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Firdavs [7]
1 year 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]1 year 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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ruslelena [56]

Answer:

s = 21.33*π in

Step-by-step explanation:

Given:

- The complete data is given in the figure (attached):

Solution:

- The bugs lands on the end of the wiper blade furthest to the pivot. The arc length (s) swept by a wiper in one cycle i.e θ = 120° would be given by:

                                    s = 2*r*θ

- Where, r: The distance between the bug and the pivot = 16 in  

              θ : Angle swept in radians

- The distance travelled by the bug is s:  

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3 0
1 year ago
7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to t
Amanda [17]

Answer:

A = $18,326.00

(assuming simple interest)

Step-by-step explanation:

Assuming simple interest, the following formula applies:

final amount = (principal amount) x [1  + (annual rate)(time elapsed) ]

or

A = P (1 + rt)

in our case,

P = $7,700

r = 5.75% = 0.0575

t = 24 years

hence,

A = 7700 [ 1 + (0.0575)(24)]

A = 7700 ( 1 + 1.38)

A = 7700 x 2.38

A = $18,326.00  

4 0
1 year ago
Suppose an exponential function is fit to a set of data. Which of the following residual plots indicates that this function was
Zina [86]
The correct answer is the choice that you have selected, the third choice. 

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7 0
1 year ago
Read 2 more answers
A machine is set to fill the small-size packages of m&m candies with 56 candies per bag. a sample revealed: three bags of 56
luda_lava [24]

In statistics, the amount of degrees of freedom is the quantity of values in the final computation of a statistic that are free to differ. In this case, you can get the answer by adding the number of bags and subtracting 1.

So in computation, this would look like: 3 + 2 + 1 + 2 - 1 = 7

Therefore, 7 is the degrees of freedom.

7 0
1 year ago
Which pairs of angles in the figure below are vertical angles?
ch4aika [34]

Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".

By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

\angle ISN  and \angle TSW

\angle TSN and \angle ISW

6 0
2 years ago
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