4. (x + 4)2 + (y – 5)2 = 25

Center:

Radius:

Step-by-step explanation:

First, use the Pythagorean theorem to find cos x.

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]

[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]

[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]

Now, use the quotient identity

[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]

[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]

[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]

The answer is A

Answer:

see below

Step-by-step explanation:

start with cos (x)

  amplitude 4

      4 cos x

      midline 2

          4 cos (x )    + 2

        period of 1   :      2 pi / 1 = 2 pi   

                multiply x   by 2pi

                        4 cos ( 2 pi x)  + 2

Answer:

The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.

Answer:

Arc AB = 55°

Angle AOB = 55° ( Centre angle is equal to respective arc )

Arc CD = 25°

Angle COD = 25° ( Centre angle is equal to respective arc )

Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)

55° + Angle BOC + 25° = 180°

Angle BOC + 80° = 180°

Angle BOC = 100°

Answer:

the answer is b! i got the same question before!

Step-by-step explanation:

The amount liters of liquid needed for 2 servings of pudding.

[tex]600 + 120[/tex]

[tex] = 720 \: ml[/tex]

[tex]720 \times 2[/tex]

[tex] = 1440 \: ml[/tex]

[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]

[tex] \frac{1440}{1000} [/tex]

[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]

Therefore, 1.44 litres of liquid are required for 2 servings.

Answer:

the measure of the fourth angle is 104 degrees

Step-by-step explanation:

Answer:

Fourth angle = 104º

Step-by-step explanation:

Angles in a quadrilateral add to 360º so:

90 + 46 + 120 + fourth angle = 360º

90 + 166 + fourth angle = 360º

256 + fourth angle = 360

fourth angle = 104º

Answer:

C

Step-by-step explanation:

8- 3.14159265359 = 4.85840734641.

or

8-pi = 4.85>5 which is incorrect.

Answer:

q = 5

Step-by-step explanation:

5 less than 3q is 10.

∴ 3q - 5 = 10

     3q = 15

       q = 5

Hope this helps!

The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

The limit of the function is determined as follows;

[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]

The derivative of the function;

[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]

Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

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Answer:

Pls can u type it out ur self so I can help u out

The height attained by the submarine in the sea will be 80 meters.

Height is a vertical distance travelled by any object. Here the submarine is going down in the sea from 15 meters to 95 meters below the sea.

So the height attained by the submarine will be:-

H= 95-15

H= 80 meters.

Therefore the height attained by the submarine in the sea will be 80 meters.

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Answer:

Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision

Answer:

C. Shows relationship between events, explains how one thing happens as a result of another

Step-by-step explanation:

Answer:

7x - 10 < 11

Step-by-step explanation:

B

Answer:

C & D

Step-by-step explanation:

x^2+6x+7=0

Delta=b^2-4ac=6^2-(4*1*7)=36-28=8

X=((-b)+-(delta)^(1/2))/2

X=((-6)+-(2^(3/2)))/2

[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]

The simplification of √75+ √48 -2√675 is -21√3.

Surds are irrational numbers.

To simplify the surd in the question above, we use the addition and subtraction of surds.

Two or more surds can be added or subtracted if they are in the same basic form.

E.g

Using the above example,

Given:

Express the surds to the same basic form

Hence, the simplification of √75+ √48 -2√675 is -21√3.

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Answer:

4 points

Step-by-step explanation:

104 divided by 26 is 4

and 26x4=104

You can also add 26 4 times to get 104

Answer:

4

Step-by-step explanation:

100 / 25 is 4. So 104 / 26 must be 4 because you added 1 to 25 4 times to 26 x 4 is 106.

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

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

Let h represent the height of triangle ABC, hence:

18 ft² = (1/2) * 3 * h

h = 12 ft

Let x represent the height of triangle EFG, hence:

x/12 = 2/3

x = 8 feet

Area of EFG = (1/2) * 2 * 8 = 8 ft²

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

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Answer:

[tex]S_5=\frac{211}{16}[/tex]

Step-by-step explanation:

We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:

[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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Answer:

See below ~

Step-by-step explanation:

X-intercept(s) : Take y = 0

Y-intercept : Take x = 0

Answer:

your welcome    

Step-by-step explanation:

....bbc

Answer:

B: Brazil

Step-by-step explanation:

The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.

( I hoped this helped)

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

O

(angle sum property of triangle)

⇒x+(180

O

−∠RTQ)+60

O

=180

O

(linear pair)

⇒x+(180

O

−97

0

)+60

o

=180

O

⇒x=31

o

Now, ∠PRT+∠TRQ+∠QRS=180

O

(angle of straight line)

⇒x+48

o

+y=180

O

⇒31

o

+48

o

+y=180

O

⇒y=101

0

The volume of the water that was displaced will be 0.06 cubic feet.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water.

Then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we have

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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Answer:

I think is 4,0

Step-by-step explanation:

if u divide 28 by seven u would get 4 and u cant divide 28 by 5 sooo it would be a decimal but that isnt an option so imma say its the last one