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irga5000 [103]
3 years ago
8

Find the measure of x:

Mathematics
2 answers:
Katen [24]3 years ago
6 0

Answer:

x = 13

Step-by-step explanation:

You should note that any straight angle like those = 180° where they provided supplementary angles where the sum = 180°

(11x - 15) + (5x - 13) = 180°

Combine like terms:

16x - 28 = 180°

Add 28 on both sides:

16x = 208

Divide 16 on both sides:

x = 13

andrezito [222]3 years ago
4 0

Answer:

Hello! answer: 13

Hope that helps!

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Solve -3/5+1/5>7/20 Drag and drop a number or symbol into each box to show the solution.
Korolek [52]
Not sure what you mean by drag and drop but Im going to attempt this.

-3/5 = -12/20
1/5 = 4/20

That makes no sense. It should be -8/20 < 7/20?


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What is the answer to 64+(-15)+(-5)
MissTica

Answer:

44

Step-by-step explanation:

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What is the slope of the line that passes through the points (8,8) and
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Answer:

\frac{5}{6}

Step-by-step explanation:

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The four corners of a rectangle at the points (-3,-4), (5,-10), (-3,-10), and (5,-4) on a coordinate plane. How many square unit
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Check the picture below, you can pretty much count the units off the grid for the length and width.

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3 years ago
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
3 years ago
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