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3 years ago

14

Really need help Pls

1 answer:

Studentka2010 [4]3 years ago

6 0

Answer:

20.57 cm

Step-by-step explanation:

Circumference of half circle = diameter + half of circumference

$= 8 +\dfrac{2\pi r}{2}\\\\\\= 8 + \pi r\\\\= 8 + 3.142 * 4\\\\= 8 + 12.568\\\\= 20.568\\\\= 20.57 \ cm$

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1+cos2A/cos2A = tan2A/tanA prove LHS=RHS

son4ous [18]

$RTP: \frac{1 + cos(2A)}{cos(2A)} = \frac{tan(2A)}{tan(A)}$

$LHS = \frac{1 + cos(2A)}{cos(2A)}$
$= \frac{1 + \frac{1 - tan^{2}(A)}{1 + tan^{2}(A)}}{\frac{1 - tan^{2}(A)}{1 + tan^{2}(A)}}$
$= \frac{\frac{1 + tan^{2}(A) + 1 - tan^{2}(A)}{1 + tan^{2}(A)}}{\frac{1 - tan^{2}(A)}{1 + tan^{2}(A)}}$
$= \frac{2}{1 - tan^{2}(A)}$
$= \frac{2}{1 - tan^{2}(A)} \cdot \frac{tan(A)}{tan(A)}$
$= \frac{\frac{2tan(A)}{1 - tan^{2}(A)}}{tan(A)}$
$= \frac{tan(2A)}{tan(A)}$
$= RHS$ , as required.

3 0

4 years ago

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aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

5 0

3 years ago

What is the area of the figure

trapecia [35]

Answer: B. 532

Step-by-step explanation:

18*18 = 324

16*18 = 288/2 = 144

16*8 = 128/2 = 64

324+144+64

=

532

7 0

3 years ago

If annual college tuition and fees cost $8675, room and board cost $2235, books are $1850, and other charges are $250 per year,

lawyer [7]

Well we have to do 8675 + 2235 + 1850 + 250 which equals $13,010
so the answer is $13,010

8 0

3 years ago

Read 2 more answers