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sergey [27]
3 years ago
12

Evaluate the value of x to 1 d.p Thank you

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

{a}^{2}  =  {b}^{2}  +  {c}^{2}   - 2 \times b \times c \times cos(100) \\  {x}^{2}  =  {13}^{2}  +  {10}^{2}  - (2 \times 13 \times 10 \times cos100) \\  = 169 + 100 - 260 \times 0.862 \\  = 269 - 260 \times 0.862 \\  = 7.758 \\x =  \sqrt{7.758 }  \\  = 2.785 \\  = approx \: 2.8

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3 years ago
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kari74 [83]

Answer:

C) 42.14 cm²

Step-by-step explanation:

<u>Recall the area formulas for a square and circle:</u>

Area of square: A=s²

Area of circle: A=πr²

<u>Given:</u>

π=3.14

s=14

r=s/2=14/2=7

Therefore, the area of the square is A=14²=196 cm²

The area of the two semicircles is A=3.14(7)²=3.14(49)=153.86 cm²

Find the difference between the two areas to get the shaded area:

196 - 153.86 = 42.14

Therefore, the shaded area is 42.14 cm², making C the correct choice.

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jenyasd209 [6]
A 1/4; just reduce 4/16
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Effectus [21]

Answer:

y=-2

Step-by-step explanation:

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