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Alinara [238K]
3 years ago
7

A cone shaped roof has a diameter of 12 feet a height of 8 feet and a slant of the roof is 10 feet if the roofing cost a total o

f $3089.76 how much does it cost per square feet
Mathematics
1 answer:
vitfil [10]3 years ago
3 0

Answer:

c = 16.392\,\frac{USD}{ft^{2}}

Step-by-step explanation:

The surface area of the cone shaped roof is:

A_{s} = \pi\cdot (10\,ft)\cdot (6\,ft)

A_{s} \approx 188.496\,ft^{2}

The cost of roofing per square feet is: (USD stands for US dollar)

c = \frac{3089.76\,USD}{188.496\,ft^{2}}

c = 16.392\,\frac{USD}{ft^{2}}

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2) 4 6 2 3 If L= | 5 8 and M= 1 4 3 -2 -5 3 3 Find L-M -)) 2 4 8 A ) 3 4 5 2 3 B) 4 4 8 -5 6 9 o 6 12 -2 1 6 6 2 D) 9 12 1​
Misha Larkins [42]

\\ \sf\longmapsto L-M

  • Put values

\sf \left[\begin{array}{cc}\sf 4&\sf 6\\ \sf 5 &\sf 8 \\ \sf 3 &\sf -2\end{array}\right]-\left[\begin{array}{cc}\sf 2&\sf 3\\ \sf 1 &\sf 4 \\ \sf -5&\sf3\end{array}\right]

Just substract corresponding terms

\\ \sf\longmapsto \left[\begin{array}{cc}\sf 2 &\sf 3\\ \sf 4&\sf4\\ \sf 8&\sf -5\end{array}\right]

Option B

6 0
2 years ago
Write the equation of the line in fully simplified slope-intercept form.
fiasKO [112]

y = -\frac{1}{2}x - 1

Step-by-step explanation:

Let's pick two points on the line: P_1(-4, 1) and P_2(2, -2). Let's calculate the slope of this line using these points:

m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}

With this value of the slope, we can write the general slope-intercept form of the equation as

y = -\frac{1}{2}x + b

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1

Therefore, the slope-intercept form of the equation is

y = -\frac{1}{2}x - 1

6 0
2 years ago
Rory's battery was full at 6:00 a.M, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three o
Taya2010 [7]

Complete question:

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.

12:00 p.m.

3:00 p.m.

5:00 p.m.

8:00 p.m.

11:00 p.m.

The graph is attached

Answer:

3:00 p.m

5:00 p.m

11:00 p.m

Step-by-step explanation:

From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).

The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.

We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6

From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.

Converting from 24 hr to 12 hr time, we have:

6 + 8hrs = 14:00 = 2:00 p.m

6 + 9hrs = 15:00 = 3:00 p.m

6 + 10 hrs = 16:00 = 4:00 p.m

6 + 11 hrs = 17:00 = 5:00 p.m

6 + 12 hrs = 18:00 = 6:00 p.m

6 + 16 hrs = 22:00 = 10:00 p.m

6 + 17 hrs = 23:00 = 11:00 p.m

6 + 18 hrs = 00:00 = 12:00 am

6 + 19 = 1 : 00 = 1:00 a.m

6 + 20 = 2:00 = 2:00 a.m

From the options given in the question, we have:

3:00 p.m; 5:00 p.m; 11:00 p.m

Therefore, times could Rory's phone have been plugged into the charger are:

3:00 p.m

5:00 p.m

11:00 p.m

5 0
3 years ago
Question 18 plz help <3
Karolina [17]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
9th grade Quizziz help please
jenyasd209 [6]

Answer:

a²+7a+10

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a(a+5)+2(a+5)

(a+5)(a+2)

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3 years ago
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