There are 16 ounces in a pound
62/16 = 3 pounds 14 ounces
Hope this helps!
Answer:
The product of two fractions can be calculated as follows:
![\frac{a}{b}\cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%5Ccdot%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7Ba%20%5Ccdot%20c%7D%7Bb%20%5Ccdot%20d%7D)
So, the numerator is the product of the numerators of the two fractions, and the denominator is the product of the denominators of the two fractions.
In this problem, we know that the product is 6/40, so:
![ac = 6\\bd = 40](https://tex.z-dn.net/?f=ac%20%3D%206%5C%5Cbd%20%3D%2040)
This means:
![c=\frac{6}{a}\\d=\frac{40}{b}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B6%7D%7Ba%7D%5C%5Cd%3D%5Cfrac%7B40%7D%7Bb%7D)
So we just need to find 2 pairs of numbers a, b to make c and d integers.
The first choice we use is:
a = 3
b = 2
So we get:
![c=\frac{6}{3}=2\\d=\frac{40}{2}=20](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B6%7D%7B3%7D%3D2%5C%5Cd%3D%5Cfrac%7B40%7D%7B2%7D%3D20)
So the first pair of fractions is
The second choice we use is:
a = 2
b = 10
So we get:
![c=\frac{6}{2}=3\\d=\frac{40}{10}=4](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B6%7D%7B2%7D%3D3%5C%5Cd%3D%5Cfrac%7B40%7D%7B10%7D%3D4)
So the second pair of fractions is
![\frac{2}{10},\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D%2C%5Cfrac%7B3%7D%7B4%7D)
We can use the law of sines, which relates the angles and sides of a triangle.
The formula is:
![\frac{sinA}{a}= \frac{sinB}{b}= \frac{sinC}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7BsinA%7D%7Ba%7D%3D%20%5Cfrac%7BsinB%7D%7Bb%7D%3D%20%5Cfrac%7BsinC%7D%7Bc%7D%20%20%20)
,
where A, B, and C are angles and a, b, c are side lengths.
Let's find the missing angle. The interior angles of a triangle add up to 180 degrees, so the missing angle is 180-70-40 = 70 degrees.
Let's make a proportion and use the two 70 degrees angles and their opposite lengths. Since both sides have the same numerator of 70 degrees, we can equate the denominators together.
Answer:
y= -0.5x-8
Step-by-step explanation:
First, use two points to find slope. I'm using (0,-8) and (-4, -6)
Then, plug in values in slope formula: -6-(-8)/-4-0
This will simplify to -0.5. So, slope is -0.5.
Look closely, and you will find that line intersects y-axis at (0,-8). SO y-intercept is -8.
Put equation together and you get y=-0.5x-8.
Hope it helped.
Answer:
A.) 64°
B) 116°
C.) 32°
Step-by-step explanation:
Given that ΔDEG and ΔEGF are isosceles ;
∠EDG = 64º
Therefore ∠EDG = ∠DGE = 64º (Base Angle of an isosceles triangle are equal)
B.) ∠EGF + ∠DGE =180° (SUM OF ∠s on a straight line)
∠EGF + 64° = 180°
∠EGF = (180 - 64) = 116°
C.) x° = ∠EDG (BASE angles of an isosceles triangle are the same)
2x° + 116° = 180° (sum of angles in a triangle)
2x = 64°
x = 32°