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Anna [14]
3 years ago
6

Bill is building a model of a square pyramid for a class project. The side length of the square base is 10 inches and the slant

height of the pyramid is 15 inches. What is the surface area of the model pyramid?
Mathematics
2 answers:
Zolol [24]3 years ago
6 0
The surface area for the square pyramid is A= 416.23
k0ka [10]3 years ago
5 0

Answer:

400in.^2 < gradpoint

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a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6?6x7x7=294 b) How many three-digit numbers
love history [14]

Answer:

a) 294

b) 180

c) 75

d) 168

e) 105

Step-by-step explanation:

Given the numbers 0, 1, 2, 3, 4, 5 and 6.

Part A)

How many 3 digit numbers can be formed ?

Solution:

Here we have 3 spaces for the digits.

Unit's place, ten's place and hundred's place.

For unit's place, any of the numbers can be used i.e. 7 options.

For ten's place, any of the numbers can be used i.e. 7 options.

For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.

Total number of ways = 7 \times 7 \times 6 = <em>294 </em>

<em></em>

<em>Part B:</em>

How many 3 digit numbers can be formed if repetition not allowed?

Solution:

Here we have 3 spaces for the digits.

Unit's place, ten's place and hundred's place.

For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.

Now, one digit used, So For unit's place, any of the numbers can be used i.e. 6 options.

Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.

Total number of ways = 6 \times 6 \times 5 = <em>180</em>

<em></em>

<em>Part C)</em>

How many odd numbers if each digit used only once ?

Solution:

For a number to be odd, the last digit must be odd i.e. unit's place can have only one of the digits from 1, 3 and 5.

Number of options for unit's place = 3

Now, one digit used and 0 can not be at hundred's place So For hundred's place, any of the numbers can be used i.e. 5 options.

Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.

Total number of ways = 3 \times 5 \times 5 = <em>75</em>

<em></em>

<em>Part d)</em>

How many numbers greater than 330 ?

Case 1: 4, 5 or 6 at hundred's place

Number of options for hundred's place = 3

Number of options for ten's place = 7

Number of options for unit's place = 7

Total number of ways = 3 \times 7 \times 7 = 147

Case 2: 3 at hundred's place

Number of options for hundred's place = 1

Number of options for ten's place = 3 (4, 5, 6)

Number of options for unit's place = 7

Total number of ways = 1 \times 3 \times 7 = 21

Total number of required ways = 147 + 21 = <em>168</em>

<em></em>

<em>Part e)</em>

Case 1: 4, 5 or 6 at hundred's place

Number of options for hundred's place = 3

Number of options for ten's place = 6

Number of options for unit's place = 5

Total number of ways = 3 \times 6 \times 5 = 90

Case 2: 3 at hundred's place

Number of options for hundred's place = 1

Number of options for ten's place = 3 (4, 5, 6)

Number of options for unit's place = 5

Total number of ways = 1 \times 3 \times 5 = 15

Total number of required ways = 90 + 15 = <em>105</em>

7 0
3 years ago
Solve for x.<br> x+5<br> ___ = 3/8<br> x+8
givi [52]

Answer:

the answer would be  -16/5

Step-by-step explanation:

4 0
3 years ago
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Pls answer……………………..
algol [13]

Answer:

They are not congruent because the lines aren't parallel.

Step-by-step explanation:

For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.

8 0
3 years ago
What is the solution to 107 – (–25)
Over [174]

107 – (–25)

=107 + 25

= 132

Answer

132

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5x-3-2x/7=24 solve for x
bearhunter [10]

Answer:

X=5.7

Step-by-step explanation:

5x-3-2x/7=24

We simplify the equation to the form, which is simple to understand  

5x-3-2x/7=24

Simplifying:

5x-3-0.285714285714x=24

We move all terms containing x to the left and all other terms to the right.  

+5x-0.285714285714x=+24+3

We simplify left and right side of the equation.  

+4.71428571429x=+27

We divide both sides of the equation by 4.71428571429 to get x.  

x=5.72727272727

7 0
3 years ago
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