This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
406.4
Step-by-step explanation:
When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.
Answer:
see explanation
Step-by-step explanation:
(1)
given
4x² = 81 ( divide both sides by 4 )
x² = 
( take the square root of both sides )
x = ± 
= ± 
---------------------------------------------------------------------
(2)
subtract 7 from both sides
(4x - 3)² = 32 ( take the square root of both sides )
4x - 3 = ± 
= ± 4
Add 3 to both sides
4x = 3 ± 4 ( divide both sides by 4 )
x = 
±
Answer:
a. Strawberry > Rasberry
6.18 > 6.1
b. required more in strawberry
Step-by-step explanation:
Given that
Strawberry = 6.18 pound
Raspberry = 6.1 pound
Based on the above information
As we can see that the number of pounds in strawberry is more than the number of pounds in Rasberry
So, it would be
a. Strawberry > Rasberry
6.18 > 6.1
b. Here the inequality means that the number of pounds is required more in Strawberry as compared to the Rasberry so that the jam could be made
