Answer:
6 benches are needed
Step-by-step explanation:
3/4= 6/8
1/8 goes into 6/8, 6 times so,
6 benches are needed on the 3/4 mile trail
Answer:
Is important to remember that the reflection of the point (a,b) across the y-axis is the point (-a,b).
Our original equation is 
And after the reflection respect x we got:
Step-by-step explanation:
Is important to remember that the reflection of the point (a,b) across the y-axis is the point (-a,b).
Our original equation is
And after the reflection respect x we got:
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Step-by-step explanation:
Let Andrew wage be = X
Cammi earns $20 more than Andrew So Cammi earns = 20 + X
Brenda earns $30 less than twice Andrew's wage
So she earns = 2X - 30
Their total combanied wage is $400
So Andrew + Cammi + Brenda = $400
X + 20+X + 2X-30 =400
4X - 10 =400
4X=400+10
4X=410
X= $102.5
So Andrew earns $102.5
Cammi earns $122.5
Brenda earns $175
If the diagonal is 32 than you will us
A^2 + b^2 = c^2
We will use the aspect ratio to find a common variable
4A = 3B
a = (3/4)B now plug it in
((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)
Now solve for B
B turns out to be 25.577 inches
Plug B in
A = (3/4)(25.577)
A = 19.18
Now add up ther perimeter A + A + B + B
19.18 + 19.18 + 25.577 + 25.577
89.6 inches
