<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3</em><em>2</em><em>/</em><em>3</em><em>1</em>
<em>pl</em><em>ease</em><em> </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>
<em>Hope </em><em>it</em><em> helps</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:

Using Pythagoras theorem in the base triangle, we get




The perimeter of the triangular base is:


Lateral area of a triangular prism is:

Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting
in the above formula, we get


Therefore, the lateral area of the prism is 1568 in².
Answer:
15x12x10.
The roof is 12x15.
Two walls are each 12x10.
The other two walls are each 15x10.
12x15 + 12x10 + 15x10 = 180 + 120 + 150 = 450 ft^2
Step-by-step explanation:
Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: <em>2</em> × 2 × <u>3</u>
30: <em>2</em> × <u>3</u> × 5
42: <em>2</em> × <u>3</u> × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are <em>2</em> and <u>3</u>. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: <em>2</em> × 2 × <u>3</u> × 5 × 7 = 420
Answer:
4.229
Step-by-step explanation:
75 = 4(2)^x
75/4 = 2^x
Apply ln both sides
ln(75/4) = ln(2^x)
ln(75/4) = x ln(2)
x = ln(75/4) ÷ ln(2)
x = 4.22881869