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3 years ago

If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?

Mathematics

2 answers:

Nastasia [14]3 years ago

6 0

Answer:

The answer is 18.

Step-by-step explanation:

90-72=18

dezoksy [38]3 years ago

3 0

Answer:

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

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Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

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3 0

1 year ago

1-cos^2 A / sec^2 A - tan^2 A

tiny-mole [99]

I hope this helps you

✔cos^2A+sin^2A=1

✔1-cos^2A=sin^2A

✔cos2A=cos^2A-sin^2A

✔sin2A=2.sinA.cosA

secA=1/cosA

tgA=sinA/cosA

sin^2A/1/cos^2A-sin^2A/cos^2A

sin^2A.cos^2A/cos2A

2.sin^2A.cos^2A/cos2A

sin2A.2.sin2A/cos2A

tg2A.2.sin2A

6 0

2 years ago

Find the area of a rectangle with the given base and height 5ft,6 in

anygoal [31]

Answer:

360 inch

Step-by-step explanation:

Step 1: Converting

6inch = 6inch

5ft = 60inch

Step 2: Finding the area

Area of a rectangle = L x B

A = 6 x 60

A = 360inch

8 0

3 years ago

Which facts are true for the graph of the function below?Check all that apply. F(x)= (3/7)x

Vikki [24]

Answer:

Step-by-step explanation:

A is false because y-intercept is (0,0)

C is false because x-intercept is (0,0)

D is false because domain is all real numbers

E is false because range is all real numbers

F (see B)

5 0

3 years ago

What is the distance between -60 and -10 on

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

60-10

3 0

3 years ago