Answer:
You didn't provide answer options. The correct answer option will be the one where the ratio of red paint to yellow paint is 3:8.
Step-by-step explanation:
To make orange, you need some amount of red and some amount of yellow. As long as you mix them in the same proportions, you will get the same orange colour, regardless of how much total paint you're using. It's the RATIO between colours that matter, not how much colour is used.
In this case we are told that to make orange you can use any of the following combinations:
10.5mL red / 28mL yellow
9mL red / 24mL yellow
7.5mL red / 20mL yellow
Just take any of these and convert into a fraction. The middle option is easiest because it uses whole numbers:
This means for every 3 units of red, you need 8 units of yellow. Whichever answer option has red and yellow in that ratio is the correct answer.
<span>60/5= 12
Just take 60min. and divide it into 5 sections.
So, 1/5 of an hour is 12 minutes.</span>
Answer:
The height from the top of the flag pole to the top of the shadow = 47 feet.
Step-by-step explanation:
Given:
Height of the flag pole = 25 ft
Length of the shadow cast by the flag pole = 40 ft
To find the approximate height from the top of the flag pole to the top of the shadow.
Solution:
On drawing the flagpole and the shadow, we get a right triangle of which the legs are given.
We need to find the hypotenuse of the right triangle.
Applying Pythagorean theorem.
Taking square root both sides :
Thus, the height from the top of the flag pole to the top of the shadow = 47 feet.
4/3 Z - 1/2=0
4/3z =1/2
Z=1/2 x 3/4
Z= 3/8
Answer:
u = x²
Step-by-step explanation:
4x⁴ − 21x² + 20 = 0
Substitute u = x² to turn the equation into a quadratic.
4u² − 21u + 20 = 0
You can solve by factoring.
(4u − 5) (u − 4) = 0
u = 5/4 or 4
x² = 5/4 or 4
x = ±½√5 or ±2
