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lys-0071 [83]
3 years ago
10

For Tran thank you appreciate it

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Step-by-step explanation:

Let alpha be the unknown angle. We can set up our sine law as follows:

\frac{ \sin( \alpha ) }{5 \: m}  =  \frac{ \sin(42) }{3.6 \: m }

or

\sin( \alpha )  =  \frac{5 \: m}{3.6 \: m} \times  \sin(42)  = 0.929

Solving for alpha,

\alpha  = arcsin(0.929) = 68 \: degrees

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The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
mars1129 [50]

Answer:

20.33%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP
Tems11 [23]

QUESTION A

The given multiplication problem is

\frac{39}{64} \times \frac{8}{13}

Factor each term to obtain;

\frac{13\times 3}{8\times8} \times \frac{8}{13}

Cancel out the common factors to obtain;

\frac{1\times 3}{8\times1} \times \frac{1}{1}

Simplify to get;

\frac{3}{8}

QUESTION B

The given multiplication problem is

\frac{2}{3}\times \frac{1}{5}\times \frac{4}{7}

This the same as

\frac{2\times 1\times 4}{3\times 5\times 7}

This simplifies to;

\frac{8}{105}

QUESTION C

The given problem is

\frac{3}{5}\times \frac{10}{12} \times \frac{1}{2}

This is the same as

\frac{3}{5}\times \frac{5}{6} \times \frac{1}{2}

=\frac{1}{1}\times \frac{1}{2} \times \frac{1}{2}

This simplifies to

=\frac{1}{4}

QUESTION D.

The given expression is

\frac{4}{9}\times 54

Factor the 54 to obtain;

\frac{4}{9}\times 9\times 6

Cancel the common factors to get;

\frac{4}{1}\times 1\times 6

This simplifies to;

=24

QUESTION E

The given problem is

20\times 3\frac{1}{5}

Convert the mixed numbers to improper fraction to obtain;

=20\times \frac{16}{5}

=4\times5 \times \frac{16}{5}

Cancel the common factors to get;

=4\times1 \times \frac{16}{1}

=64

QUESTION F

The multiplication problem is

11 \times 2 \frac{7}{11}

Convert the mixed numbers to improper fractions to obtain;

11 \times \frac{29}{11}

Cancel out the common factors to get;

=1 \times \frac{29}{1}

Simplify;

=29

QUESTION G

The given problem is

5\frac{1}{3}\times 5\frac{1}{8}

Convert to improper fractions;

=\frac{16}{3}\times \frac{41}{8}

Cancel out the common factors to get;

=\frac{2}{3}\times \frac{41}{1}

=\frac{82}{3}

Convert back to mixed numbers

=27\frac{1}{3}

QUESTION H

The given expression is

10\frac{2}{3} \times 1\frac{3}{8}

Convert to improper fraction to get;

\frac{32}{3} \times \frac{11}{8}

Cancel common factors to get;

=\frac{4}{3} \times \frac{11}{1}

Simplify

=\frac{44}{3}

Convert back to mixed numbers;

=14\frac{2}{3}

7 0
3 years ago
Matt Kaminsky bought a Volvo that is 33∕4 times as expensive as the car his parents bought. If his parents paid $8,000 for their
Mashutka [201]

33/4 is the same as 8 1/4

so that means that matt bought the Volvo for 8 1/4 times as much as the car his parents bought.

therefore... 8,000 times 8.25 = 66,000

8 0
3 years ago
Read 2 more answers
Find the area and perimeter of each composite figure use 3.14 for pi round your answer to the nearest 10th
Ad libitum [116K]

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

  Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

   Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

   Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

 Volume = 2*7*9 = 126 cubic cm

6. surface area = <span>2*(11*11+11*11+11*11) = 726 mm</span>

<span>  Volume = 11 *11*11 = 1331 cubic cm</span>


7 0
3 years ago
Please help me thank you so much have a great day and also be nice to others and especially yourself
ioda
8 inches because 80/10=8
6 0
3 years ago
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