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Kay [80]
3 years ago
5

(Help plz)

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

86.7 ft²

Step-by-step explanation:

arc area = area of the circle x ( arc angle measure / 360°)

area of the circle = 65 / (270/360) = 86.67 ft²

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Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
Log (3x+1) - Log (2x+5)= 1​
sleet_krkn [62]

Answer:

\huge \red { \boxed{x =  -  \frac{49}{17}}}

Step-by-step explanation:

log(3x + 1) - log(2x + 5) = 1 \\  \\ log  \: \frac{3x + 1}{2x + 5}  = log \: 10..( \because \: log \: 10 = 1) \\  \\  \frac{3x + 1}{2x + 5}  = 10 \\ \\  3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\  \\  - 17x = 49 \\  \\ x =  \frac{49}{ - 17}  \\  \\  \huge \purple{ \boxed{x =  -  \frac{49}{17}}}  \\

6 0
3 years ago
Please help with problems 2-6
Airida [17]

Answer:

3. 20/20

4. 45/21

5. 7/14

6. 3 to 1

I hope this helps!

4 0
3 years ago
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumpi
elena-14-01-66 [18.8K]

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927

5 0
3 years ago
Magnitude of an earthquake : M = log
Gnoma [55]

Answer

4

Step-by-step explanation:

5 0
3 years ago
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