please someone help this is on aleks​

Answer:

The solution of this trigonometric identity is [tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Step-by-step explanation:

Let [tex]7\cdot \tan \theta - 8 = 5\cdot \tan \theta -5[/tex], we proceed to simplify the expression and solve afterwards either by algebraic or by trigonometric means:

[tex]7\cdot \tan \theta -8 = 5\cdot \tan \theta -5[/tex]

[tex]2\cdot \tan \theta = 3[/tex]

[tex]\tan \theta = \frac{3}{2}[/tex]

[tex]\theta = \tan^{-1} \frac{3}{2}[/tex]

The tangent is a trigonometric function with a period of 180°. Hence, we find that the family of angles associated with such value is:

[tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Answer:

A 45

Step-by-step explanation:

45 is the answer and hope this helps!

Answer:

x = 3

Step-by-step explanation:

2x = 5x - 9

add 9 to each side

2x + 9 = 5x

subtract 3x from each side

9 = 3x

divide each side by 3

3 = x

x = 3

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-Chetan K

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

Read more about function transformation at:

https://brainly.com/question/1548871

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Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

The number of sides of the base of a prism and the number of lateral faces is equal.

A prism is a three-dimensional object with two congruent and parallel faces, called the bases and it encloses the space between the bases. Every cross-section parallel to the base of a prism is congruent to its base.

In the question, we are asked to tell the relationship between the number of sides of the base of a prism and the number of lateral faces.

We let the number of sides of the base of the prism be s, and let the number of lateral faces of the prism be f.

We know that a prism has two parallel and congruent bases and every corresponding side of the base are connected by a pane. These planes are the lateral faces of the prisms. As each corresponding pair of sides is connected by one lateral face, the number of the lateral face is equal to the number of sides of the base.

∴ The number of sides of the base = The number of lateral faces of the prism

or, s = f.

∴ We can say that the number of sides of the base of a prism and the number of lateral faces are equal.

Learn more about prisms at

https://brainly.com/question/1297098

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Answer:900ft

Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900

if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out

Answer:

5

Step-by-step explanation:

5+(x-2)=8

5+x=10

x=5

Answer: x=5

Step-by-step explanation:

Step-by-step explanation:

used to find the missing side of a right triangle.

side A and B are called legs.

side C is called the hypotenuse.

Answer for question number 1

c=15.26

question #2

Answer= 34.83

question #3

Answer = 5.66

question #4

Answer= 23.78

Answer:

Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?

Step-by-step explanation:

Answer:

it the second situation mate

Step-by-step explanation:

hope i helped you amd it is correct..

Answer:

4

Step-by-step explanation:

Since its a 45-45-90 triangle then the 2 legs are going to be the same.

Answer:

90°

Step-by-step explanation:

Always remember that the sum of all angles is 180°.

So there are two 45° angles, so just add them up and you get 90

So if you subtract 90 from 180, you get 90, and that's your answer

Answer:

I don't speak spanish

Step-by-step explanation:

Answer:

27,632

Step-by-step explanation:

In the comments that is the answer to the next question but the answer for this question is 27632 in.^2

Answer:

58degrees

Step-by-step explanation:

Given

tan^-1(1.6)

= tan^-1(16/10)

= tan^-1(8/5)

= 57.99 degrees

Hence the value of tan^-1(1.6) to the nearest degrees is 58degrees

Answer:

340.062

Step-by-step explanation:

Answer:

163.4

Step-by-step explanation:

Answer:

aaaa

Step-by-step explanation:

Answer:

h(2) = 2

h(5) = -7

Step-by-step explanation:

h(n)=8-3n

h(1)=8-3(1) = 5

h(2)=8-3(2) = 2

h(5) = 8-3(5) = 8-15 = -7

Answer:

42: 1, 2, 3, 6, 7, 14, 21, 42

43: 1, 43

Step-by-step explanation:

Answer:

[tex]5^6[/tex]

Step-by-step explanation:

Answer:

I believe the answer would be 5^6

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

[tex]\frac{96}{6}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

Answer:

3/5

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

0.6 repeating is 66%.

From decimal to percent:

To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.

From decimal to fraction to percent:

I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Answer:

2. B. 30 sq yd

Step-by-step explanation:

[tex]area = area \: of \: triangle \: + \: area \: of \: parallelogram \\ but \: area \: of \: parallelogram = area \: of \: rectangle - area \: of \: two \: small \: triangles \\ = (4 \times 8) - 2( \frac{1}{2} \times 3 \times 4) \\ = 32- 12 \\ = 20 \: sq \: yards \\ area = (\frac{1}{2} \times 5 \times 4) + 8 \\ = 10 + 20 \\ = 30 \: sq \: yards[/tex]

Answer:

The area of shaded figure is 30 sq yards .

Step-by-step explanation:

In the graph the figure is consist of :

To calculate the area of shaded figure we need to find the area of triangle and parallelogram and combine them to get the area of shaded figure.

Finding the area of triangle:-

Area of triangle = ½ × Base × Height

Area of triangle = ½ × 5 × 4

Area of triangle = ½ × 20 yard²

Hence, the area of triangle is 10 sq yards.

Finding the area of parallelogram :

Here, to calculate the area subtract the area of two small circle from the area of rectangle .

Area of parallelogram = l × b - 2 (( b × h )½)

Area of parallelogram = 4 × 8 - 2 ( 3 × 4 × ½)

Area of parallelogram = 32 - 12.

Area of parallelogram = 20 sq yards.

Hence, Area of parallelogram = 20 sq yards.

Area of figure = Area of parallelogram + Area of triangle.

Area of figure = 20 sq yards + 10 sq yards.

Area of figure = 30 sq yards .

Hence,

The area of shaded figure is 30 sq yards .

Answer:

No.

Step-by-step explanation:

Because the lateral faces of a regular pyramid are congruent isosceles triangles. The altitude of any of these triangles is the slant height of the regular pyramid.

Answer:

the interior angle of polygon is nonagon

and the measurement is 1440

Answer:

The third statement is true.

2.5t + 4 = 6.5 (in. of snow)

Answer:

I think its the first one

Step-by-step explanation:

Answer:

A = 1000(1 + .03 /4)4t

Explanation:

The money invested is the principal that is $ 1000.

The quarterly interest = 3/4 = 0.75 %

Assuming the number of years the money invested was x, then the interest period (n) will be 4 x (quarters)

Using the formula, A = P (1 + r/100)∧n

Therefore, the growth of the investment will be given by

1000( 1.0075)∧n, where n is the interest period.