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Serhud [2]
3 years ago
10

Select the correct answer from the drop-down menu.

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

40.2

Step-by-step explanation:

law of cosines

x^2=40^2+28^2-2*28*40*cos(70)

put in calculator and square root the answer

40.222.... is approximately 40.2

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3. The math department needs to buy new textbooks and laptops for their
Alenkasestr [34]

Let they be x.

Cost of textbooks + laptops cant greater than total amount.

(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500

(30*116) + (x*439) ≤ 6500

3480 + 439x ≤ 6500

439x ≤ 3020

x ≤ 6.8(approx)

Last natural number is 6, says, they can buy 6 laptops at max.

3 0
4 years ago
Plese help me guys !!
Westkost [7]

Answer:option d.

hope it helps you.

3 0
3 years ago
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3t – 2(t – 1) ≥ 5t – 4(2 + t) please help ill give the crown thingy to the first person who gives me an answer
LiRa [457]

Answer:

Infinite many solutions

Meaning there is more than one solution

Hope this helps!

Let me know if this is right.

8 0
3 years ago
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The duration of 5700 years is referred to as the "half-life" of carbon-14 because the amount of carbon-14 drops in half 5700 yea
alexira [117]

Answer:

Step-by-step explanation:

Given:

Carbon-14

t1/2 = 5700 years

t1 = 11400 years

t2 = 17100 years

N(t) = No(1/2)^(t/t1/2)

Where,

N(t) = amount of carbon left at time, t

No = initial amount of carbon

t = time taken

t1/2 = half life

Assume No = 1

N(11400) = 1 × (1/2)^(11400/5700)

= (1/2)^2

= 1/4

N(17100) = 1 × (1/2)^(17100/5700)

= (1/2)^3

= 1/8

From the fractions got from N(11400) and N(17100), 1/4 and 1/8 we can see a decrease in the initial amount of carbon by 1/2.

B.

t1/2 = 80000 years

N(t) = No × (1/2)^(t/80000)

Assume No = 1

N(t) = 1 × (1/2)^(t/80000)

7 0
3 years ago
If Jane invests $1500 in a savings account with a 6% interest rate compounded monthly, how long will it take until Jane's amount
Stella [2.4K]

Answer:

t = 20.772

Step-by-step explanation:

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(5,200.00/1,500.00) / ( 12 × [ln(1 + 0.06/12)] )

t = ln(5,200.00/1,500.00) / ( 12 × [ln(1 + 0.005)] )

t = 20.772 years

8 0
2 years ago
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