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3 years ago

(40 points)

Mathematics

2 answers:

garik1379 [7]3 years ago

8 0

Answer:

${ \sec}^{2} x - { \tan}^{2} x = 1 \\ \\ { \sin}^{2} x + { \cos }^{2} x = 1$

Nady [450]3 years ago

4 0

Answer:

sec²x - tan²x = 1

sin²x + cos²x = 1

These two among the following are correct trigonometric identities.

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3 а. A = 6 cm Calculate the diameter of the circle.

jeyben [28]

Answer:

2.739... cm

Step-by-step explanation:

The formula for finding diameter from area is

d = 2√(a/pi)

Replace the a with 6, and the answer becomes

2.739

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3 years ago

Which of these is the alternate interior angle of BEA?

Lerok [7]

Answer:

Angle EBF is the alternate interior angle of BEA.

Step-by-step explanation:

We are taking AE parallel to BF and EB as the transversal.

Hope it helps you.^_^

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3 years ago

Anzio, Inc., has two classes of shares. Class B has 10 times the voting rights as Class A. If you own 10 % of the Class A share

Neko [114]

Answer:

$19.1\%$

Step-by-step explanation:

Let x represent voting rights of class A.

We have been given that class B has 10 times the voting rights as Class A. So voting rights of class B would be $10x$ .

We have been given that you own 10% of the Class A shares, that will be equal to 10% of x as:

$10\%\text{ of }x=\frac{10}{100}x=0.10x$

We are also told that you own 20% of the Class B shares, that will be equal to 20% of $10x$ as:

$20\%\text{ of }10x=\frac{20}{100}\cdot 10x=2x$

Sum of percentage of both class voting rights would be $0.10x+2x=2.10x$ .

Total voting rights of both classes would be $x+10x=11x$ .

Now we need to find $2.10x$ is what percent of $11x$ .

$\text{Percentage of the total voting rights that you hold}=\frac{2.10x}{11x}\times 100\%$

$\text{Percentage of the total voting rights that you hold}=\frac{2.10}{11}\times 100\%$

$\text{Percentage of the total voting rights that you hold}=0.19090909\times 100\%$

$\text{Percentage of the total voting rights that you hold}=19.090909\%$

$\text{Percentage of the total voting rights that you hold}\approx 19.1\%$

Therefore, you hold approximately $19.1\%$ of the total voting rights.

6 0

3 years ago

Write the equation of a circle with a center at (-1,2) and a radius of 7

Sever21 [200]

Answer:

$(x+1)^2+(y-2)^2=49$

Step-by-step explanation:

The standard form for the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where r is the radius, and the center is (h, k).

(h, k) = (-1, 2), r = 7

$(x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49$

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3 years ago

The _____ is the point of intersection of the medians of a triangle.

OlgaM077 [116]

Answer:

centroid

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3 years ago