A convex polyhedron has faces that consist of 6 squares and 8 triangles. The polyhedron has 24 edges. How many vertices does it have?

Euler’s formula: V + F = E + 2

12
18
26
36

Answers

Answer 1

Answer:  A 12 vertices

i got a 100 on unit test on edge

Step-by-step explanation: because a polyhedron that consist of 6 squares and 8 triangle and has 24 edges is a Cuboctahedron which has 12 vertices

https://en.wikipedia.org/wiki/Cuboctahedron

Answer 2

Answer:

12

Step-by-step explanation:

edge 2023


Related Questions

Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10

Answers

Answer:

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]

[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

What is the length of segment np? 1 unit 2 units 3 units 4 units

Answers

Answer:

2 units

Step-by-step explanation:

Answer:

The answer is 2 units

Step-by-step explanation:

For f(x)= 2x + 1 and g(x) = x^2 - 7, find (f+g)(x).

Answers

Answer:

x^2+2x-6, or C

Step-by-step explanation:

We want to combine the values of both f(x) and g(x) into one equation.

We could write this as 2x+1+x^2-7

Simplified- x^2+2x-6, or C

A circle with a radius of 6 m has an arc of 4 pi m. What is the measure of the centra angle?

Answers

Answer: Since the arc length is given (4 ) and the radius is given (6), the central angle  can be found

Arc Length = theta * r

4 pi = theta * 6 Divide by 6

4 pi / 6 = theta

theta = (2/3) pi

Step-by-step explanation:

Cynthia is flying a kite in her back pasture. She let out 50 meters of kite string and the string makes an angle of elevation with the ground of 42. How high is the kite flying to the nearest tenth of a meter

Answers

The required kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

To find the height at which the kite is flying, we can use trigonometry, specifically the tangent function. The tangent of the angle of elevation (42 degrees) is the ratio of the height (h) of the kite to the distance from Cynthia to the kite (50 meters).

The formula for the tangent of an angle is:

[tex]tan(angle) = opposite/adjacent[/tex]

In this case, the angle is 42 degrees, the opposite side is the height of the kite (h), and the adjacent side is the length of the string (50 meters).

[tex]tan(42^o) = h / 50[/tex]

To find the height (h), we can rearrange the equation:

[tex]h = 50 * tan(42^o)[/tex]

Now, let's calculate the height:

[tex]h =50 * tan(42^o)[/tex]

h ≈ 50 meters * 0.9004
h ≈ 45.02 meters (rounded to two decimal places)

So, the kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

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A graph has the two points (2, 110) and (4, 220). What is the rate of change?​

Answers

Answer:

55

Step-by-step explanation:

220-110

110/2=55

Need help with 7 and 8

Answers

Answer:

see explanation

Step-by-step explanation:

The tangent segments are equal so you set them equal to each other and solve.

7)    3x-6 = x + 10                                    8) 4x + 2 = 2x + 8

Complete part (a) and part(b) given the following system of equations. I really need help!!!
x-y=0
2x+3y=-5
a) Solve this system graphically.
b) Write your answer

Answers

Answer:

x=−1 and y=−1

Step-by-step explanation:

Solve by substitution

x−y=0;2x+3y=−5

Step: Solve x−y=0 for x:

x−y+y=0+y(Add y to both sides)

x=y

Step: Substitute yfor x in 2x+3y=−5:

2x+3y=−5

2y+3y=−5

5y=−5(Simplify both sides of the equation)

5y/5=−5/5 (Divide both sides by 5)

y=−1

Step: Substitute−1 for y in x=y:

x=y

x=−1

Answer:

x=−1 and y=−1

The solution to the system is x = -1.8 and y = -1.8.

What is a system of equations?

A group of two or more equations that must be solved simultaneously make up a system of equations. There are many unknown variables in a system of equations, and each equation in the system depicts the relationship between those variables.

A set of variable values that satisfy every equation in a system of equations is the solution to the system of equations.

To solve this system of equations graphically, we can plot the two equations on a coordinate plane and find the point where they intersect, which represents the solution to the system.

a) To plot the equation x - y = 0, we can rearrange it to y = x and plot the line passing through the origin and the point (1, 1), as shown below:

Graph of the line y = x passing through the origin and the point (1, 1).

To plot the equation 2x + 3y = -5, we can rearrange it to y = (-2/3)x - 5/3 and plot the line passing through the points (-2, 1) and (1/3, -5/3), as shown below:

Graph of the line y = (-2/3)x - 5/3 passing through the points (-2, 1) and (1/3, -5/3).

b) The point where the two lines intersect is the solution to the system. From the graph, we can see that this point is approximately (-1.8, -1.8).

Therefore, the solution to the system is x = -1.8 and y = -1.8.

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need help please!!!!!!

