can someone help me with this problem? thanks!

Answer:

A) [tex]4\cos^2\theta=3[/tex]

B) [tex]81\tan^2\theta=27[/tex]

Step-by-step explanation:

[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]

[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]

[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]

Answer:

it will be figure 3

Step-by-step explanation:

it is the odd one of them, with inner concave

Answer:

Perimeter = 61 7/20

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.

Answer:

7.5 units

Step-by-step explanation:

since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.

distance = | - 2.5 - 5 | = | - 7.5 | = 7.5

or

distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5

The expression for the 12 more than half of the postcard will be written as:- P/2+12=P

The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.

here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.

The expression will be written as:-

P/2+12=P

Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P

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Answer:

D. 68+(6x+4)=180

x = 18

Step-by-step explanation:

"Supplementary angles" are angles that add up to 180°

So we add the twi angles 68+(6x+4) and that equals to 180°.

68 + 6x + 4 = 180

add 68 and 4

72 + 6x = 180

subtract 72.

6x = 108

divide by 6.

x = 18

Answer:

(x + 16)° = 141°

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The range is all real numbers

It will indefinitely go up and indefinitely go down

The congruent parts of the triangle are:

<A ≅ < Y

< B ≅ <Z

< C≅ <X

AB ≅ YZ

AC ≅ YX

BC ≅ ZX

]ABC ≅ YZX

The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.

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Answer: Heyaa!! ~

Your Answer is... 1/m^8 which is the b or the second answer!

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you!

-Matthew ^^

By completing squares, we will see that the center of the given circle is at (-3, -2).

The general circle equation centered on (a, b) of radius R is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

In this case, our equation is:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]

First, we need to complete squares, we will have:

[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]

Then, by looking at the left side, we can see that the center of the circle is (-3, -2).

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Answer:

d

Step-by-step explanation:

got it right on edge

Answer:

The polynomial f(x) = x^2 - 8x - 20

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

Answer:

c obtuse angle

Step-by-step explanation:

Answer: C, Obtuse Angle

Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.

An acute angle is an angle with LESS than 90 degrees, which is also incorrect.

An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.

A straight angle is just a straight line, which this angle is not.

Answer:

f(-2) = 0

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

f(x) = x² - 4

Step 2: Find f(-2)

∴ the function when x = -2 is equal to 0.

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Topic: Algebra I

Answer:

C. 24

Step-by-step explanation:

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

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Topic: Algebra I

Answer:

area is 630

we can multiply 2 1 by 21= 63 by 10=630

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

Answer:

see explanation

Step-by-step explanation:

an arc of a circle is equal to the central angle subtended by the arc

central angle of arc ED = 50° ( vertically opposite angles )

then

arc ED = 50°

the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°

then

arc BC = 90°

the central angle subtended by arc AE = 180° - 50° = 130°

then arc AE = 130°

arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°

Answer:

Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.

Step-by-step explanation:

Answer:

t=0.9

Step-by-step explanation:

Answer:

yor mom

Step-by-step explanation:

The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The decline rate will be calculated as below:-

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function :

b = 0.83

The decline rate will be calculated as,

Decline rate = 1 - 0.83 = 0.17 x 100 = 17%

The function B(t) = 1872(0.83)[tex].^t[/tex]  represents the annual population of bees in a county park, the decline rate is 17%.

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Answer:

3.5 i think

Step-by-step explanation:

r=(3V

4π)⅓=(3·180

4·π)⅓≈3.50263

After I graphed it gave me - y>−4x

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