependent variable in the equation is y. This letter is often used as the dependent variable, but not all of the time.

Plz someone answer I will give u points

Answers

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

Pls help extra points and mark brainlist

Answers

Answer:

(3,2)

Step-by-step explanation:

...................

(3,2) brainiest? Hope this helps

Which of the following is the equation of the function below?
y=2csc[2(x+pi)]-2
y=0.5sec[2(x+pi)]-4
y=0.5csc[2(x+pi)]-4
y=2csc[2(x+pi)]-2

Answers

The equation of the function shown in the graph would be [tex]y=0.5sec[2(x+\pi)]-4[/tex].

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

This is the graph of y = sec x that is shifted down 2 units and shifted to the left π/3 units.

When x=0,

[tex]y = 0.5sec[2(x+\pi)]-4\\\\y = 0.5sec[2(x+\pi/3)]-4\\\\y = 1-2\\\\y = -1[/tex]

Thus, The y-intercept is -1.

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A composite figure is shown below.
What is the area of the composite figure?
12 in.
0204 square inches
222 square inches
3 in.
5 in.
228 square inches
4 in. 4 in.
234 square inches
24 in.
8 in.

Answers

Answer:

234 square inches

Step-by-step explanation:

Ok take this shape step by step. First solve the rectangle.

The area of the rectangle would be: 24 * 8 = 192

Rectangle Area: 192

Then, solve the area for the triangle in the middle.

The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.

Middle Triangle Area: 12

Then solve for the last triangle.

Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30

Last Triangle area: 30

Finnally, add all the areas up,

192 + 12 + 30 = 234

Two lines, C and D, are represented by the equations given below:

Line C: y = x + 14
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)

a
(6, 20), because both lines pass through this point

b
(6, 20), because the point does not lie on any axis

c
(3, 11), because one of the lines passes through this point

d
(3, 11), because the point lies between the two axes

Answers

the answer is d to this

Answer:

The answer is c

Step-by-step explanation:

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Gazebo blend with the Mexican Shade Grown blend, but always in the same proportion. Yesterday, you mixed 90 pounds of the Gazebo blend with 27 pounds of the Mexican Shade Grown blend. Today, there is 60 pounds of the Gazebo coffee left in stock. How many pounds of the Mexican Shade Grown coffee should you mix with it to get your secret blend?

Answers

Answer:

18lbs of Mexican Shade Grown coffee

Step-by-step explanation:

Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...

90lbs Gazebo  <=====>   27lbs Mexican Blend

60lbs Gazebo  <=====>   x lbs Mexican Blend

(60 * 27) / 90 = x

1620 / 90 = x

18 lbs = x

We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend

A bank took a random sample on processing time in days for loan approvals: 73, 19, 16, 64, 28, 31,90, 60, 56 and 28 What is the standard deviation of this sample?​

Answers

Answer:

The standard deviation of this sample is 25.35

Step-by-step explanation:

Standard deviation for a sample:

Square root of the sum of the squared differences between each value and the mean, and divided by one less than sample size.

Finding the mean:

The mean is the sum of all values divided by the number of values.

In this question, there are 10 values. So

[tex]M = \frac{73+19+16+64+28+31+90+60+56+28}{10} = 46.5[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{(73-46.5)^2+(19-46.5)^2+(16-46.5)^2+(64-46.5)^2+(28-46.5)^2+(31-46.5)^2+(90-46.5)^2+(60-46.5)^2+(56-46.5)^2+(28-46.5)^2}{9}} = 25.35[/tex]

The standard deviation of this sample is 25.35

Please help me out with this asap.​

Answers

Answer:

a) 21

b) 3905.44236

c) 251.94689

d) 1763.62824

Step-by-step explanation:

a) 42÷2=21

b) 60x42=2520

[tex]\pi[/tex]r²=1385.44236

2520+1385.44236=3905.44236

c) 2x[tex]\pi[/tex]x21=131.94689+60+60=251.94689

d) 251.94689x7=1763.62824

May you solve this for me?

Answers

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

What is the length of BC?
(Type your answer in the following format: sqrt(7) or 12sqrt(7) )

Answers

Answer:

the answer is 5 radical3

Solve for Y= 1680 + 0.72

Answers

y=1680+0.72
y=1680.72

Determine center point and radius in the equation x^2+y^2-6y+1=0

Answers

9514 1404 393

Answer:

center: (0, 3)radius: 2√2

Step-by-step explanation:

The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.

  x^2 +(y^2 -6y) = -1

  x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square

  x^2 +(y -3)^2 = 8 . . . . standard form equation

__

Comparing the above equation to the form:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r

we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.

The center point is (0, 3); the radius is 2√2.

Find the volume of the prism

Answers

1/2 x base x height x length

1/2 x 5 x 2 x 3

=15

Help be genuine I will mark brainliest

Answers

Answer: 90

Step-by-step explanation:

two numbers add up to 144. one number is half the square of the other number. what are the numbers










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Answers

Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

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