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Ket [755]
3 years ago
13

Find the missing side lengths. All answers should be in fully simplified form. a=? b?

Mathematics
2 answers:
spayn [35]3 years ago
8 0

Answer: a= 5\sqrt{3} b= 5

Step-by-step explanation:

sin 60=a/10

\frac{\sqrt{3} }{2}=a/10

10\frac{\sqrt{3} }{2} =a

5\sqrt{3}=a

cos 60=b/10

.5=b/10

5=b

Alekssandra [29.7K]3 years ago
7 0

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6

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Answer:

2145 ft^3

Step-by-step explanation:

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3 years ago
Which number is not greater than 0.6
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2 years ago
A monkey is swinging from a tree. On each swing, she travels along an arc that is 75% as long as the previous swing's arc. The t
mr_godi [17]

Answer:

Total length of the first swing=64 m

Step-by-step explanation:

The total length of all four swings can be expressed as;

Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing

where;

Total length of all 4 swings=175 m

Length of first swing=x

Length of second swing=75% of length of first swing=(75/100)×x=0.75 x

Length of third swing=75% of length of second swing

Length of third swing=(75/100)×0.75 x=0.5625 x

Length of fourth swing=75% of length of third swing

Length of fourth swing=(75/100)×0.5625 x=0.421875 x

replacing;

Total length of all 4 swings

175=x+0.75 x+0.5625 x+0.421875 x

2.734375 x=175

x=175/2.734375

x=64

Total length of the first swing=x=64 m

3 0
3 years ago
Read 2 more answers
Sami's boss asked him to cut 78⁄5 feet of rope to tie down a load on a truck. How much rope should Sami cut? A. 151⁄5 feet B. 16
Vitek1552 [10]

how many times does 5 go into 78

78/5

it goes 15 times with  3 left over  (15*5 = 75  75+3 = 78)

15 3/5 ft

5 0
3 years ago
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Zarrin [17]

the correct answer is, B.

41

8 0
2 years ago
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