Answer:
The integer that represents the situation is 5.
Step-by-step explanation:
When you gain 5 yards, that is considered a positive increase in value.
You can either put 5 or +5 because they indicate the same positive value.
Answer:
No; 0.075(15 + s) = 3; s = 25 oz
Step-by-step explanation:
No, but <em>you are close</em>.
The mass of copper in your 800 grade silver is
Mass = 0.20 × 15 = 3 oz
You are adding s oz of silver so that 7.5 % of the total mass is still 3 oz of copper.
The equation becomes
0.075(15 + s) = 3 Divide both sides by 0.075
15 + s = 40 Subtract 15 from each side
s = 25 oz
You add 25 oz of silver to your 800 grade alloy to get sterling
.
<em>Check:
</em>
0.075(15 + 25) = 3
0.075 × 40 = 3
3 = 3
If one of them is wrong it is because it is blury! sorry!
13) 72/100
Answer: BC= 18 units .
Explanation:
Since we have given that
Diagonal of square WXYZ is given by
![12\sqrt{2}](https://tex.z-dn.net/?f=12%5Csqrt%7B2%7D)
As we know the formula of "Diagonal of square",
![D=a\sqrt2\\\\12=a\sqrt{2}\\\\\frac{12}{\sqrt{2}}=a\\\\6\sqrt{2}=a](https://tex.z-dn.net/?f=D%3Da%5Csqrt2%5C%5C%5C%5C12%3Da%5Csqrt%7B2%7D%5C%5C%5C%5C%5Cfrac%7B12%7D%7B%5Csqrt%7B2%7D%7D%3Da%5C%5C%5C%5C6%5Csqrt%7B2%7D%3Da)
Since 'A' is the midpoint of WX so,
Length of AX=YE is given by
![\frac{6\sqrt{2}}{2}=3\sqrt{2}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Csqrt%7B2%7D%7D%7B2%7D%3D3%5Csqrt%7B2%7D)
Since AB=AC and ΔABC is right angled triangle , so,
![\angle C=\angle B=45\textdegree(\text{ because equal sides have equal angles })](https://tex.z-dn.net/?f=%5Cangle%20C%3D%5Cangle%20B%3D45%5Ctextdegree%28%5Ctext%7B%20because%20equal%20sides%20have%20equal%20angles%20%7D%29)
So, In ΔCEY,
![\sin{45\textdegree}=\frac{EY}{CY}\\\\\frac{1}{\sqrt2}=\frac{3\sqrt2}{CY}\\\\CY=3\sqrt2\times \sqrt2=3\times 2=6\ units](https://tex.z-dn.net/?f=%5Csin%7B45%5Ctextdegree%7D%3D%5Cfrac%7BEY%7D%7BCY%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt2%7D%3D%5Cfrac%7B3%5Csqrt2%7D%7BCY%7D%5C%5C%5C%5CCY%3D3%5Csqrt2%5Ctimes%20%5Csqrt2%3D3%5Ctimes%202%3D6%5C%20units)
in ΔXYB,
![\sin{45\textdegree}=\frac{XY}{BY}\\\\\frac{1}{\sqrt2}=\frac{6\sqrt2}{CY}\\\\CY=6\sqrt2\times \sqrt2=6\times 2=12\ units](https://tex.z-dn.net/?f=%5Csin%7B45%5Ctextdegree%7D%3D%5Cfrac%7BXY%7D%7BBY%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt2%7D%3D%5Cfrac%7B6%5Csqrt2%7D%7BCY%7D%5C%5C%5C%5CCY%3D6%5Csqrt2%5Ctimes%20%5Csqrt2%3D6%5Ctimes%202%3D12%5C%20units)
So,
![BC=BY+CY\\\\BC=12+6\\\\BC=18\ units](https://tex.z-dn.net/?f=BC%3DBY%2BCY%5C%5C%5C%5CBC%3D12%2B6%5C%5C%5C%5CBC%3D18%5C%20units)
Answer:
A retrospective study
Step-by-step explanation:
When you’re looking back, it’s called retrospective. He’s taking his old results and using them to map his success rate with high accuracy.
A prospective study would be to make predictions with lower accuracy of things in the future.