Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
Answer: total cost = 36/w + 36/l + 9lw
Step-by-step explanation:
The formula for determining the volume of the rectangular box is expressed as
Volume = lwh
Where lwh represents the length, width and height of the box respectively.
Since the volume of the box = 3cm³,then
lwh = 3
h = 3/lw
Since the box is open, the surface area would be
2lh + 2wh + lw
Given that the material for the sides of the box costs 6 per square meter, the total cost for the sides is
(2lh × 6) + (2wh × 6)
Substituting h = 3/lw into the above expression, it becomes.
(2l × 3/lw × 6) + (2w× 3/lw × 6)
= 36/w + 36/l
Since the material for the bottom costs 9per square meter, the total cost for the bottom is
9 × lw = 9lw
Therefore, the total cost of the box as a function of the length land width is
36/w + 36/l + 9lw
Answer: Option B) 7,214
Step-by-step explanation:
The value of the digit 2 in 5,426 is 20.
-In 2,843, the place value of 2 is 2000
- In 7,214, the place value of 2 is 200
- In 43,928, the place value of 2 is 20
- In 67,452, the place value of 2 is 2
So, since he place value of 2 in 7,214 is 200; and since 200 is ten times more than 20 (i.e 20 x 10 = 200)
Thus, the answer is 7214
Answer:
<em>6</em>
Step-by-step explanation:
There are 2 options for 3 items.
So multiple 2 by 3, and you can have a range of 6 lunches able to be chosen.
2 x 3 = 6
