The length of the rectangular base is 9in
<h3>How to determine the value</h3>
It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;
Volume = lwh/3
Where;
- l is the length of the rectangular base of the pyramid
- w is the width of the rectangular base of the pyramid
- h is the height of the rectangular base of the pyramid
Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;
168 = l × 7 × 8/ 3
cross multiply
l × 7 × 8 = 168(3)
Find the product
56l = 504
To determine the length, divide both sides by 56, we get;
l = 504/ 56
l = 9In
Hence, the value is 9in
Learn more about volume here:
brainly.com/question/463363
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Answer:
<h2>i) 3</h2><h2>ii) 5</h2>
Step-by-step explanation:
Let H be the set of students who play Hokey
V be the set of students who play Volleyball
S be the set of students who play Soccer
======================================
card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]
= 73 - [50 + (58-50) + (62-50)]
= 73 - [50 + 8 + 12]
= 73 - 70
= 3
………………………………………………
Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]
= 100 - 95
= 5
…………………
<u><em>Note</em></u> :
A Venn diagram might be helpful in such case.
Answer:
25 years
Step-by-step explanation:
To find the mean you need to find the sum of all numbers and divide by the number of terms there are.
In this case you would need to multiply the mean ages by the number of people used to find the mean:
35 * 3 = 105
23 * 12 = 276
Then add the total ages together:
105 + 276 = 381
Then divide by the number of total people in the office:
12 + 3 = 15
381/15 = 25.4
rounded to 25
Answer:
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Step-by-step explanation:
na
<u>Answer</u>:
189 tickets were sold in amusement park on Saturday.
<u>Step-by-step explanation:</u>
Given:
The ratio of child and adult tickets = 8:1
sold 147 more child tickets than adult tickets
To Find:
Number of tickets sold on Saturday in the amusement park = ?
Solution:
Let
The number of child ticket be x
The number of adult ticket be y
Then from the ratio we know that there are 8 child ticket than adult ticket
=> x =8y------------------------------(1)
Also, they sold 147 more child tickets than adult tickets
=> x = 147 +y--------------------------(2)
Equating (1) and (2)
8y = 147 +y
8y-y = 147
7y=147
y =
y =21
So The number of adult tickets were 21
Now the child ticket
x = 147 +y
x = 147+21
x= 168
Total tickets = adult ticket + child ticket
=>21 +168
=> 189 tickets