Answer:
13/90
Step-by-step explanation:
The decimal that you wrote is mixed non terminal decimal. Which means all the number don't repeat themselves.
The denominator of a non terminating decimal is always 9 even though it depends on the type of the decimal, whether it is simple or mixed
The denominator of the given decimal is 90. The denominator is 2 digit number since the given decimal is also 2 digit decimal even though it is under repeating bars.
And the numerator is 10, 13-3.
We subtract 3 since it is the one repeating itself.
Hope it helps ;) ❤❤❤
Answer:
12, right?
Step-by-step explanation:
I think the declaration that three had spots may be a red herring meant to mislead you. If she has 7 after giving away 5, that would mean that in total, there are 12 cards.
Answer:124
Step-by-step explanation:
2x + 8 + x - 2 = 180
Add like terms
3x + 6 = 180
Subtract the 6 from both sides
3x + 6 - 6 = 180 - 6
3x = 174
Divide by 3
x = 58
Now we have to find the measure of angle ACD
2(58) + 8 = 124
Answer:2 in.
Step-by-step explanation:
Given
Dimension of photo frame is ![20\ in.\times 24\ in.](https://tex.z-dn.net/?f=20%5C%20in.%5Ctimes%2024%5C%20in.)
If the photo cover an area of ![320\ in.^2](https://tex.z-dn.net/?f=320%5C%20in.%5E2)
Suppose x be the width of border
Therefore dimension of frame without border is
![A'=(20-2x)(24-2x)](https://tex.z-dn.net/?f=A%27%3D%2820-2x%29%2824-2x%29)
And
must be equal to ![320\ in.^2](https://tex.z-dn.net/?f=320%5C%20in.%5E2)
So,
![\Rightarrow (20-2x)(24-2x)=320](https://tex.z-dn.net/?f=%5CRightarrow%20%2820-2x%29%2824-2x%29%3D320)
![\Rightarrow (10-x)(12-x)=80](https://tex.z-dn.net/?f=%5CRightarrow%20%2810-x%29%2812-x%29%3D80)
![\Rightarrow 120-10x-12x+x^2=80](https://tex.z-dn.net/?f=%5CRightarrow%20120-10x-12x%2Bx%5E2%3D80)
![\Rightarrow x^2-22x+40=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2-22x%2B40%3D0)
![\Rightarrow x^2-20x-2x+40=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2-20x-2x%2B40%3D0)
![\Rightarrow (x-2)(x-20)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x-2%29%28x-20%29%3D0)
Thus there are two values of x out of which
is not valid because it is not feasible
thus width of border is ![x=2\ in.](https://tex.z-dn.net/?f=x%3D2%5C%20in.)
Answer:155.2$
Step-by-step explanation:
She works 2 day in week 8 hour in each day so
8×2×9.70=155.2$