Given Info: "The dashed triangle is the image of the solid triangle"
So the "before" is the large solid triangle and the "after" is the smaller dashed triangle.
The horizontal side of the solid triangle is 15 units. The corresponding side for the dashed triangle is 3 units. Dividing the two values gives: 3/15 = 1/5 = 0.2
Make this value negative. The reason why is due to the fact that we have a sort of reflection going on as we're scaling down the figure.
So the final answer is -0.2
Answer:
% change in stopping distance = 7.34 %
Step-by-step explanation:
The stooping distance is given by
We will approximate this distance using the relation
dx = 26 - 25 = 1
T' = 2.5 + x
Therefore
This is the stopping distance at x = 25
Put x = 25 in above equation
2.5 × (25) + 0.5× 
+ 2.5 + 25 = 402.5 ft
Stopping distance at x = 25
T(25) = 2.5 × (25) + 0.5 ×
T(25) = 375 ft
Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft
% change in stopping distance = 
× 100
% change in stopping distance = 7.34 %
Answer:
Step-by-step explanation:
prob(grow) = .65
prob(not grow) = .35
prob(1 of 11 will not grow)
= C(11,1)(.35)(.65)^10
= .05183
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Answer: 24 and 76
Step-by-step explanation:
{
d
+
q
=
100
10
d
+
25
q
=
2140
From the first equation, we have
d
=
100
−
q
Substituting that into the second equation, we have
10
(
100
−
q
)
+
25
q
=
2140
⇒
1000
−
10
q
+
25
q
=
2140
⇒
15
q
=
1140
⇒
q
=
1140
15
=
76
Knowing that
q
=
76
we can substitute that value into the first equation to obtain
d
+
76
=
100
∴
d
=
24
Thus, Sue has
24
dimes and
76
quarters.
