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3 years ago

12. The circumference of a quarter is about 76 mm. What is

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

Answer: A= 460 mm2

Step-by-step explanation:

Hi, since the circumference formula is :

C = 2 π r

Where r is the radius, we can solve the formula for the radius replacing with the value given:

76 =2 π r

76 / (2 π) = r

r = 12.1 mm

Now , we have to apply the formula for the area of a circle.

A = π r^2

A = π (12.1)^2

A= 459.96 mm2= 460 mm2 (rounded to the nearest tenth, since .9 is higher than .5)

Feel free to ask for more if needed or if you did not understand something.

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What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20

shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

$SA=bh+(s_1+s_2+s_3)H$

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

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$SA=2440$

Thus, the surface area of the triangular prism is 2440 m²

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3 years ago

Write an equation, and solve. Round your answer to the nearest cent.

VashaNatasha [74]

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

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3 years ago

I need help with both of them please!( Sample questions 13 and 14)

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3 years ago

Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

inna [77]

Answer:

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

$y = A\cdot e^{B\cdot x}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A, B$ - Coefficients.

If we know that $(x_{1}, y_{1}) = (7,12)$ and $(x_{2}, y_{2}) = (8,25)$ , then we get the following system of equations:

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If we divide (3) by (2), we calculate the value of $B$ :

$e^{B}=\frac{25}{12}$

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$B \approx 0.734$

And by (2), we determine the value of $A$ :

$A = 12\cdot e^{-7\cdot B}$

$A = 0.0704$

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