Answer:
∠ 2 = 70°
Step-by-step explanation:
110° and ∠ 1 are corresponding angles and congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
Hi There!
Dori leaves her house at 12pm.
50 steps per minute until 12:20pm.
Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,
12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps
Malory leaves her house at 12:20pm.
Walks 90 steps per minute.
12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900
Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500
500 + 1000 = 1500
Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900
900 + 900 = 1800
Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500
1750 + 500 = 2250
Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900
450 + 1800 = 2250
Answer: they have the same number steps at 12:45 p.m.
Hope This Helps :)
Answer:6√3
Explanation:Before we begin, remember the following:Now, for the given:75 can be written as 25*3
This means that:
Applying the above concept, we can find that:
Now, we know that:
√25 = 5 (we ignored the negative value)
This means that:
√75 = 5√3
Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3
Hope this helps :)
Answer:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, , where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.
Answer:
P(t) = 12e^1.3863k
Step-by-step explanation:
The general exponential equation is represented as;
P(t) = P0e^kt
P(t) is the population of the mice after t years
k is the constant
P0 is the initial population of the mice
t is the time in months
If after one month there are 48 population, then;
P(1) = P0e^k(1)
48 = P0e^k ...... 1
Also if after 2 months there are "192" mice, then;
192 = P0e^2k.... 2
Divide equation 2 by 1;
192/48 = P0e^2k/P0e^k
4 = e^2k-k
4 = e^k
Apply ln to both sides
ln4 = lne^k
k = ln4
k = 1.3863
Substitute e^k into equation 1 to get P0
From 1, 48 = P0e^k
48 = 4P0
P0 = 48/4
P0 = 12
Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;
P(t) = 12e^1.3863k
This gives the equation representing the scenario