You should model it if you know the thingy to the answer then multiply the dividend to get the multiplcation using the essenials standard algarithm for properties of equality.
Answer:
Bags = 22
Hat = 14
22 x 2 = 44
14 x 4 = 56
So the first part is true
3 x 22 = 66
7 x 14 = 98
So the second part is true
14 is the answer
It's trial and error
Step-by-step explanation:
Answer:
The lengths of the sides of a right triangle are
Longer leg = 0.4 units.
Shorter leg = 0.3 units.
Step-by-step explanation:
Given:
Hypotenuse = 0.5 units
Let the length of shorter leg of right triangle be x units then
According to the given condition,
length of longer leg will be (0.1 + x) units
Now,we know for a right triangle,by Pythagoras theorem we have
![(\textrm{Hypotenuse})^{2} = (\textrm{Longer leg})^{2}+(\textrm{Shorter leg})^{2}](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%20%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D)
substituting the values we get
![0.5^{2}= (x+0.1)^{2}+ x^{2}](https://tex.z-dn.net/?f=0.5%5E%7B2%7D%3D%20%28x%2B0.1%29%5E%7B2%7D%2B%20x%5E%7B2%7D)
Applying
we get
![0.25= x^{2} +2\times 0.1\times x+ 0.1^{2} + x^{2} \\2x^{2} +0.2x+0.01-0.25=0\\2x^{2} +0.2x-0.24=0\\](https://tex.z-dn.net/?f=0.25%3D%20x%5E%7B2%7D%20%2B2%5Ctimes%200.1%5Ctimes%20x%2B%200.1%5E%7B2%7D%20%2B%20x%5E%7B2%7D%20%5C%5C2x%5E%7B2%7D%20%2B0.2x%2B0.01-0.25%3D0%5C%5C2x%5E%7B2%7D%20%2B0.2x-0.24%3D0%5C%5C)
which is a quadratic equation
dividing the equation throughout by two we get
![x^{2} +0.1x-0.12=0\\\textrm{on factorizing we get}\\x^{2} +0.4x-0.3x-0.12=0\\(x+0.4)(x-0.3)=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B0.1x-0.12%3D0%5C%5C%5Ctextrm%7Bon%20factorizing%20we%20get%7D%5C%5Cx%5E%7B2%7D%20%2B0.4x-0.3x-0.12%3D0%5C%5C%28x%2B0.4%29%28x-0.3%29%3D0)
Since x cannot be negative we take
x = 0.3 units
∴ Longer leg = x + 0.1
= 0.3+0.1
=0.4 units
So, the lengths of the sides of a right triangle are
Longer leg = 0.4 units.
Shorter leg = 0.3 units.
Answer:
0
Step-by-step explanation:
Well, since the line has the same y coordinates, you know it's a horizontal line.
All slopes of horizontal lines are 0.
Answer:
i think its 42.77... might be wrong tho
Step-by-step explanation:
being marked down by 60 percent means to multiply original number by 0.4
so we get 39.6
the multiply it by 1.08 to get 42.768