<h3>
Answers: </h3>
Width = 10 feet
Length = 40 feet
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Explanation:
W = width
L = 4W = four times the width = length
P = perimeter
P = 2*(W+L)
P = 2*(W+4W)
P = 2(5W)
P = 10W
The perimeter is 100 feet.
P = 100
10W = 100 .... plug in P = 10W
W = 100/10 .... divide both sides by 10
W = 10
The width is 10 feet.
L = 4W
L = 4*10
L = 40
The length is 40 feet.
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Check:
P = 2(L+W)
P = 2(40+10)
P = 2(50)
P = 100
or another way to check is to add up the four sides {10, 40, 10, 40}
10+40+10+40 = 50+50 = 100
This confirms the answer.
Answer: the population of the culture 6 days after inoculation is 2313.
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the population after t days.
t represents the number of days.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 1000
r = 15% = 15/100 = 0.15
t = 6 days
Therefore
y = 1000(1 + 0.15)^6
y = 1000(1.15)^6
y = 2313
Step-by-step explanation:
the answer is in the above image
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
brainly.com/question/28021872
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Answer:
$18.70
Step-by-step explanation:
