Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
To compare units either of them have to change to be the same unit
either change inches to yards, or yards to inches.
1 yard is 36 inches, so
3 yards = 3 × 36 = 108 in
100 in < 108 in
3 yards is greater.
Answer:
$2500
Step-by-step explanation:
First, multiply the $15 for the 150 people attending, to get 2250. Next, add the last $250 to get a total cost of $2500
Hopefully this helps- let me know if you have any questions!
Answer:
Slope = 1/3
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for slope M of equation of line</em>
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
<em>Step 3: Solve the system of equations in step 2 for M</em>
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
Answer:
The answer is one.
Step-by-step explanation:
I'm not exactly sure if I'm right , so sorry, if it's wrong
