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Schach
2 days ago
9

Three identical circular coins are lined up in a row as shown (the 10s represent their value, not a length). The distance betwee

n the first and third coins is 3.2 cm. What is the diameter of one of these coins?​

Mathematics
1 answer:
Svet_ta [11.3K]2 days ago
3 0

Answer:

Circle diameter = 1.6 Cm

Detailed explanation:

Information provided:

Distance from the first to the third coin = 3.2 cm

Question to solve:

What is the diameter of each coin?​

Calculations:

Total number of circles = 3

According to the diagram, the space between the first and third coins measures 3.2 cm.

Thus,

Space = radius of the 1st circle + diameter of the 2nd circle + radius of the 3rd circle

Space = radius of the 1st circle + 2 (radius) + radius of the 3rd circle

Space = R + 2R + R

3.2 Cm = 4 R

Radius = 0.8 Cm

Diameter = 2 × radius

Diameter = 2 × 0.8

Diameter = 1.6 Cm

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A plane ticket barcelona costs £175 the price decreases by 6% work out the new price
Svet_ta [11340]

Answer: £164.50

Reducing 175 by 6% results in 164.5.

The absolute change is:

164.5 - 175 = -10.5

Step-by-step explanation:

The calculation is as follows:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% of 175 =

(1 - 0.06) × 175 =

0.94 × 175 =

94 ÷ 100 × 175 =

94 × 175 divided by 100 =

16,450 ÷ 100 =

164.5

So, the final amount is £164.50

6 0
1 month ago
Read 2 more answers
A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
Svet_ta [11340]

Answer:

f(x)=120000 \times (1.055)^{x}

Step-by-step explanation:

The present value of the house is $120,000 and the interest rate is 5.5%, or 0.055.

We will utilize the following equation:

f(x)=P \times (1+r)^{x}

where P represents the present value, r symbolizes the interest rate, and x refers to the number of years.

By inputting the values into the above equation, we can obtain:

f(x)=120000 \times (1+0.055)^{x}

f ( x ) = 120000 \times ( 1.055 ) ^ { x }

8 0
8 days ago
Read 2 more answers
8439 divided by 245 with remainder
babunello [10225]
How often does 245 fit into 8? none.
into 84? none.
into 843? 3

Thus, the initial digit of the quotient is 3. Multiply 245 by 3 to obtain 735. Subtract this number from 843, resulting in 108. How many times does 245 go into 108?
none. Bring down a zero, creating 1080. How many times does 245 fit into 1080? 4, leaving a remainder of 100. And so forth.

Please attempt to work through this problem independently, manually.

________________
245 / 8439.00
-735
----------------

Can you complete this? Keep in mind that 843-735 equals 108. Now drop down a zero to make 1080. show your work.
7 0
9 days ago
Read 2 more answers
The scatterplot below shows the shoe sizes of students and the number of books the students collected for the library book drive
zzz [10956]

Respuesta:

B. Generalmente, el tamaño del zapato de un estudiante no influye en la cantidad de libros recolectados.

Explicación paso a paso:

6 0
6 days ago
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [11115]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
1 month ago
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