Answer:
Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.
Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ
Hence, if we find the ratio of this, we can use it to find the side <em>h</em>
<em>QZ/ST=PZ/RT</em>
<em>48/12=PZ/4</em>
<em>PZ/4=48/12</em>
<em>(PZ/4)3=48/12</em>
<em>PZ(3)/12=48/12</em>
<em>48/3=16</em>
16=PZ.
3Step-by-step explanation:
1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or
8:32.
2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
11x= 572 [tex]
x =
52 [tex] \frac{miles}{hour} [tex]
3) Which typing time is fastest? I answered this earlier, refer to it please refer to it:
brainly.com/question/2560190
Answer:
First you can just flip the line on point C to make a 90 degree angle. That's the simple way.
Other way is to get the slope of AB let's say ex : -1/2
We need to get the slope of C to be a reversed reciprocal of -1/2. So, 2.
Basically I flipped -1/2 in to -2/1 then removed the negative sign for 2.
:)
Hope that makes sense to ya
Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
