Answer:
22 degrees is the answer
Step-by-step explanation:
Answer:
= −31/4
(Decimal: -7.75)
Step-by-step explanation:
Alloy #13 contains 7% gold, if means that if we need 2.7kg of this alloy, we will have to use a certain amount of gold. Multiply the percent of gold times the mass of alloy to find how much gold we need:
It means that we need 0.189kg of gold.
The alloy we have contains 21% of gold. That means that for every 100kg of alloy there are 21kg of gold, use this ratio to find the mass of alloy we need:
It means that we need 0.9kg of that alloy.
To find how much magic steel we need, we just have to substract this mass from the mass of Alloy #13:
It means that we need 1.8kg of magic steel.
The answer is: The dwarves need 1.8 kg of magic steel and 0.9 kg of their alloy in order to get 2.7 kg of Dragon Alloy #13.
Answer:
(a) 7.1
(b) (5/2, 3/2)
(c) 2
(d) y = -x +4
Step-by-step explanation:
<h3>(a)</h3>
The length of AC is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -(-2))² +(-1 -0)²) = √(49 +1) = 5√2 ≈ 7.1
The length of AC is about 7.1.
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<h3>(b)</h3>
The midpoint has coordinates that are the average of the end point coordinates.
midpoint BC = (B + C)/2 = ((0, 4) +(5, -1))/2 = (5, 3)/2
midpoint BC = (5/2, 3/2)
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<h3>(c)</h3>
The slope is found using the slope formula.
m = (y2 -y1)/(x2 -x1)
For points A(-2, 0) and B(0, 4), the slope of the segment between them is ...
m = (4 -0)/(0 -(-2)) = 4/2 = 2
The slope of AB is 2.
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<h3>(d)</h3>
The slope of line BC is found in the same was as for AB.
m = (-1 -4)/(5 -0) = -5/5 = -1
The y-intercept of the line is point B, at y=4. So, the equation of line BC is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
y = -x +4
Answer:
-3/2, 1.25, |-9/4|, 2.5, 121
Step-by-step explanation:
Convert all numbers to a decimal
-3/2 = -1.5
|-9/4| = 2.25
2.5 = 2.5
121 = 121.0
1.25 = 1.25
Now put them in order from least to greatest.
-3/2, 1.25, |-9/4|, 2.5, 121