Answers

I would go with letter A but I’m not a 100% sure

Find the common ratio of the geometric sequence 20,40,80

Answers

Answer:

a = 2a(- 1)

Step-by-step explanation:

I have done the maths

Kira's purple scarf is 3 1/2 feet long. Her red scarf is 1 1/3 times as long as her purple
scarf. How many feet long is Kira's red scarf?

Answers

Answer:

4.55 or 4.7 depending on how you round

Step-by-step explanation:

3 1/2=3.5

1 1/3= 1.3

3.5x1.3=4.55

Solve for m. Please Help!

Answers

Answer:

m = 39°

Step-by-step explanation:

angles on the circumference of the circle subtended by the same arc are congruent.

∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )

then ∠ ADC = 36° + 33° = 69°

Opposite angles of a cyclic quadrilateral sum to 180° , so

∠ ABC = 180° - 69° = 111°

then

m + 72° = 111° ( subtract 72° from both sides )

m = 39°

Find the surface area of the cylinder. Type an exact answer in terms of pi.

Answers

Answer:

~150.8

Step-by-step explanation:

surface area of a cylinder=2 pi r h + 2 pi r²

[tex]\large{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

POINTS TO BE NOTED

SURFACE AREA OF THE CYLINDER IS ALSO KNOWN AS TOTAL SURFACE AREA A solid figure bounded by a cylinder and two parallel planes intersecting the cylinder.

nd, to find Surface area of cylinder there is one formula

[tex] \pink{ \boxed{ \sf2 \pi \: r(h + r)}}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

★Here

r( RADIUS) = 3cmh(HEIGHT)= 5cm

★ Let's solve:-

[tex] \sf \: ↦2 \pi \times 3(5 + 3) \\ \sf \:↦ 2\pi \times 15 + 9 \\ \sf \:↦ 2\pi \times 24 \\ \sf \: ↦48\pi\:cm²[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}}\orange{ \rule18mm{2.5pt}}[/tex]

Hence;

The surface area of the cylinder=48πcm²

10.
(08.04 MC)
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollars for a tire company to manufacture a tire, where x is the number of tires produced, in thousands:

graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero


If the company wants to keep its production costs under $75,000, then which constraint is reasonable for the model? (1 point)
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Answers

https://brainly.com/question/14438192

Answer:

1.12 ≤ x ≤ 34.18

Step-by-step explanation:

This constraint ensures that the number of tires produced, represented by x, falls within the range where the production costs, represented by C(x), are below $75,000.

Please answer ASAP for 15 points pls

Answers

Answer: 125

Step-by-step explanation:

Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion and needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.

The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.

(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.

Answers

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

How to calculate the length?

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

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factor the following expression
[tex]16x^{2} - 25[/tex]

Answers

[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]

Write your answer in lowest terms.

Working pls ​

Answers

Answer:

4 5/6 or 29/6

Step-by-step explanation:

Conversion a mixed number 8 1/

4

to a improper fraction: 8 1/4 = 8 1/

4

= 8 · 4 + 1/

4

= 32 + 1/

4

= 33/

4

To find a new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/

4

= 32/

4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 5/

12

to a improper fraction: 3 5/12 = 3 5/

12

= 3 · 12 + 5/

12

= 36 + 5/

12

= 41/

12

To find a new numerator:

a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/

12

= 36/

12

b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41

c) Write a previous answer (new numerator 41) over the denominator 12.

Three and five twelfths is forty-one twelfths

Subtract: 33/

4

- 41/

12

= 33 · 3/

4 · 3

- 41/

12

= 99/

12

- 41/

12

= 99 - 41/

12

= 58/

12

= 2 · 29/

2 · 6

= 29/

6

PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11

Answers

Answer:

abce

Step-by-step explanation

correct

help v qucik pleaseeeeee

Answers

[tex](x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2} [/tex]

passes through ( 4 , -4 )

[tex](4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = ( - 5) {}^{2} [/tex]

[tex]r {}^{2} = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

Your radius is 5 units

[tex]c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4[/tex]

To Draw:

Place your center at the point x=4 and y=1

Then take your radius 5 units by going straight down left right or up by 5 units

AND DRAW

Watch help video
Kaylee owns a small business selling clothing. She knows that in the
last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit
card.
Based on these results,
debit card as a
express the probability that the next customer will
pay with

Answers

The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.

What is a probability?

This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.

How to calcuate the probability?

Total of a specific outcome/ total of outcomes

Based on this, let's calculate the probability the next customer pays using the debit card:

Total that pay with debit card: 21 customersTotal of customers: 70 customers21/ 70 =0.3 or 30%

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(t divide 3) + 1= 5 + 1

Answers

Answer:

t=15

Step-by-step explanation:

t/3 + 3/3 = 6

combine fractions w/ common denominator:

t+3/3 = 6

multiply both sides by denominator (3):

note: the two threes from 3 x t+3/3 cancel each other out

t+3=3x6

t+3=18

subtract 3 from both sides and you get 15

t=15

hope this helps :)

Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).

