Answer:
36 blocks.
Step-by-step explanation:
We have been given that Mikaela travels 15 blocks on her skateboard in 5 minutes. We are asked to find the number of blocks that she can travel on her skateboard in 12 minutes.
We will use proportions to solve our given problem.
Therefore, Mikaela will travel 36 blocks on her skateboard in 12 minutes.
Answer:
These two figures are similar because equals
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is , and for the bigger figure the ratio is
which upon simplification reduces to
.
So we see that the ratios are equal. Thus the figures are similar.
Answer:
Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces
step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height
step 3
Find the area of the base of the rectangular prism
step 4
Find the surface area
Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line