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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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Rahm used a payment plan to purchase wood for a home project. The wood he bought cost $500. The clerk at the store offered him t
faust18 [17]

Answer: 210

Step-by-step explanation:

55×12=660-500=160+50(down payment)=210

5 0
2 years ago
Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 6.
Temka [501]

Answer:

The probability of getting  sum of two dice is less than six

P(E) =0.25

Step-by-step explanation:

<u><em>Step(i):-</em></u>

The total number of cases n(S) = 6² = 36

Let 'E' be the event of getting  sum of two dice is less than six

{(1,2) , (1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)}

n(E) =9

<u><em>Step(ii):-</em></u>

The probability of getting  sum of two dice is less than six

P(E) = \frac{n(E)}{n(S)}

P(E) = \frac{9}{36} = \frac{1}{4}

P(E) = 0.25

6 0
2 years ago
Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

\dfrac{1850}{400.73}=4.61657

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0
2 years ago
The slope of diagonal OA is ? and its equation is ?
Nimfa-mama [501]

Answer:

Slope = \frac{4}{3}

Equation of the line → y=\frac{4}{3}x

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = \frac{4-0}{3-0}

m = \frac{4}{3}

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

y=\frac{4}{3}x

3 0
2 years ago
Four boxes are shown in order from the largest volume to the smallest volume. For each box, all of the dimensions are 3.5cm less
Sauron [17]

Answer:

C

Step-by-step explanation:

It would be -12 to go to the last cube so u subtract 12 from every number then multiply the numbers

6 0
2 years ago
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