The ratio is 4:7 because since the ratio is red apples to green apples theirs 4 red apples and theirs 7 green
Answer:
1.5 meters.
Step-by-step explanation:
The ladder is 4 meters.
It reaches the height of 3.7 meters on a wall.
This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).
We are to find the base length.
Applying the Pythagorean theorem;
a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.
∴ a² = c² - b² = 4² - 3.7² = 2.31
a (base length) = 
= 1.519868415 meters
To round off the answer to the nearest tenth of a meter;
Tenth of a meter = 
× 1 meter = 0.1 meters
So we're rounding off the answer to one decimal place.
I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.
Answer:
so you will put the point above the zero across from 6
the slope is rise/run
Step-by-step explanation:
Answer:
$40.25
Step-by-step explanation:
35 increase 15% =
35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2
