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3 years ago

Verify the Pythagorean Identity.

Mathematics

1 answer:

tigry1 [53]3 years ago

8 0

To solve this problem you must apply the proccedure shown below. You have that:

1+cot^2θ=csc^2θ (You have that cos^2θ+sin^2θ=1)<span>
1+(cos^2</span>θ/sin^2θ)=csc^2θ
1+(1-sin^2θ/sin^2θ)csc^2θ
sin^2θ+1-sin^2θ=csc^2θ
1/sin^2=csc^2 (You have that 1/sin=csc)

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Sonya drops a marble while standing on a deck 7 7/8 feet above the ground. The marble falls 4 1/4 feta from Sonya's hand to the

Greeley [361]

Answer:

$12\dfrac{1}{8}\ feet$

Step-by-step explanation:

Sonya drops a marble while standing on a deck $7 \dfrac{7}{8}$ feet above the ground.

The marble falls $4 \dfrac{1}{4}$ feet from Sonya's hand to the deck, and then rolls and falls to the ground.

So, the ball falls $4 \dfrac{1}{4}$ feet from Sonya's hand to the deck and $7 \dfrac{7}{8}$ from the deck to the ground, in total

$4\dfrac{1}{4}+7\dfrac{7}{8}=4\dfrac{2}{8}+7\dfrac{7}{8}=(4+7)+\dfrac{2+7}{8}=11+\dfrac{9}{8}=11+1\dfrac{1}{8}=12\dfrac{1}{8}\ feet$

8 0

3 years ago

Read 2 more answers

Which of the following is an equation for the plane through the point (1, 1, −1) and parallel

Bas_tet [7]

The given plane, $x-y+z=3$ , has normal vector $\vec n = \langle1,-1,1\rangle$ . Any plane parallel to this one has the same normal vector.

Let $(x,y,z)$ be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is

$\langle x,y,z\rangle - \langle 1,1,-1\rangle = \langle x-1, y-1, z+1 \rangle$

and this is perpendicular to $\vec n$ .

So the equation of the plane is

$\langle x-1, y-1, z+1 \rangle \cdot \vec n = 0 \implies (x-1) - (y-1) + (z+1) = 0 \implies \boxed{x - y + z = -1}$

or equivalently,

$\boxed{-x + y - z = 1}$

6 0

2 years ago

Can you please help me I will give you Brainliiest..

Solnce55 [7]

Answer:

Step-by-step explanation:

necesito acabar la creación de cuenta

7 0

2 years ago

Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries sh

nikitadnepr [17]

She has to buy $100.00 worth of groceries before her savings equals the membership fee.

4 0

3 years ago

Read 2 more answers

PLSS HELP ILL GIVE YOU BRAINLIEST!!

uysha [10]

Answer:

Step-by-step explanation:

Q1)

Use Phythogoras theorem:

$(AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20} \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}$

Q2)

Apply phythogoras theorem:

$CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4$

Q3)

Apply phythogoras theorem again:

$BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218} \\\\BC=\sqrt{218} \\\\BC=14.76$

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

4 0

3 years ago