(gof)(4)=0

(Simplify your answer. )

Answers

Answer:

-5=0

Step-by-step explanation:

g(4)=8-8-5=-5 you substitute 4 into x

-5=0

will give brainliest, thanks in advance!!

Answers

Answer:

-3+15i

Step-by-step explanation:

Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]

-3 * 3 -3 (-2) = -3

[tex]-3+15i[/tex]

slove for x 10(2x-4)=100x A.x=7 B.x=3 C.x=1/2 D.x=-1/2

Answers

Answer:

The answer is D. x=-1/2

Step-by-step explanation:

multiply the parantheses by 10 that'll give us 20x-40=100x2. move terms, that'll give us 20x-100x=403. subtract 100x from 20x, that'll give us -80x=404. divide both sides by -80, which is x=-1/2

Answer:

D. x = -1/2

Step-by-step explanation:

10(2x - 4) = 100x

1. Divide both sides by 10.

10/10 (2x - 4) = 100x/102x - 4 = 10x

2. Add 4 to both sides.

2x - 4 +4 = 10x + 42x = 10x + 4

3. Subtract 10x from both sides.

2x - 10x = 10x + 4 - 10x-8x = 4

4. Divide both sides by -8.

-8x/-8 = 4/-8x = -1/2

The answer is D.

What is the value of the expression
below when a
8, b = 16, and c = -4 ?

Answers

Answer:

35

Step-by-step explanation:

5*³√8-(-4)*√16+9=5*2+4*4+9=35

if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?

A- 24
B- 45
C- 60
D- 72

Answers

An arc length is just a fraction of the circumference of the entire circle. So we need to find the fraction of the circle made by the central angle we know, then find the circumference of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.

First, let’s find the fraction of the circle’s circumference our arc length is. The whole circle is 360°. Let’s say our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our arc length will be one fifth of the total circumference. Now we just need to find that circumference.

The circumference can be found by the formula C = πd when we know the diameter and C = 2πr when we know the radius, as we do here. Plugging our radius of 3 into the formula, we get C = 6π meters or approximately 18.8495559 m.

Now we multiply that by 15 (or its decimal equivalent 0.2) to find our arc length, which is 3.769911 meters. Note that our units will always be a length.

How to Find the Sector Area

Just as every arc length is a fraction of the circumference of the whole circle, the sector area is simply a fraction of the area of the circle. So to find the sector area, we need to find the fraction of the circle made by the central angle we know, then find the area of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.

First, let’s find the fraction of the circle’s area our sector takes up. The whole circle is 360°. Our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our sector area will be one fifth of the total area of the circle. Now we just need to find that area.

The area can be found by the formula A = πr2. Plugging our radius of 3 into the formula we get A = 9π meters squared or approximately 28.27433388 m2.

Now we multiply that by 15 (or its decimal equivalent 0.2) to find our sector area, which is 5.654867 meters squared. Note that our answer will always be an area so the units will always be squared.

The circumference of the circle is 72cm.

Arc length formula

[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]

where

r is the radius of the circle

x is the central angle of the arc

Circumference of the circle

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as

circumference of the circle = 2πr

According to the given question we have

central angle of the arc, x = 15 degrees

Arc length = 3 cm

Let r be the radius of the given circle.

Then,

Arc length = 2πr[tex](\frac{15}{360} )[/tex]

⇒ 3 ×[tex]\frac{360}{15}[/tex]  = circumference of the circle   ( circumference or circle =2πr)

circumference of the circle = 72 cm

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At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.

Answers

Step-by-step explanation:

in my opinion

total area = the width × the length

= (3x-4)(-8x+2)

= -24x²+6x+32x -8

= -24x² + 38x -8

Find the equation of
the line that cuts through (0, 5) and (1, 2)?
a. y=-3x+5
C.
y =-57+3
b. y = 3x+5
d.
Y=--X+3
Please select the best answer from the choices provided

Answers

a. y=-3x+5

Substitute your x value into the equation (found in your ordered pair).
-3(0)+5=5 ; if x = 0, y = 5
-3(1)+5=2 ; if x = 1, y = 2

A triangle is reduced.

A triangle has a base of 16 inches, height of 12 inches, and side length of 20 inches. A smaller triangle has a base of 12 inches, height of 9 inches, and side length of blank.
Not drawn to scale

What is the perimeter of the reduced triangle, in inches?
15
21
36
48

Answers

The answer is 36
Explanation because it’s 36

Answer:

c.) 36

Step-by-step explanation:

The triangle was reduced by 36 inches

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