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Leviafan [203]
2 years ago
13

Help on this question please

Mathematics
1 answer:
Nina [5.8K]2 years ago
3 0

sin41 =  \frac{x}{111} then x = 72.8

According to sin rule

\frac{opposite}{hypotenus}

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Two trains leave stations 442 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour
Brrunno [24]

(75 + 95) \times x = 442

x =  \frac{442}{75 + 95}  = 2.6

so it takes 2.6 of hours which is the same as 2 hours and 36 minutes for them to reach eachother.

6 0
3 years ago
I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
3 years ago
Read 2 more answers
What is 10% of 360? 18 36 90 180
Snowcat [4.5K]

Answer:

36

Step-by-step explanation:

10% of 360=10/100*360=1/10*360=360/10=36

8 0
2 years ago
Read 2 more answers
How do i find this? HELP!
dezoksy [38]

Answer:

x= 11.66667

Step-by-step explanation:

ok the six is repeating but, basically multiply 5 times 7, then divide that by 3

4 0
3 years ago
Dan says he ran twice as far as Karim. Give three possibilities for the distances each could have run.
slamgirl [31]
These people never answer thesee
7 0
3 years ago
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