0.835 - 0.423
Answers
¥
¥
0.512
0.412
0.402
0.418

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:

[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:

$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

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:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

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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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: i think a

Step-by-step explanation:

Answer:

56.7

Step-by-step explanation:

Have a good day :)

Answer: 56.7 is the answer :))

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.

Given:

The number is [tex]3.\overline{5}[/tex].

To find:

The simple fraction of the given number.

Solution:

Let us assume,

[tex]x=3.\overline{5}[/tex]

Then,

[tex]x=3.555...[/tex]                 ...(i)

Multiply both sides by 10.

[tex]10x=35.555...[/tex]          ...(ii)

Subtracting (i) from (ii), we get

[tex]10x-x=35.555...-3.555...[/tex]

[tex]9x=32[/tex]

[tex]x=\dfrac{32}{9}[/tex]

Therefore, the simplified fraction form of the given number is [tex]\dfrac{32}{9}[/tex].

Answer:

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

Answer:

i honestly dont even know myself

Step-by-step explanation:

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:

The top choice.

Step-by-step explanation:

If a quadratic function is a perfect square trinomial, its graph will intersect the x-axis exactly once.

[tex]y=(x+1)^2\\[/tex]

Expanded, this is [tex]y=(x+1)(x+1)[/tex]

There is only one value of x which makes the "two" factors equal to zero, and that is -1, where the graph touches the x-axis.

See the attached graph. [tex]y=(x+1)^2[/tex] is the purple graph.

The green graph is an example of a quadratics which is NOT a perfect square. It's the function [tex]y=x^2-x-2[/tex].

Answer:

y = 14

Step-by-step explanation:

y = x^2 -5x

Let x =7

y = 7^2 -5*7

y = 49- 35

y = 14

Answer:

72 I think

Step-by-step explanation:

Answer:

[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Answer:

E 604,000

Have a nice day

Answer:

t = -2.566s and -1.169s

Step-by-step explanation:

Given the height of the ball expressed at

h(t) = 5t²+14t+3

The ball will hit the ground at h(t) = 0

Substitute and get t

0 = 5t²+14t+3

Use general formula

t = -14+/- √14²-4(5)(3)/2(5)

t = -14+/- √196-60)/10

t = -14+/- √136/10

t =-14+/- 11.66/10

t = -25.66/10 and -2.338/2

t = -2.566s and -1.169s

Hence the ball will hit the ground at these times

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:

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:

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 would say 550 miles or 1,100 miles

Step-by-step explanation:

Answer:

A. ∠EYL and ∠AYS

B. ∠SYL and ∠EYA

Step-by-step explanation:

hope this helps and hope this is right. p.s i really need brainliest :)

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:

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