Honestly anna made a scale drawing, in inches, of a building using a scale of 1:600. her scale drawing was 6 inches long. Greg made a scale drawing of the same building using a scale of 1:300. how long, in inches, was greg’s scale drawing.
Answer:
9
Step-by-step explanation:
The length of the paper , x, can be obtained using Pythagoras :
Width = 12 ; length = 15
x² = 15² - 12²
x² = 225 - 144
x² = 81
x = sqrt(81)
x = 9
Hence, length of the paper = 9 inches
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
<em>70%</em>
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Step-by-step explanation:
Given
Number of Siblings: || 0 || 1 || 2 || 3
Number of Students: || 4 || 18 || 10 || 8
Required
Determine the probability of a student having at least one but not more than 2 siblings
First, we have to determine the total number of 10th grade students


The probability of a student having at least one but not more than 2 siblings = P(1) + P(2)
Solving for P(1)
P(1) = number of students with 1 sibling / total number of students
From the given parameters, we have that:
Number of students with 1 sibling = 18
So:

Solving for P(2)
P(2) = number of students with 2 siblings / total number of students
From the given parameters, we have that:
Number of students with 2 siblings = 10
So:


Take LCM


Divide numerator and denominator by 4


Convert to percentage

<em>Hence, the required probability is 70%</em>
First, set the second equation with y as the isolated variable. To do this, subtract 4 from both sides to get

Now that you know the value of y, put that expression in for y in the first equation to get

Then, simplify by adding the x terms together to get

add 4 on both sides to isolate the x terms to get

then divide 6 from both sides to get

Using that x value, plug it into one of the equations as x to find y ( I will use y=3x-4)

x=1 and y=-1 is the answer