Answer:

Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem
where
is the hypotenuse of the triangle.
Therefore, let
be the side length of this largest square. Since the area of a square with side length
is given by
,
will represent the area of the square:

Answer:
A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend
Answer:
Speed = 23809.52 cm/min
Step-by-step explanation:
Given : A car travels at constant speed for 7 days and covers 1500 miles.
To find : What is the speed in centimeters/minute
Solution : Formula to find speed is

Distance traveled = 1500 miles and time taken = 7 days

Now, we have to convert miles into centimeter and days into minutes.
1 day = 24 hours
1 hour= 60 minute
24 hr= 24×60 minute
1 day = 24×60 minute
7 days = 7×24×60 minute = 10,080 minute
Now, 1 mile = 8/5 km = 1.6 km
1 km= 100000 cm
1.6 km = 1.6 × 100000 cm
1 mile = 1.6 × 100000 cm
1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm
Put back the values into speed



Therefore, speed = 23809.52 cm/min
Find a common denominator for 2,4,8. Which is 8. Change the fractions to new ones.
1) 19 4/8= 156/8 Then add the second. 2) 7 5/8= 61/8 one and the third
3) 5 6/8= 46/8 one. Which is
15/8. Then, subtract your answer and the first one. You get 141. Simplify. 17 5/8
Answer:
1.5 seconds
Step-by-step explanation:
Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:
340 = -16x² - 4x + 382
0 = -16x² - 4x + 42 (Subtract 340 from both sides)
16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)
8x² + 2x - 21 = 0 (Divide entire equation by 2)
(4x + 7)(2x - 3) = 0 (Factor LHS)
4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)
4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)
or 
x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.
Hope this helps!