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Select the correct answer.
What is the value of arcsin ?

Answers

Answer 1

Answer:

For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.

We must find the $arcsin (\frac {\sqrt {2}} {2})$ . Then, we look for the angle whose sine is $\frac {\sqrt {2}} {2}$ .

We have to, by definition:

$Sin (45) = \frac {\sqrt {2}} {2}$

So, we have to:

$arcsin (\frac {\sqrt {2}} {2}) = 45$

Answer:

Option B

Answer 2

Answer:

Answer:

Choice B

Step-by-step explanation:

An option is to find the the square root of 2 in decimals is $(1.414213562)/(2) ≈ <strong>0.7071067812</strong>$

Now we can use the arc sine, which is the inverse of a sin.

To do this we must use a scientific calculator. By pressing the arc sin button and entering in 0.7071067812, we can find the arc sin, which is 45°.

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What's the perimeter of a regular heptagon if one side measures 3 inches? A. 10 in.
B. 21 in.
C. 18 in.
D. 11 in.
3. A polygon that has all sides the same measure and all angles the same measure is called what?
A. Irregular polygon
B. Convex polygon
C. Regular polygon
D. Concave polygon
4. The gazebo in the park is an octagon. Each side of the gazebo is 4 feet long. What is the perimeter of the gazebo?
A. 24 feet
B. 36 feet
C. 30 feet
D. 32 feet
5. Which of the following best describes a plane?
A. The surface of a flat table
B. A curve in a road
C. The edge of a desk
D. The point of intersection of two walls
6. Two angles are supplementary. The first angle measures 40°. What's the measurement of the second angle?
A. 120°
B. 50°
C. 140°
D. 60°
7. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?
A. 6 centimeters
B. 1.5 centimeters
C. 3 centimeters
D. 4 centimeters
8. The Pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the Pentagon?
A. 2,663,476.74 ft.
B. 3,684 ft.
C. 5,526 ft.
D. 4,605 ft.

Answers

B. 21 in. A heptagon has seven sides, each side has the same measure. 3x7 equals 21.C. Regular polygon. It is called regular because of the regularity of all the sides.D. 32 feet. An octagon has 8 sides. 4x8 equals 32.A.The surface of a flat table.C.140Â°. To have supplementary angles means to have two angles that joined together they add 180.7. The answer should be 9.42 centimeters, since the diameter is the same size of that of the bottom.D. 4,605 ft. A pentagon counts with 5 sides, these 5 sides of 921 each one, add 4,605.

Part 2) What's the perimeter of a regular heptagon if one side measures 3 inches?

we know that

The number of sides in a regular heptagon is equal to $7$

The perimeter is equal to

$P=7*a$

where

a is the length side

in this problem

$a=3\ in$

substitute

$P=7*3 =21\ in$

therefore

the answer Part 2) is the option

B. 21 in.

Part 3) A polygon that has all sides the same measure and all angles the same measure is called what?

we know that

When all angles are equal and all sides are equal, is a polygon that is equiangular and equilateral, so, is called a regular polygon

therefore

the answer part 3) is the option

C. Regular polygon

Part 4) The gazebo in the park is an octagon. Each side of the gazebo is 4 feet long. What is the perimeter of the gazebo?

we know that

The number of sides in a octagon is equal to $8$

The perimeter is equal to

$P=8*a$

where

a is the length side

in this problem

$a=4\ ft$

substitute

$P=8*4 =32\ ft$

therefore

the answer Part 4) is the option

D. 32 feet

Part 5) Which of the following best describes a plane?

we know that

--The edge of a desk is a piece of a straight or curved line.

-- A curve in a road is a piece of a curved line.

-- The intersection of two walls is a piece of a straight line

therefore

the answer Part 5) is the option

A. The surface of a flat table

Part 6) Two angles are supplementary. The first angle measures 40°. What's the measurement of the second angle?

we know that

Two angles are supplementary if the sum of their angles is equal to $180$ degrees

Let

x------> the measure of the second angle

$40+x=180\n x=180-40\n x=140\ degrees$

therefore

the answer Part 6) is the option

C. 140°

Part 7) In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?

we know that

The circumference is equal to

$C= \pi D$

where

D is the diameter

solve for D

$D=(C)/(\pi)$

$D=(9.42)/(\pi)$

$D= 3\ cm$

therefore

the answer Part 7) is the option

C. 3 centimeters

Part 8) The Pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the Pentagon?

we know that

The number of sides in a pentagon is equal to $5$

The perimeter is equal to

$P=5*a$

where

a is the length side

in this problem

$a=921\ ft$

substitute

$P=5*921 =4,605\ ft$

therefore

the answer Part 8) is the option

D. 4,605 ft.

Evaluate each expression for the given values of the variables. SHOW ALL WORK. -5(x+2y)+15(x+2y)

x=7

y=-7

Answers

Here you go if that helps.

If the dimensions of a rectangle are a+3b and a−3b, what is the area of the rectangle in terms of a and b?

Answers

area=legnth times width
we notice this is a special case
(a+b)(a-b)=a^2-b^2

area=(a+3b)(a-3b)=a^2-9b^2

area=a^2-9b^2

Which is the most descriptive name for the shape below?shape
A. square
B. rectangle
C. rhombus
D. quadrilateral

Answers

B. Rectangleeeeeeeeeeeeeeeeeee

Answer:

It's either B or D

Step-by-step explanation:

Which do you think it is?

Help me find the degree of this polynomial

Answers

Answer:

polynomial of degree 8

Step-by-step explanation:

the degree of a polynomial is the value of the exponent of the term with the largest exponent

given

6 $s^(8)$ + 2 $s^(6)$ - 5s

the term with the largest exponent is 6 $s^(8)$ , with exponent of 8

then the polynomial is of degree 8

The total number of fungal spores can be found using an infinite geometric series where a1 = 8 and the common ratio is 4. Find the sum of this infinite series that will be the upper limit of the fungal spores.

Answers

The formula for infinite geometric series is equal to a1 / (1-r) where in this problem a1 is equal to 8 and r is equal to 4. In this case, r is not equal to less than 1. This means the sum should be infinity and cannot be determined definitely.

Answer:

This infinite geometric series is divergent and thus we cannot find the sum. The sum is infinity.

Step-by-step explanation:

There are two types of geometric series: convergent and divergent.

The sum of an infinite geometric sequence is given by the formula:

Sum = $(a)/(1-r)$