Answer:
The volume of a bar of gold with a mass of 66.5 grams is
Step-by-step explanation:
Given , mass(in grams) ∝ Volume (in cm3)
Here, volume of 95 grams bar = 5cm3
So, thevolume of 1 gram bar = =
⇒The volume of a bar with weight 66.5 grams =
So, the volume of a bar of gold with a mass of 66.5 grams is
We have three pythagoras:
4² + y² = z²
16² + y² = x²
x² + z² = 20²
Now let's think:
4² + y² = z²
y² = z² - 4²
16² + y² = x²
16² + z² - 4² = x²
x² + z² = 20²
16² + z²- 4² + z² = 20²
2z² = 20² - 16² + 4²
2z² = (2.10)² - (2^4)² + (2²)²
2z² = 2².10² - 2^8 + 2^4
z² = 2.10² - 2^7 + 2^3
z² = 200 - 128 + 8
z² = 208 - 128
z² = 80
z = √80
80 | 2
40 | 2
20 | 2
10 | 2
5 | 5
1
80 = 5.2^4
So
√80 = 4√5
z = 4√5
Answer:
15mph
Step-by-step explanation:
So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15
So congratulations you can ride 15 miles per hour :)
3x - 4y = 7
-4y = -3x + 7
y = 3/4x - 7/4.....the slope here is 3/4. A parallel line will have the same slope.
y - y1 = m(x - x1)
slope(m) = 3/4
(-4,-2)....x1 = -4 and y1 = -2
now we sub
y - (-2) = 3/4(x - (-4) =
y + 2 = 3/4(x + 4) <=== this is one
y + 2 = 3/4(x + 4)
y + 2 = 3/4x + 3
y = 3/4x + 3 - 2
y = 3/4x + 1
-3/4x + y = 1
3x - 4y = -4 <==== this is one
Let us assume the width of the rectangle = x
Then
The length of the rectangle = 2x
The perimeter of the rectangle = 24 inches
We know the formula of the perimeter of a rectangle is
Perimeter = 2 (length + Breadth)
24 = 2 (2x + x)
24 = 2 * 3x
24 = 6x
x = 24/6
= 4
So the width of the rectangle = 4 inches
length of the rectangle = 2x
= 2 * 4 inches
= 8 inches
Now
The Area of the rectangle = Width * Length
= 4 * 8 inches^2
= 32 inches ^2
So the area of the rectangle is 32 square inches. I hope i have helped you.