For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Answer:
1.) Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.
2.) Batch B uses 1 cup of chocolate chips per 1 dozen cookies.
Step-by-step explanation:
To calculate the unit rate for each batch, set up a ratio of cups of chocolate chips to dozens of cookies for each batch and simplify.
Batch A and Batch C both have a unit rate of 0.5 cups of chocolate chips per 1 dozen cookies. Batch B has a unit rate of 1 cup of chocolate chips per 1 dozen cookies.
So, the true statements would be Batch A and Batch C have the same number of chocolate chips per cookie, Batch B uses 1 cup of chocolate chips per 1 dozen cookies, and Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.
Answer:
see the explanation
Step-by-step explanation:
we know that
<u><em>Alternate Exterior Angles</em></u> are created where a transversal crosses two lines. Notice that the two alternate exterior angles are equal in measure if the two lines are parallel
In this problem
----> by alternate exterior angles
One way to verify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles
For this case we have that the figure shown is composed of three triangles and a square. By definition, the area of a triangle is given by:
Where:
b: It's the base
h: It's the height
We have 3 triangles, then the sum of their areas will be:
On the other hand, the area of a square is given by:
Where:
l: It's the side of the square
According to the figure we have:
So, the total area is:
Answer:
Answer:
x^3+9x^2-6x-54=0
Step-by-step explanation:
or, x^2(x+9)-6(x+9)=0
or,(x+9)(x^2-6)=0
Either
x+9=0
x=-9
Or
x^2-6=0
x^2=6
x=-9,x^2 =6
