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Scorpion4ik [409]

3 years ago

14

Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

1 answer:

Artyom0805 [142]3 years ago

8 0

Answer:

AB = 4.62 m∠A = 22° m∠B = 68°

Step-by-step explanation:

Tan A = 1.7/4.3 = .39534...

m∠A = arctan .39534... ≅ 22°

m∠B = 90 - 22 = 68°

AB = $\sqrt{1.7^{2} + 4.3^{2} } = \sqrt{2.89 + 18.49} = \sqrt{21.38} = 4.62$

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I really don’t understand this and just need an explanation of how to do it.

sertanlavr [38]

$\bf ~\hspace{12em}\left( \cfrac{2n}{-3n\cdot -2n^2} \right)^4
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
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$\bf \cfrac{1}{-3n}\cdot \boxed{1}\cdot \cfrac{1}{-n}\implies \cfrac{1}{-3n\cdot -n}\implies \cfrac{1}{3n^2}
\\\\[-0.35em]
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\left( \cfrac{2n}{-3n\cdot -2n^2} \right)^4\implies \left( \cfrac{1}{3n^2} \right)^4\implies \stackrel{\textit{distributing the exponent}}{\cfrac{1^4}{3^4n^{2\cdot 4}}}\implies \cfrac{1}{81n^8}$

7 0

3 years ago

Which expression can be used to find the volume of the sphere?

Kryger [21]

Answer:

They used 3.14 for pi:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} (3.14)(5)^3$

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3$ is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

$V=\frac{4}{3} \pi (5)^3$

4 0

3 years ago

Read 2 more answers

Increase £14187.13 by 14.5%

zhenek [66]

Answer:

16,244.26

Step-by-step explanation:

14,187.13 + (14.5% × 14,187.13) =

14,187.13 + 14.5% × 14,187.13 =

(1 + 14.5%) × 14,187.13 =

(100% + 14.5%) × 14,187.13 =

114.5% × 14,187.13 =

114.5 ÷ 100 × 14,187.13 =

114.5 × 14,187.13 ÷ 100 =

1,624,426.385 ÷ 100 =

16,244.26385 ≈

5 0

4 years ago

Read 2 more answers

Find the fraction of Chandler's comic book collection that is made

m_a_m_a [10]

Im not sure what your asking

8 0

3 years ago

What is the dimension of a rectangle if the perimeter is 198

AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or, 198 = 2 × (Length + width)

Or, $\frac{198}{2}$ = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

99 Width - width² = maximum Let width = W

Now differentiate both side with respect to W

D(99W - W²) $\frac{D(99w - w^2)}{Dw}$ = 0 as, constant diff is 0

So, 99 - 2w = 0

Or, w = $\frac{99}{2}$

Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer

3 0

3 years ago