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kolezko [41]
3 years ago
15

Please Help with angles!

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Step-by-step explanation:

003:

To solve this, we'll be using the Pythagorean theorem, a^2+b^2=c^2

a^2+8^2=15^2\\a^2+64=225\\a^2=161\\a = \sqrt{161}

004:

For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/\sqrt{161}.

005:

From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be \sqrt{161}/15.

Answer:

003: \sqrt{161}

004: 8/\sqrt{161}

005: \sqrt{161}/15

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HELP DUE IN 15 MINS!
boyakko [2]

Answer:

r = 2\sqrt{5}

(x - 3)^{2} + ( y - 2)^{2} = 20

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

r^{2} = {(3 - 5)^{2} + (2 + 2)^{2}  }

    =  (-2)^{2} + 4^{2}

    =  4 + 16 = 20

r = \sqrt{20 } = 2\sqrt{5}

Equation of circle:   (x - 3)^{2} + ( y - 2)^{2} = 20

8 0
2 years ago
Read 2 more answers
after sharing a pizza you and two friends divide the cost by three. You each owe $2.66. Explain how to round this to the nearest
Stolb23 [73]

Answer:

Hi so you have the answer          

Say you have 1.23 if the last digit is under 5 it would be 1.20                

Now say you have 3.47 if the last digit is above 5 it would be 3.50    

If it is something like 4.45  the 5 is the last digit so it would be 4.50

Step-by-step explanation:

um hope this helped :)

7 0
2 years ago
Sarah is 6 years older than Amy.
Umnica [9.8K]

Answer:

B.

Step-by-step explanation:

The problem has got to be addition.

The sentence "Sarah is 6 years older than Amy." does not include any hint of subtracting, or multiplying.

A hint of multiplying in a expression would be the word 'times', like "Brandon is 6 times the age of Emily" which eliminates D.

A hint of subtraction in an expression would be the word 'less', like "Brandon is 6 less the age of Emily." which eliminates A and C.

The word 'older' indicates addition, or adding, and if it would have been subtraction, the keyword would be 'younger' because you are subtracting their age, like 19 - 11. The same goes with B, but adding.

Finally, we now know that it is B because there is no other addition choice.

I hope this helped. Please correct me if I am wrong.

8 0
3 years ago
The mean number of words per minute (WPM) typed by a speed typist is 149 with a standard deviation of 14 WPM. What is the probab
Troyanec [42]

Answer:

78.81%

Step-by-step explanation:

We are given;

Population mean; μ = 149

Sample mean; x¯ = 147.8

Sample size; n = 88

standard deviation; σ = 14

Z-score is;

z = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

z = (147.8 - 149)/(14/√88)

z = -0.804

From z-distribution table attached, we have; p = 0.21186

P(X > 147.8) = 1 - 0.21186 = 0.78814

In percentage gives; p = 78.81%

6 0
2 years ago
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Sphinxa [80]

Answer:

The limit does not exist

Step-by-step explanation

For this question you have to look at the function and see what y value does it approach as it gets closer and closer to x =2, from the left side it looks like it approaces 4 and from the left side it looks like it's approaching 1, since the limits from the left and right sides are not the same, the limit does not exist

5 0
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