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pishuonlain [190]
3 years ago
11

How to solve this equation of the missing sides of the triangle

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Step-by-step explanation:

Given is a 45°-45°-90 ° angled triangle.

By 45°-45°-90 ° angled triangle theorem:

side opposite to 45° angle is \frac{1}{\sqrt 2} times of hypotenuse.

\therefore \: 7 =  \frac{1}{ \sqrt{2} }  \times m \\  \\   \huge \red{ \boxed{\therefore \: m \:  = 7 \sqrt{2}  \: units}} \\  \\ n \:  =  \frac{1}{ \sqrt{2} }  \times m \\  \\  \therefore \:n \:  =  \frac{1}{ \sqrt{2} }  \times 7 \sqrt{2} \\ \huge \purple{ \boxed{\therefore \:n \:  =   7 \: units}} \\

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andrew11 [14]
A, C, B, B, D, C here you goo
7 0
3 years ago
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Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

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4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

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3 years ago
(a) A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of g
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Answer:

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Step-by-step explanation:

The μ formula is:

μ= ΣXi/N

ΣXi= is the sum of each xi. xi is each observation in the sample.

N= Total number of observations.

For this case:

ΣXi= 125+103+118+ 109+ 122+ 82+ 99+ 138+ 151+ 149

ΣXi= 1196

N= 10

μ= 1196/10

μ= 119,6

In average, houses in the particular area use 119,6 therms of gas during the month of January.

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4 years ago
Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a p
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Answer:

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Will get the equation is

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