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3 years ago

A triangle has angles that measure 49° and 84°.

1 answer:

5 0

A plat angle measure 180° it means that A+B+C=180 Then if A=49° and B=84. ,A+B=133 Then if we make 180-133 we we would have 47

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Solve 3/2 + 1/2x =2x

kvv77 [185]

Answer:

x=1

Step-by-step explanation:

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3 years ago

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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.

Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0

3 years ago

25 POINTS I WILL GIVE BRAINLIEST Patty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The

Deffense [45]

Answer:

a) From the chart crated with Microsoft Excel, we have that the correlation coefficient, r = √0.8581 ≈ 0.93 to the nearest hundredth

The steps used includes

1) Inputting the given data into the cells on a Microsoft Excel spread sheet

2) Highlighting and sorting the data in the cells in order of increasing Rainfall

3) Generating a dot plot using the sorted data from above

4) Adding the trend line, Square of the linear regression, and the trend line equation

5) Adding the axis labels

(b) The correlation coefficient states that there is a strong positive correlation between the monthly rainfall and and Umbrella sales

Step-by-step explanation:

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2 years ago

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You have a loan for $200,000 at 8.5% annual simple interest. What is your monthly interest payment?

Sergeu [11.5K]

Answer:

c. 1,417

Step-by-step explanation:

200,000 (8.5%) = 17,000

17,000 / 12 = 1,416.67 or 1,417

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3 years ago

What is 7 5/12- 2 2/3

DIA [1.3K]

Answer:

-13/12

Step-by-step explanation:

75/12-22*4/3*4

75/12-88/12

-13/12

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2 years ago