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2 years ago

To get from the stone to the tree you must avoid walking through a pond. To avoid the pond, you must walk 34 yards north

Mathematics

1 answer:

AlexFokin [52]2 years ago

7 0

Answer:

Rounded, 22 yards.

Step-by-step explanation:

The pythagorean theorem states: a^2 + b^2 = c^2

a = 34, squared = 1156

b = 41, squared = 1681

Add those to get 2837.

√2837 = 53.26, rounded.

34 + 41 = 75

75 - 53 = 22

22 yards is your answer.

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If a =5 and b=3 what is the value of the 2a-3b+3a

34kurt

Answer:

If a = 5 and b = 3, then that means 2a - 3b + 3a = 16

Step-by-step explanation:

2a - 3b + 3a

(2×5) - (3×3) + (3×5)

10 - 9 + 15 = 16

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3 years ago

8 + 8( 8 - n ) = 40 + 8n

Ierofanga [76]

n=2

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3 years ago

Read 2 more answers

Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°

natima [27]

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$\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}$

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3 years ago

Please answer these questions

puteri [66]

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒ When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. $sin\frac{17\pi }{6} \\$

we know π=180°

hence 17/6 π=?---------------cross multiply

$\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi$

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

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3 years ago

Which of the following has six faces?

Goryan [66]

Answer:

Step-by-step explanation:

Hexa means six, so a hexahedron is a figure with six faces. Therefore, choice D is the correct answer.

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3 years ago