Tanxcosx/ sinx =1

I need help to prove this trig function with steps.

Answer:

Step-by-step explanation:
Jake is 5 feet tall. The distance from the flagpole to Jake is 28 feet and the distance between the tip of the shadows and jake is 7 feet.

Answer:

see explanation

Step-by-step explanation:

the figure has 4 congruent sides and 4 right angles and is therefore a square, then

8x - 15 = 3x + 11 ( subtract 3x from both sides )

5x - 15 = 11 ( add 15 to both sides )

5x = 26 ( divide both sides by 5 )

x = 5.2

Answer:

It's a square

x = 26/5

Step-by-step explanation:

Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.

Because the sides are equal, you would set up the equation by making the two expressions equal to each other:

3x + 11 = 8x - 15

The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.

3x + 11 = 8x - 15

-3x -3x

0 + 11 = 5x - 15

Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.

11 = 5x - 15

+15 +15

26 = 5x

Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.

x = 26/5

Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]

To find the measure of angle NLM which is x, we must use trigonometry.

In this case we use the sine function:

    [tex]sin(x) =[/tex] (side opposite angle NLM) / (hypotenuse)

    [tex]sin(x) = \frac{4.9}{7.5} \\x = sin^{-1}(\frac{4.9}{7.5})\\x= 40.8 degrees[/tex]

Hope that helps!

Answer:

11.7

Step-by-step explanation:

I just solved and added them all-

Given :

[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]

Solution :

The first two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]

[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]

Therefore,

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The last two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]

[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]

Therefore,

Answer:

Asking four boys and four girls from each first period class which type of cake they prefer.

Step-by-step explanation:

cant really explain it just knew it off the top of my head.

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Explanation:

The [tex]n^2[/tex] terms cancel out because

[tex]n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0[/tex]

The n terms combine to

5n + (-3n) = 5n - 3n = 2n

Lastly, the constants combine to

-6 + 4 = -2

Overall we have 2n - 2 as the simplified result.

Step-by-step explanation:

a full circle has 360°.

so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.

labour = 360 - 136 - 34 - 54 - 14 = 122°

the fraction 122/360 represents the 183 votes for labour.

122/360 = 183

the fraction 1/1 = 1 then represents the total number of votes in the whole system.

61/180 = 183

1/180 = 3

1 = 3×180 = 540

540 pupils voted altogether.

Answer:

2x + 9

Step-by-step explanation:

because you need a variable in it to make it an algebraic

Answer:

4.5

explanation:

4.5 x 5(This number is not exactly important, but is used as an example)

Is extremely close to the true square root of 21.

That is 4.58257569495584 unrounded.

Answer:

181.44

Step-by-step explanation:

In term of Rajan

CP= Rs 180

P= 20%

So,

P = 20*180/100

= Rs 36

SP=CP + P

=Rs 216

In term of Sajan

CP= Rs 216

loss=20%

l = 20*216/100

= Rs 43.2

SP= CP - l

= Rs 172.8

In term of Nirajan

CP= 172.8

P = 5%

P = 5*172.8/100

= Rs 8.64

so,

SP=CP + P

=172.8 + 8.64

= Rs 181.44

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

Answer:

810

Step-by-step explanation:

SP = 729, LOSS = 10.1

[tex]loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100[/tex]

10 CP = CP x 100 - 729 x 100

729 x 100 = 90 CP

[tex]cp = \frac{729 \times 100}{90} = 810 [/tex]

Cost Price,

$810

Answer:

$73158.07

Step-by-step explanation:

The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.

please mark me as brainlyest

Answer: $73,157.50

Step-by-step explanation:

Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years

We know the compound interest/appreciation formula is:

S=p(1+r/100)^t

[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]

Therefore, the apartment will be worth about $73,157.50 in 4 years

Answer:

182 is 72.8% of 250

Answer:

A) 4n+30=95

B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95

C) the least number of weeks would be 17 since it says a whole week

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

i dont know

Step-by-step explanation:

Answer:

How much is her phone bill? There is not enough information for me to solve this. Not even answer choices.

Step-by-step explanation:

525 - 75 = 450

18 for ever one

equals to 450

18x = 450

450÷18 = x

450 ÷ 18 is

comment and i will check

please put brainest

Answer:

c

Step-by-step explanation:

vertical translation down two units

Answer:

try (-4,6)

Step-by-step explanation:

if you use tracing paper, put a mark where the point is

put the tip of the pencil on the point which it will rotate around

spin the paper by the degrees

see where the traced point ends up

Answer :

⠀

Explanation :

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To Find :

⠀

Solution :

⠀

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]

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Where,

⠀

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]

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Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]

[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]

[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]

⠀

Therefore,

Answer:

101 divide by 102 multiply by 564

Answer:

45 degrees

Step-by-step explanation:

135+135=270

360-270=90

90/2=45

your answer is 45 degrees

Answer:

Step-by-step explanation:

Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

Corresponding angles: When two parallel lines are intersected by the transversal, the angles formed on the matching corners of the same side of the transversal are called corresponding angles.

∠1 + ∠2 = 180°   {Linear pair}

135 + ∠2 = 180

        ∠2 = 180 - 135

∠2 = 45°

∠6 = ∠2   {Corresponding angles}

∠6 = 45°

Answer:

idrk the answer but now I know

Answer:

851.1

Step-by-step explanation:

It would be 851.1

Answer:

6a (6a + 4)

Step-by-step explanation:

What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a

So 6a(6a + 4)

Answer:

-15

Step-by-step explanation:

(y2 - y1)/( x2 - x1) = (4-64)/(3+1) = -60/4 = -15

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

Use difference of squares property:

(x + 3)(x - 3)

Answer:

(3, 5)

Step-by-step explanation:

Answer:

(3, 5)

explanation:

solve for x:

5x-10=-3x+14

5x + 3x = 14 + 10

8x = 24

x = 3

solve for y:

y = 5x -10

y = 5(3) - 10

y = 5

In (x, y) form → (3, 5)