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sammy [17]
3 years ago
9

Solve for n. Round to the tenths place, if necessary. A. n = 12 B. n ≈ 9.5 C. n = 11 D. n ≈ 10.9

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0
What is the equation?

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Will somebody give me a hand
erica [24]
Area = π × r2. Or, when you know the Diameter: A = (π/4) × D2. So A = 6π, which is 18.85. So A = 18.85. And here's the hand.

3 0
3 years ago
Given b= 4 and c= -5, evaluate b2 - c2.<br> 41<br> -2<br> -9
irina [24]

Answer:

-9

Step-by-step explanation:

b² - c²

= 4² - (-5)²

= 16 - 25

= -9

4 0
3 years ago
Given that 1/(3^x) = 0.2<br> Find the value of (3^4)^x
bulgar [2K]
Hope this would help you

6 0
4 years ago
Use triangle ABC drawn below &amp; only the sides labeled. Find the side of length AB in terms of side a, side b &amp; angle C o
Brrunno [24]

Answer:

AB = \sqrt{a^2 + b^2-2abCos\ C}

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

h = aSin\ C

Also, in BOC (Using Pythagoras)

a^2 = h^2 + x^2

Make x^2 the subject

x^2 = a^2 - h^2

Substitute aSin\ C for h

x^2 = a^2 - h^2 becomes

x^2 = a^2 - (aSin\ C)^2

x^2 = a^2 - a^2Sin^2\ C

Factorize

x^2 = a^2 (1 - Sin^2\ C)

In trigonometry:

Cos^2C = 1-Sin^2C

So, we have that:

x^2 = a^2 Cos^2\ C

Take square roots of both sides

x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

Substitute x= aCos\ C and h = aSin\ C in AB^2 = h^2 + b^2-2bx+x^2

AB^2 = h^2 + b^2-2bx+x^2

AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2

Open Bracket

AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C

Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

6 0
3 years ago
What is the sum of all integers between 19 and 77 squared rooted?
Alex Ar [27]
4<√19<5 
8<√77<9
so the quality numbers are 5,6,7,and 8
5+6+7+8=26 
so the answer is 26
4 0
3 years ago
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