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Firdavs [7]
2 years ago
9

In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.

Mathematics
1 answer:
tresset_1 [31]2 years ago
5 0

Answer:

f=127 cm

Step-by-step explanation:

Law of Cosine:

x squared=92 squared+42 squared-2(92)(42)(cos 141)

x squared =8464+1764-7728(cos 141)

x=127 cm

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I also need help with this problem.
nadezda [96]

We will use substitution to solve this system of linear equations, as the first equation has x and y with no coefficients, which makes it easier to find one in terms of the other. We can then substitute that value in the other equation and find the values of x and y.

x = y + 5 ---> equation 1

3x + 2y = 5 ---> equation 2

From equation 1, we get the value of x as y + 5. Using the substitution method, we can find the value of y by substituting (y+5) for x in the 2nd equation.

3(y+5) + 2y = 5

3y + 15 + 2y = 5

5y = 5 - 15

5y = -10

y = -2

Subsituting this value of y in (y+5), we can find x.

x = y + 5

x = -2 + 5

x = 3

Therefore, x = 3 and y = -2.

I will also solve this using elimination method.

Let us multiply equation 1 by 2, so that we get 2y in both equations.

2x = 2y + 10

3x + 2y = 5

Let us add both the equations.

2x + 3x + 2y = 5 + 2y + 10

5x = 15 + 2y - 2y

5x = 15

x = 3

Substituting this value of x in equation 1, we get

x = y + 5

3 = y + 5

y = 3 - 5

y = -2

Therefore, x = 3 and y = -2.

7 0
2 years ago
Sales tax on a $400 stereo is $16. What is the tax on a $650 TV?
azamat

The reason being is that we need to find it out of 100. So, we divide 400 by 4 and because we did that to the denominator we have to do it to the numerator so 16 divided by 4 is well 4. So we found out that is 4/100 we just divide that by 650 and we get 26.


TL;DR it’s $26

7 0
2 years ago
Romeo paid $380.75 in car repairs. The sales Tax rate is 7.5% . Which of the following is a responsible estimate for the total R
rusak2 [61]

Answer: $380.75x0.075=28.55625

28.55625+380.75=409.30625

$409.30625~$409.31

Answer: $409.31

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the percent of increase in the rent for Bob's apartment if it went from $560 to $616?
son4ous [18]

This is a two step problem. First, you need to find the difference (or increase) in the rent using subtraction.

616-560 = $56 increase

Now we need to figure what percent 56 is to the original amount (560)

We voice it like this:

56 is to 560 as x is to 100.

The equation looks like this:

56/560 - x/100

Cross multiply to cancel out the denominators.

56 x 100 = 560 x

5600 = 560 x

x = 10 percent.

Check it!

What is 10 percent of 560?

560 x .1 = $56

Was that your increase? ... yes.

5 0
2 years ago
Read 2 more answers
Liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
sergeinik [125]

Answer:

£12.25

Step-by-step explanation:

Using unit rate:

\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}

£12.25 should be the correct answer.

6 0
2 years ago
Read 2 more answers
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