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maw [93]
3 years ago
10

The luggage allowance on the flight is 20 kg per person.

Mathematics
2 answers:
Temka [501]3 years ago
8 0
.95
1.4
3.125
.6
8.580

Total Weight = 14.655kg
Zigmanuir [339]3 years ago
6 0

Answer

Find out the What is the total weight of the items already packed .

To prove

As given

The luggage allowance on the flight is 20 kg per person.

The list of the weights of some items already packed in one of the suitcases.

Toothbrush - 95 g\ ,Toiletries - 1.4 kg\ ,Shoes = 3\frac{1}{8}\ ,Beach towel - 0.6 kg

Clothes - 8580 g

As\ 1g=\frac{1}{1000}\ kg

Now convert 95 g  

95g=\frac{95}{1000}\ kg

             = 0.095 kg

Thus Toothbrush weight  = 0.095 kg

Now convert 8580 g  

8580g=\frac{8580}{1000}\ kg

             = 8.58 kg

Thus clothes weight  = 8.58 kg

Now

Shoes\ weight = 3 \frac{1}{8}\ kg

Shoes\ weight=\frac{25}{8}\ kg

Shoes weight = 3.125 kg (approx)

Thus

Total weight of the items = Toothbrush weight + clothes weight + Toiletries weight + Beach towel weight + Shoes weight

                                         =  0.095 kg + 8.58 kg +  1.4 kg + 0.6 kg + 3.125kg

                                         = 13.8 kg

Therefore  the total weight of the items already packed is 13.8 kg .


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SIZIF [17.4K]
Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

-------------------------------------------------------------
-------------------------------------------------------------

Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

-----------------------

First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

-----------------------

We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

-----------------------

Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

4 0
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Read 2 more answers
Is this triangle congruent by
Alenkasestr [34]

Answer:

SAS

Step-by-step explanation:

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