We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
6 hours
Step-by-step explanation:
Let
x----> the number of hours worked at the donut shop
y----> the number of hours worked at the school bookstore
we know that
x+y=20
x=20-y -----> equation A
10.25x+8.75y=196 -----> equation B
Substitute equation A in equation B and solve for y
10.25(20-y)+8.75y=196
205-10.25y+8.75y=196
10.25y-8.75y=205-196
1.5y=9
y=6 hours at the school bookstore
To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
Answer:
{-8,28}
Step-by-step explanation:
|10-x|=18
The absolute value has two solutions, one positive and one negative.
10-x = 18 and 10-x = -18
Subtract 10 from each side
10-10-x = 18-10 10-10-x=-18-10
-x = 8 -x = -28
Multiply each side by -1
x = -8 x = 28
Answer:
225 + 63n for n- a natural number,
set 512=225+63n to find total number of weeks
63=21*3
use n=4 to solve the amount saved in 4 weeks
they wont 60*4=240, 240+12, 252+225=477
how much are the saving a day
what do they need to put up to have enough in 4 weeks
how much a day do the need to save to go in 1 week
etc
Step-by-step explanation:
