The percent of black is 14% if the bag contains only pink, black and yellow marbles the ratio is 8:7 the ratio of black to yellow is 1:5
<h3>What is the ratio?</h3>
It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.
We have:
Pink to black = 8:7
Black to yellow = 1:5
Let's suppose the pink is 8x
Black = 7x
Yellow = 7(5x) = 35x
Percent of black = 7x(100)/(8x+7x+35x)
Percent of black = 14%
Thus, the percent of black is 14% if the bag contains only pink, black and yellow marbles the ratio is 8:7 the ratio of black to yellow is 1:5
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Answer:
and
.
Step-by-step explanation:
If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where
, we just have to equalize them and find the solution for that equation:

So, applying the zero product property, we have:
![x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1](https://tex.z-dn.net/?f=x%3D0%5C%5Cx%5E%7B3%7D-1%3D0%5C%5Cx%5E%7B3%7D%3D1%5C%5Cx%3D%5Csqrt%5B3%5D%7B1%7D%3D1)
Therefore, these two solutions mean that there are two points where both functions are equal, that is, when
and
.
So, the input values are
and
.
Answer:
∠DAB = 80°
∠BAC = 105°
Step-by-step explanation:
You are given ...
∠DAC = 25° = (x -20)°
Adding 20°, we have ...
x° = 45°
Then the measures of the other angles are ...
∠DAB = (2x -10)° = 2(45°) -10°
∠DAB = 80°
and
∠BAC = ∠DAB +∠DAC = 80° +25°
∠BAC = 105°
_____
Nothing in this problem statement defines a circle.
It shouldn't add up to 180 degrees, you're looking for the length of the sides not the degree of the angle. Because it's an equilateral triangle, all sides are the same, so you can just set them equal to each other. D=5
Answer:
69.12
Step-by-step explanation:
C=2πr
C = 2 x π x 11
= 69.12