If tanA=1/7 and tanB=1/3 prove that cos2A=sin4B

Help PLZZ

Alexus [3.1K]

<h3 /><h3> $\huge \rm༆ Answer ༄$ </h3>

To find slope we use the formula ~

$\sf \dfrac{y2 - y1}{x2 - x1}$

[ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]

let's find the slope of line passing through the given points ~

$\sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)}$

$\sf \dfrac{ - 9 + 14}{10 + 4}$

$\sf \dfrac{5}{14}$

$\sf \dfrac{6 - ( - 14)}{16 - ( - 4)}$

$\sf \dfrac{6 + 14}{16 + 4}$

$\sf \dfrac{20}{20}$

$\sf1$

$\sf \dfrac{ - 4 - ( - 20)}{9 - 5}$

$\sf \dfrac{ - 4 + 20}{4}$

$\sf \dfrac{16}{4}$

$\sf4$

$\sf \dfrac{20 - 20}{ - 13 - ( - 18)}$

$\sf\dfrac{0}{ - 13 + 18}$

$0$

I hope it helps ~

___________________________________

$꧁ \: \: \large \rm{kaul} \: ꧂$

3 0

3 years ago

(x-3y+ 3z=-4<br><br> 2x+3y-z =15<br><br> (4x-3y- z=19<br><br> - What is the solution to the system?

lesya [120]

Answer:

x=5,y=1 and z=-2

Step-by-step explanation:

We are given that system of equation

$x-3y+3z=-4$ (I equation)

$2x+3y-z=15$ (II equation )

$4x-3y-z=19$ (III equation )

Equation II multiply by 3 then add with equation I

Then, we get

$7x+6y=41$ ....(Equation IV)

Subtract equation II from equation III then we get

$2x-6y=4$ (equation V)

Adding equation IV and equation V then, we get

$9x=45$

$x=5$

Substitute x=5 in equation V then, we get

$2(5)-6y=4$

$10-6y=4$

$6y=10-4=6$

$y=1$

Substitute x=5 and y=1 in equation then, we get

$5-3(1)+3z=-4$

$2+3z=-4$

$3z=-4-2=-6$

$z=\frac{-6}{3}=-2$

Hence, the solution for the given system of equation is given by

x=5,y=1 and z=-2

7 0

3 years ago

please help as soon as possible-Solve the right triangle shown in the figure. WIll mark brainliest to first correct answer

Dennis_Churaev [7]

Answer:

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

Step-by-step explanation:

From my understanding, we have to find angle A, angle B and side AB.

<em>AB can be solved through the Pythagoras theorem.</em>

c = 2.9 cm

<u>Step 2: Find angle A</u>

<em>Angle A can be found through tan formula</em>

<em>tan (angle) = opposite/adjacent</em>

<em>tan (angle A) = BC/AC</em>

<em>tan (angle A) = 2.7/1.1</em>

<em>Angle A = tan inverse (2.7/1.1)</em>

Angle A = 68°

<u>Step 3: Find angle B</u>

<em>All 3 angles of a triangle are equal to 180°</em>

<em>Angle A + Angle B + Angle C = 180°</em>

Angle B = 22°

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

!!

6 0

3 years ago

Jake and Hannah wash windows Jake charges $50 plus $2 per window hannah charges $20 plus $5 per window for how many windows wash

AnnZ [28]

10.
50+(2x)=20+(5x)
-20 -20
-2x -2x
30=3x
divide both sides by 3
10=x

8 0

3 years ago

You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that

Dmitry [639]

-----------------------------------------------------------------
Square Rug
-----------------------------------------------------------------
Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²

-----------------------------------------------------------------
Rectangle Rug
-----------------------------------------------------------------
Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²

39.69 ft² is bigger than 29.36 ft², so the square rug is bigger.

-----------------------------------------------------------------
Ans: The Square Rug covers a greater area
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8 0

3 years ago