Remark
The basic equation is y = mx + b
y = the total amount of money
m = The amount of money he save each month (it is a constant).
b = the y intercept which is his starting amount or 120 dollars.
x = the number of months (this is a variable).
After 3 months he has 840 dollars. That's y
840 = 3*m + 120 Subtract 120 from both sides
840 - 120 = 3m
720 = 3m
240 = m So he saves 240 every month.
Now the equation becomes.
y = 240 * x + 120
Savings after 24 months
y = Total
m = 240 dollars/month
x = 24 months
b = 120
y = 24*240 + 120
y = 5760 + 120
y = 5580
He had 5580 dollars after saving for 2 years (or 24 months total) This assumes that when he started, he took his birthday money and added a 1 month payment to it
Answer:
In the given figure the sides of triangle measures as follows:
AB= 4 units,
BC= 6 units,
Since triangle ABC is right angled triangle, to find AC we will have to use Pythagorean theorem,
AB² + BC² = AC²
Plugging the values of AB and BC to find AC,
4² + 6² = AC²
16+36=AC²
AC = 7.48
Now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle A'B'C'
side A'B' = 2* AB = 2*4= 8 units
side B'C' = 2* BC = 2*6 =12 units
side A'C' = 2*AC = 2*7.48 = 14.96 units
Perimeter of triangle = sum of three sides
Perimeter of triangle A'B'C' = A'B' + B'C' + A'C'= 8+12 + 14.96 = 34.96 units.
Perimeter of triangle ABC = AB+BC + AC = 4+6+7.48 = 17.48 units.
Perimeter of triangle A'B'C' = 2* Perimeter of triangle ABC
The perimeter of new triangle A'B'C' is 34.96 units which is twice that of triangle ABC.
Answer : A) The perimeter of A'B'C' is 2 times the perimeter of ABC.
Answer: 121.836
Step-by-step explanation: So the first thing you need to do is:
31.24
x3.90 you need to put the zero there because the decimal points would need to match up.
_____
Once you do that just put the decimal down. Like this:
31.24
x3.90
____ Once you do that just ignore the decimal and multiply.
.
Once you have finished, the answer should be 121.836.
Hope I Helped!
:)
Answer:
<h3>The answer is 68,486.58 g</h3>
Step-by-step explanation:
The mass of a substance when given the density and volume can be found by using the formula
<h3>mass = Density × volume</h3>
From the question
volume of granite monument =
25,365.4 cm³
density = 2.7 g/cm³
The mass of the granite monument is
mass = 25,365.4 × 2.7
We have the final answer as
<h3>68,486.58 g</h3>
Hope this helps you
Answer :Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
Step-by-step explanation:
Considering the quadrilateral with vertices
d(0,0)
i(5,5)
n(8,4)
g(7,1)
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
From the figure a, it is clear that the quadrilateral has
Two pairs of sides
Each pair having two equal-length sides which are adjacent
The angles being equal where the two pairs meet
Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half
Please check the attached figure a.
