Answer:
75.95cm
Step-by-step explanation:
<u>4.9 multiplied by 15 will represent the 15</u> <u>seconds</u>
4.9 • 15 = 73.5
<u>4.9 divided by 2 will equal the 1/2 seconds</u>
4.9 ÷ 2 = 2.45
<u>add them all together</u>
73.5 + 2.45 = 75.95 cm
Area of rectangle = l*w
Area of triangle = (1/2)*l*w
Based on the figure:
Area of triangles = 2*(1/2)*l*w
= 2*(1/2)*24*14 = 336 cm^2
Area of side rectangles = 2*l*w
= 2*44*25 = 2200 cm^2
Area of bottom rectangle = l*w
= 44*14 = 616 cm^2
To find the total surface area, you would add all of the sides together:
336+2200+616= 3152 cm^2
Don’t be afraid to ask any questions, if you have any :D
Using linear combination method, the solution to given system of equations are (-7, -15)
<h3><u>Solution:</u></h3>
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated
Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.
<u><em>Given system of equations are:</em></u>
2x - y = 1 ---- eqn 1
3x - y = -6 ------ eqn 2
Subtract eqn 2 from eqn 1
2x - y = 1
3x - y = -6
(-) -------------
-x = 7
<h3>x = -7</h3>
Substitute x = -7 in eqn 1
2(-7) - y = 1
-14 - y = 1
y = -14 - 1 = -15
<h3>y = -15</h3>
Thus the solution to given system of equations are (-7, -15)
Answer:
Case 1:


Case 2:


Case 3: Not possible
Step-by-step explanation:
Given
See attachment for illustration of each case
Required
Find AB and BC
Case 1:
Using Pythagoras theorem in ANB, we have:

This gives:



Take square roots of both sides


To calculate BC, we consider ANC, where:



Collect like terms


Take square roots


So:



Case 2:
Using Pythagoras theorem in ANB, we have:

This gives:


Collect like terms


Take square roots of both sides


To calculate BC, we consider ABC, where:



Collect like terms


Take square roots


Case 3:
This is not possible because in ANC
The hypotenuse AN (24) is less than AC (40)