Find the missing side of the triangle.
Solve for X

Answer:

7 statues

Step-by-step explanation:

Step 1: Divide the paint remaining by the paint required by each statue (We are doing this because [tex]\frac{1}{8}[/tex] is 1 statue, so to find how many we need, divide [tex]\frac{7}{8}[/tex] by that.)

[tex]\frac{7}{8}\div \frac{1}{8}\\\\\frac{7}{8}\times \frac{8}{1}\\\\=\frac{7}{1}\\\\= 7[/tex]

Therefore, Diana can paint 7 statues.

Answer:

The amount of interest paid is $22,500

Step-by-step explanation:

Firstly, we need the number of $1 in $450,000

That would simply be $450,000/$1 = 450,000

5 cents is same as 5/100 = $0.05

so we have to multiply 450,000 by 0.05

we have this as;

450,000 * $0.05 = $22,500

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Answer:

1 : 4

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Number of red marbles = fraction of red marbles x total number of marbles

1/5 x 10 = 2

Number of blue marbles = total number of marbles - number of red marbles

10 - 2 = 8

ratio of red to blue marbles

2 : 8

To transform to the simplest form. divide both numbers by 2

1 : 4

Answer:

61

Step-by-step explanation:

180 - 119 =

Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.

Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.

Answer:

12*8.49*8.49 = 8649612in^3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The common ratio of the geometric sequence is 7.

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.

According to the question,

First term = a = 5

Third term = a×r²

                 = 245

⇒ ar² = 245

⇒ 5×r² =245

⇒ r² = 245/5

⇒ r² = 49

⇒ r = 7.

Hence the common ratio = 7

To learn more on geometric progression click :

https://brainly.com/question/4853032

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Answer:

i honestly dont even know myself

Step-by-step explanation:

Volume = Base area × height

V = ( π × r^2 ) × 4.8

V = ( π × ( 2.6/2 )^2 ) × 4.8

V = ( π × (1.3)^2 ) × 4.8

V = ( π × 1.69 ) × 4.8

V = π × 1.69 × 4.8

V = 8.112 π in^2

The volume of the can is 8.112π cubic inches.

The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.

Given:

A can of soda has a height of 4.8 inches.

Its diameter is 2.6 inches.

Then the radius is 2.6/2 = 1.3 inches.

The volume of the can,

= the volume of the cylinder

= πr²h

= π(1.3)²(4.8)

= 8.112π

Therefore, the volume is 8.112π cubic inches.

To learn more about the volume;

https://brainly.com/question/23477586

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Answer:

[tex]The \ vertica \ position \ of \ the \ carousel,\ v = 11 \times sin \left (\dfrac{\pi}{2} \times \left (\dfrac{t}{4} -1\right)\right )[/tex]

Step-by-step explanation:

The parameters of the motion on the carousel are;

The time it takes the carousel to make one complete revolution, T = 16 seconds

The distance Han is sitting from the center = 11 feet

The motion of the carousel can be given by the equation of sinusoidal motion as follows;

v = a·sin(ω·t + c)

Where;

a = The amplitude of the sinusoidal motion = Han's distance from the center = 11 feet

ω = The angular velocity

t = Han's time in motion =

ω = 2·π/T = 2·π/16 rad/s

c = The phase shift

v = The vertical position of the carousel

Given that at the starting point when t = 0, y = minimum, therefore, sin(ω·t + c) = sin(ω×0 + c) = sin(c) = minimum = -1

c = arcsin(-1) = -π/2 we have

Therefore, when time after the carousel starts moving = t second, we have;

The vertical position of the carousel in feet, v = 11·sin((π/8)·t) - π/2) = 11×sin((π/2)·(t/4 - 1))

Answer:

(-4,-5)

Step-by-step explanation:

Given :

[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2

[tex] \implies[/tex] M = ( -8/2 , -10/2 )

[tex] \implies[/tex] M = (-4 , -5)

Hence the midpoint is (-4,-5) .

Answer:

B

Step-by-step explanation:

You just substitute the values in for A and B and then you simplify

The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182

hope this helped

Answer:

182

Step-by-step explanation:

First, plug in 17 for a

10·17+b=170+b

Then plug in 12 for b

170+12=182

There you go!

182

Answer:

70 years

Step-by-step explanation:

Equation that describe the situation

y = 4x + 720

x = years

y = length

1000 = 4x + 720

4x = 280

x = 70

Answer:

0.07

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

Answer:

L' = (0, 1 )

Step-by-step explanation:

The translation rule

(x, y ) → (x - 2, y - 1 )

Means subtract 2 from the x- coordinate and subtract 1 from the y- coordinate.

L (2, 2 ) → L' (2 - 2, 2 - 1 ) → L' (0, 1 )

Answer:

[tex] \frac{ \sqrt{64} }{ \sqrt{16} } \\ = \frac{8}{4} \\ = 2[/tex]

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Answer:

12-3

9 is the range

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: i think a

Step-by-step explanation:

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume is length times width times height

V = l*w*h

V = 4*4*4

V = 64 cm^3

Answer:

64

Step-by-step explanation:

4x4x4=64

Answer:

[tex]\sqrt{176+\sqrt{2401} }[/tex]

=[tex]\sqrt{176+\sqrt{49*49} }[/tex]

=[tex]\sqrt{176+49}[/tex]

=[tex]\sqrt{225}[/tex]

=[tex]\sqrt{15*15}[/tex]

=15

Step-by-step explanation:

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

Answer:

the bro ik

Step-by-step explanation:

yup yup yup bri

Answer:

heyyyy

Step-by-step explanation:

Answer:

H. AB < AD

Step-by-step explanation:

_________________

Answer:

Rachel

Step-by-step explanation:

Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).

The last number in an ID has nothing to do with lunch choice.

Answer:

56.7

Step-by-step explanation:

Have a good day :)

Answer: 56.7 is the answer :))

Answer:

$49,126.87

Step-by-step explanation:

Given data

Principal= $33,000

rate= 6.75%

Time= 6 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6.65/100

r = 0.0665 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 33,000.00(1 + 0.0665/12)^(12)(6)

A = 33,000.00(1 + 0.005541667)^(72)

A = $49,126.87

Hence the final amount is  $49,126.87