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cluponka [151]
2 years ago
6

Pls help :Find the missing side or angle. Round to the nearest tenth.

Mathematics
2 answers:
Nitella [24]2 years ago
7 0

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

ruslelena [56]2 years ago
3 0

Answer:

  79.0°

Step-by-step explanation:

The Law of Cosines is used for this purpose. It tells you ...

  a² = b² +c² -2bc·cos(A)

Solving for A gives ...

  cos(A) = (b² +c² -a²)/(2bc) = (15² +29²-30²)/(2(15)(29)) = 166/870

Using the inverse cosine function, we find the angle to be ...

  A = arccos(166/870) ≈ 79.00026°

  A ≈ 79.0°

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Answer:

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Step-by-step explanation:

When x=4, substitute 4 into the function to give f(4).

f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124

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2 years ago
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shtirl [24]
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6 0
3 years ago
NEED HELP ASAPPP!!!! Get brainlist!
tangare [24]

Answer:

394.9 cm

Step-by-step explanation:

The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).

r = radius

h = height

The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.

Plug in the values.

a(unknown)^2 + 6^2 = 15^2

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*PEMDAS*

A = 3.14 × 6 ( 6 + √36 + 187.69 )

A = 3.14 × 6 ( 6 + √223.69 )

A = 3.14 × 6 ( 6 + 14.95 )

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A = 394.9 cm

Hope this helps! :)

8 0
3 years ago
Sin 3pi divided by 4
KATRIN_1 [288]
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[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
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