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Debora [2.8K]
3 years ago
8

Find a of this angle.

Mathematics
2 answers:
gladu [14]3 years ago
7 0
A is 85 ° because 2x is 38, 38 + 57 is 95 ° and 180-95 is 85 °
Mice21 [21]3 years ago
6 0

In a triangle, the total angle is 180 degrees. A straight line is always 180 degrees. With this in mind, the following can be obtained:

a + 2x + {57}^{o}   =  {180}^{o}  \\ 5x + a =  {180}^{o}

These are simultaneous equations.

a + 2x +  {57}^{o}  = 5x + a \\ 3x =  {57}^{o}  \\ x =  {19}^{o}  \\ 5x + a =  {180}^{o} \\ 5( {19}^{o}  ) + a =  {180}^{o}  \\ a =  {85}^{o}

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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert
andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

At=\frac{\pi }{4} (14ft)^2=153.93ft^2

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

\frac{116.36}{153.93} *100=75.6

percentage of the total capacity is 75.6%

3 0
3 years ago
I can’t explain look at picture
const2013 [10]

Answer:

x = 12.48

y = 13.22

Step-by-step explanation

Im not sure if its correct

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = √156

b = 12.48

b= 12 ( If needed to round to the nearest whole number)

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = √175

a = 13.22

a = 13 ( If needed to round to nearest whole number)

3 0
3 years ago
A hair dryer has a resistance of 11. 5. What current does it conduct when it is plugged into a wall outlet that provides 120 V?
Nata [24]

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

<h3>Ohms law</h3>

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required

Current I

Substitute

I = V/R
I = 120/11.5
I = 10.4A

Hence  the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

Learn more on ohms law here:brainly.com/question/14296509

#SPJ1

6 0
2 years ago
Drag the slider to see the number of water lilies in
Misha Larkins [42]

Answer:

0 days:  

4

1 day:    

4

2 days:  

5

3 days:  

6

4 days:  

6

5 days:  

7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Is it possible to have a triangle with two right angles? Explain your reasoning.
Black_prince [1.1K]

Answer and Explanation:

Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

6 0
3 years ago
Read 2 more answers
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