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12345 [234]
3 years ago
10

A polyhedron has 24 edges and 12 vertices. how many faces does it have​

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

ANSWER

14 faces

EXPLANATION

The relation between the number of faces, the number of vertices and the number of edges a polyhedron has is given by the formula,

F+V=E+2.

It was given that, the number of edges is

E=24 and the number of vertices is

V=12.

We substitute the values into the formula to find F, the number of faces.

F+12=24+2

Group similar terms,

F=24+2-12

F=14.

Hence the polyhedron has 14 faces.

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The equation of a line is given below . 6x+2y =-18 find the x intercept and the y intercept
vova2212 [387]

Answer: x intercept is -3

y intercept is -9

Step-by-step explanation: 6(0) = 2y=-18, divide both sides by 2, get -9 as a y intercept

6x+2(0)=-18

divide both sides by 6, and get -3 as an x intercept

6 0
3 years ago
PLEASE I AM BEGGING help me all I need to so is show work I have to turn this in tmrw pls​
GenaCL600 [577]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>Let's consider all the information given</u>:

  1. Eddie's pension is based on the average of his last four year's salaries

           \hookrightarrow \text{average } = \text {sum of all salaries} / \text{ number of years}\\ \hookrightarrow \text{average}= 392000 / 4 = 98000

   

      2. The employer will pay 1.2% of that average for each year he worked

            \hookrightarrow \text{1.2 percent of average} = \frac{1.2}{100} *98000=1176

      3. The employer will therefore pay in total

             \hookrightarrow \text{Total pension} = 1176 * 20 \text{ years} = 23520

<u>Answer: $23520</u>

<u></u>

Hope that helps!

#LearnwithBrainly

6 0
2 years ago
The sum of two polynomials is –yz2 - 322 – 4y + 4. If one of the polynomials is y - 4yz2 - 3, what is the other polynomial? 0 -2
JulsSmile [24]

Answer:

3yz² - 3z² - 5y + 7

Step-by-step explanation:

Sum of two polynomials = –yz² - 3z² – 4y + 4

One of the polynomial = y - 4yz²- 3

Find the other polynomial

The other polynomial = sum of the polynomials - one of the polynomial

= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)

= –yz² - 3z² – 4y + 4 - y + 4yz² + 3

= -yz² + 4yz² - 3z² - 4y - y + 4 + 3

= 3yz² - 3z² - 5y + 7

A. 0 -2yz?

B. – 4y + 7 01 - 2yz

C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7

6 0
3 years ago
85.87 J or heat energy is added to a 34.8 g mass of substance the temperature rises from 21.76°C
Andru [333]

Answer:

The required specific heat is 196.94 joule per kg per °C  

Step-by-step explanation:

Given as :

The heat generated = Q = 85.87 J

Mass of substance  (m)= 34.8 gram = 0.0348 kg

Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C

Let the specific heat = S

Now we know that

Heat = Mass × specific heat × change in temperature

Or, Q = msΔt

Or, 85.87 = (0.0348 kg ) × S × 12.53°C

Or , 85.87 = 0.4360 × S

Or, S = \frac{85.87}{0.4360}

∴ S = 196.94 joule per kg per °C

Hence the required specific heat is 196.94 joule per kg per °C   Answer

7 0
3 years ago
Kesha feeds her dog, Tiny, 8 ounces of dog food each day. How much dog food, in pounds, does she feed Tiny in 20 days?
weeeeeb [17]
8 ounces* 20 days= 160 ounces
160 ounces divided by 16 ounces in a pound= 10 pounds
She will have fed tiny 10 pounds of dog food in 20 days.
6 0
3 years ago
Read 2 more answers
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