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lozanna [386]
3 years ago
9

Find the lateral surface area of the prism. geometry hw

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

la=5ah

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

la=5*5*10\\10*5=50\\50*5=250

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

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27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
djyliett [7]

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

4 0
2 years ago
Multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)
vesna_86 [32]

Answer:

(√10 +2√8)(√10 -2√8)=

(10 -8√5 + 8√5 -32)

10+0-32

10-32

= -22

Hope this helps.

6 0
3 years ago
One eighth of a number is ten less than one third of the number. Find the number.
GarryVolchara [31]
X/8 - 10 = x/3

bring the values with the variable on one side

x/3 - x/8 = 10

find a common denominator and subtract these fractions

8x/24 - 3x/24 = -10

now subtract fractions

8x - 3x = 5x

5x/24 = -10

multiply both sides by 24

5x = -240

divide both sides by 5

x = -48

the number is -48
7 0
3 years ago
Read 2 more answers
AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a
BartSMP [9]

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

9,912 ft²+1,020 ft²=10,932 ft²

6 0
3 years ago
A survey of voters explored the relationship between the ages of voters and wether or not they support building skateboard ramps
Novosadov [1.4K]

Answer:

(a)12%

(b)20%

(c)49%

Step-by-step explanation:

(a)In the age group 58 and above:

  • Number in favor of building the skateboard ramps=6
  • Number opposed to building the skateboard ramps=44
  • Total = 50

Percentage of those in favor = \frac{6}{50}X100 =12\%

(b)In the age group 18-37

  • Number in favor of building the skateboard ramps=40
  • Number opposed to building the skateboard ramps=10
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Percentage of those opposed to it = \frac{10}{50}X100 =20\%

(c)

  • Total Number of those in favor of building the skateboard ramps=73
  • Total Number opposed to building the skateboard ramps=77
  • Total = 150

Percentage of those in favour = \frac{73}{150}X100 =48.67 \approx 49\%

6 0
3 years ago
Read 2 more answers
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