Answer:
47.25 ft³
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh . . . . . . . B is the area of the base, h is the height.
The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...
A = 1/2bh . . . . . . b is the base, h is the height
Using the given values for the entrance base and height, we get ...
A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²
Then the volume of the tent is ...
V = (7.875 ft²)(6 ft) = 47.25 ft³
The tent volume is 47.25 cubic feet.
Well you will get a right angled triangle
Using Cos x = adj/hyp
cos33.9 = 8.2/hyp
hyp=8.2 / (cos33.9). So it would be <span>9.9 miles to 1 dp</span>
Answer: the original price of the skirt is $24
Step-by-step explanation:
Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)
Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is
0.75(x + 18)
Applying the distributive property, it becomes
0.75x + 13.5
Jade pays a total of 31.50 for the two items. It means that
0.75x + 13.5 = 31.5
0.75x = 31.5 - 13.5
0.75x = 18
x = 18/0.75
x = $24
Answer:
$130
Step-by-step explanation:
Cost = 85
To make 30% profit, he would need to sell them at:
85 + (0.3)(85) = 110.5
Now, he would need to sell them at 110.5 AFTER giving a 15% discount. So essentially we are asking, "<em>What number discounted (decreased) by 15% would give us 110.5??"</em>
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We can let that price be x and write the equation:
x - (0.15)(x) = 110.5
x - 0.15x = 110.5
0.85x = 110.5
x = 110.5/0.85 = 130
The retailer should mark the jacket at $130
Answer: Yes
Step-by-step explanation:
Since the numerator is multiplying square root 13 by square root 2, we can break them apart.
You are correct, 
over is equal to one, so we can "cancel them out" of our expression.
This leaves us with: 
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<em>We can also test this by using a calculator:</em>
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