Please answer question 45
2 answers:
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Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where represents length,
represents width and
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
Dividing both sides by 12.
∴
Thus, the height of the tent = 3 feet
Given:
One time payment, <em>p </em>= $300
Payment per month, <em>q = </em>$65
Number of months paid, <em>n</em> = 5
The objectiv is to find the amount she paid in 5 months.
Let <em>x </em>be the amount she paid in 5 months. Then the the formula is,
Let's substitute the values.
Hence, total amount paid in 5 months is $625.