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daser333 [38]
2 years ago
9

A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The

foot of the ladder begins to slide at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. The location of the foot of the ladder at time t seconds is given by the parametric equations (7 +2t, 0). The location of the top of the ladder will be given by parametric equations (0, y(t)). The formula for y(t)=√[625−(7+2t)²]. The domain of t values for y(t) ranges from 0 to 9.
Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places):
a) [0,2]
b) [2,4]
c) [6,8]
d) [8,9]

Mathematics
1 answer:
lbvjy [14]2 years ago
5 0

Answer:

Step-by-step explanation:

find the attached below

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In the matrix shown, which element is A1,2?
anyanavicka [17]

Answer:

B. 2

Step-by-step explanation:

a1,1=1

a1,2=2

a1,3=3

a2,1=4

a2,2=5

a2,3=6

a3,1=7

a3,2=8

a3,3=9

8 0
2 years ago
Given: EFGH inscribed in k(O) m∠FHE = 45°, m∠EGH = 49° Find: m∠FEH
hodyreva [135]

Answer:

m

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

step 1

Find the measure of arc EF

m

we have

m

substitute

45\°=\frac{1}{2}(arc\ EF)

arc\ EF=90\°

step 2

Find the measure of arc EH

m

we have

m

substitute

49\°=\frac{1}{2}(arc\ EH)

arc\ EH=98\°

step 3

Find the measure of arc FGH

arc\ FGH=360\°-(arc\ EH+arc\ EF)

substitute the values

arc\ FGH=360\°-(98\°+90\°)

arc\ FGH=172\°

step 4

Find the measure of angle FEH

m

we have

arc\ FGH=172\°

substitute

m

7 0
2 years ago
Arthur took out a 20 year loan for $60,000 at an APR of 4.4% compounded monthly. Approximately how munch would save if he paid i
Eduardwww [97]
Monthly payments, P = {R/12*A}/{1- (1+R/12)^-12n}

Where R = APR = 4.4% = 0.044, A = Amount borrowed = $60,000, n = Time the loan will be repaid

For 20 years, n = 20 years
P1 = {0.044/12*60000}/{1- (1+0.044/12)^-12*20} = $376.36

Total amount to be paid in 20 years, A1 = 376.36*20*12 = $90,326.30

For 3 years early, n = 17 year
P2 = {0.044/12*60,000}/{1-(1+0.044/12)^-12*17} = $418.22

Total amount to be paid in 17 years, A2 = 418.22*17*12 = $85,316.98

The saving when the loan is paid off 3 year early = A1-A2 = 90,326.30 - 85,316.98 = $5,009.32

Therefore, the approximate amount of savings is A. $4,516.32. This value is lower than the one calculated since the time of repaying the loan does not change. After 17 years, the borrower only clears the remaining amount of the principle amount.
8 0
2 years ago
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Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are
tekilochka [14]
I think the answer is 1,600 totals students taking metaphysics
7 0
2 years ago
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A boy lost 55% of his pocket money.if he had 67½kobo left,how much was his pocket money?​
Charra [1.4K]

Answer:

100 kobo

Step-by-step explanation:

100%-55%=45%                                                                                                       45%=67 and 1/2                    what about                                                                100%=?                                                                                                                      You cross multiply=  <u>100%× 67</u><u>1/2</u>

                                     45%                                                                                   =                           =  <u>100%× 135 ×1 </u>                                                                            =                                          2      45%                                                                         =                           = 50× 2 = 100                                                                           100 ÷2=50                                                                                                             135÷45=2                                                                                                                % cancelled %                                                                                                         So the final answer =    100

3 0
2 years ago
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