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3 years ago

I'll mark ur answer as brainlist and please show you're workk !!

Mathematics

1 answer:

tatyana61 [14]3 years ago

4 0

Answer:

Distance is 37 units

Step-by-step explanation:

Put it in the distance formula on my TI84 Plus CE.

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Please help me!!!!!

Bas_tet [7]

Answer: see proof below

<u>Step-by-step explanation:</u>

Use the Sum & Difference Identity: tan (A - B) = (tanA - tanB)/(1 + tanA tanB)

Use the Half-Angle Identity: tan (A/2) = (1 - cosA)/(sinA)

Use the Unit Circle to evaluate tan (π/4) = 1

Use Pythagorean Identity: cos²A + sin²A = 1

<u>Proof LHS → RHS</u>

$\text{Given:}\qquad \qquad \qquad\dfrac{2\tan\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}{1+\tan^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}$

$\text{Difference Identity:}\qquad \dfrac{2 \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)^2}$

$\text{Substitute:}\qquad \qquad \dfrac{2 \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)^2}$

$\text{Simplify:}\qquad \qquad \qquad \dfrac{1-\tan^2\frac{A}{2}}{1+\tan^2\frac{A}{2}}$

$\text{Half-Angle Identity:}\qquad \quad \dfrac{1-(\frac{1-\cos A}{\sin A})^2}{1+(\frac{1-\cos A}{\sin A})^2}$

$\text{Simplify:}\qquad \qquad \dfrac{\sin^2 A-1+2\cos A-\cos^2 A}{\sin^2 A+1-2\cos A+\cos^2 A}$

$\text{Pythagorean Identity:}\qquad \qquad \dfrac{1-\cos^2 A-1+2\cos A}{2-2\cos A}$

$\text{Simplify:}\qquad \qquad \qquad \dfrac{2\cos A-2\cos^2 A}{2(1-\cos A)}\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\cos A(1-\cos A)}{2(1-\cos A)}$

= cos A

LHS = RHS: cos A = cos A $\checkmark$

4 0

3 years ago

Write the expression as an inequality.

Ksju [112]

Answer:

B. 44 $\leq$ h $\leq$ 74

Step-by-step explanation:

The person is at least that means they can be that height. It says no more than 74 so the person can be 74

8 0

3 years ago

Read 2 more answers

How many feet does a car travelling at 65 MPH go in one second ?

Semenov [28]

Answer:

At 65 mph, keeping one second of following distance means the vehicle is traveling 100 feet behind the vehicle in front. It takes an automobile a minimum of 150 feet to stop. With a 100 foot gap plus the auto's stopping distance of 150 feet, an impact would occur within 250 feet.

4 0

3 years ago

Read 2 more answers

In triangle pqr PQ is equals to PR and angle Q is equals to 80 degree find angle p

Dmitry [639]

Answer: ∠P= 20°

<h3>Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180° </h3>

∠P + 160 = 180

Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20

∠P=20°

6 0

3 years ago

Help me with question pls i have 10 min timer .A farmer plants corn in 1/4 of his field he plants white corn 3/5 of the corn sec

Tema [17]

Answer:

3/20

Step-by-step explanation:

3/5*1/4=3/20

8 0

3 years ago

I'll mark ur answer as brainlist and please show you're workk !!​

I'll mark ur answer as brainlist and please show you're workk !!