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2 years ago

Need help pls............

Mathematics

2 answers:

Elanso [62]2 years ago

4 0

She doesn’t have enough

Colt1911 [192]2 years ago

3 0

She does not have enough wire

Step-by-step explanation:

The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.

She has in possession a 5 ft of copper to construct a circle inscribe in a square.

The square is 9 inch length.

Perimeter of the square = 4L

where

L = length

Perimeter of the square = 4 × 9

Perimeter of the square = 36 inches

Circumference of a circle = 2πr

r = diameter/2 = 9/2 = 4.5 inches

Circumference of a circle = 2 × π × 4.5

Circumference of a circle = 2 × 4.5 × 3.14

Circumference of a circle = 9 × 3.14

Circumference of a circle = 28.26 inches.

The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.

She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.

12 inches = 1 foot

64.26 inches = ?

cross multiply

wire required for the sculpture = 64.26/12

wire required for the sculpture = 5.355 ft

She does not have enough wire.

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What is 7/8 minus 1/4?

erastovalidia [21]

7/8 -1/4
= 7/8 -2/8
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The final answer is 5/8~

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2 years ago

The nth term of a sequence is 25-3n

Komok [63]

Answer:

22, 19, 16 and - 5

Step-by-step explanation:

To evaluate any term from the n th term formula substitute the terms position value for n

given $a_{n}$ = 25 - 3n, then

(a)

$a_{1}$ = 25 - (3 × 1) = 25 - 3 = 22

$a_{2}$ = 25 - (3 × 2) = 25 - 6 = 19

$a_{3}$ = 25 - (3 × 3) = 25 - 9 = 16

(b)

$a_{10}$ = 25 - (3 × 10) = 25 - 30 = - 5

5 0

2 years ago

Read 2 more answers

The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. A) Use differentials to estimate the max

siniylev [52]

Answer:

A) The maximum error in the calculated surface area: $25cm^2$

Relative error: $0.013$

B) The maximum error in the calculated volume: $162cm^2$

Relative error: $0.019$

Step-by-step explanation:

A) The formula for the surface area is:

$A=4\pi r^2$

The measured value is the circumference which is equal to:

$C=2\pi r$

then the radius is:

$r=\frac{C}{2\pi}$

Substituting in the formula of the surface:

$A=4\pi(\frac{C}{2\pi})^2\\A=4\pi(\frac{C^2}{4\pi^2})\\A=\frac{C^2}{\pi}$

Using the formula to calculate the error:

$dy=f'(x)dx$

Where $x$ is the variable measured and $y$ is a function of $x$ ( $y=f(x)$ ).

$dA=f'(C)dC\\dA=\frac{2C^{(2-1)}}{\pi}dC\\dA=\frac{2C}{\pi}dC$

We have C=80cm and dC=0.5cm

$dA=\frac{2C}{\pi}dC\\dA=\frac{2(80)}{\pi}(0.5)\\dA=\frac{160}{\pi}(0.5)\\dA=50.9296(0.5)\\dA=25.4648\approx25cm^2$

The relative error is the maximum error divide by the total area. The total area is: $A=\frac{C^2}{\pi}=\frac{(80)^2}{\pi}=\frac{6400}{\pi}=2037.1833cm^2$

$\frac{dA}{A}=\frac{25.4648}{2037.1833} =0.0125\approx0.013$

B) The formula for the volume is:

$V=\frac{4}{3} \pi r^3$

Using $r=\frac{C}{2\pi}$

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (\frac{C}{2\pi})^3\\V=\frac{4}{3} \pi (\frac{C^3}{8\pi^3})\\V=\frac{1}{3}(\frac{C^3}{2\pi^2})\\V=\frac{C^3}{6\pi^2}$

The maximum error is:

$dV=\frac{3C^{3-1}}{6\pi^2}dC\\dV=\frac{C^{2}}{2\pi^2}dC\\dV=\frac{(80)^{2}}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=(324.2278)(0.5)\\dV=162.1139\approx162cm^2$

The calculated volume is:

$V=\frac{C^3}{6\pi^2}\\V=\frac{(80)^3}{6\pi^2}\\V=\frac{512000}{6\pi^2}\\V=8646.0743$

The relative error is:

$\frac{dV}{V}=\frac{162.1139}{8646.0743}=0.0188\approx0.019$

3 0

2 years ago

3x – 2y = 17 <br> –2x – 5y = 14 <br> Solve using Elimination Please show work

OleMash [197]

Answer:

The solution is x=3 , y=-4 or (3,-4)

Step-by-step explanation:

Given equations (1 and 2) are:

$3x- 2y = 17\\-2x -5y = 14$

To solve a system of equation with elimination method, the co-efficients of one of the variables has to be equated and then the equations are added or subtracted to get an equation in one variable.

Multiplying equation 1 by 2:

$2(3x-2y) = 2*17\\6x-4y = 34\ \ \ \ \ Eqn\ 3$