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Snowcat [4.5K]
3 years ago
14

A boat is 10 miles away from a lighthouse that sits on top of a coral reef with a 4 mile radius. At what angle does the captain

need to steer his boat so that he avoids the boat from colliding with the underwater coral? Round to the nearest tenth degree.
Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

n

Step-by-step explanation:

233

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Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
ollegr [7]

Answer:

f(4)=0


Step-by-step explanation:

<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial f(x)  by a linear factor  (x-a) , where a  is a constant, the remainder is f(x)  evaluated at x=a</em>

<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function f(x) is </em><em>0</em><em> when evaluated at x=a , then (x-a)  is said to be a factor of the polynomial f(x)</em>

Given the 2 theorems above, it follows that if (x-4)  is a factor of f(x) , then the remainder is equal to 0 when f(x) is evaluated at x=4

Which means f(4)=0

Third answer choice is correct.


3 0
3 years ago
Read 2 more answers
Two similar prisms have heights 4 cm and 10cm what is the ratio of their surface areas
Slav-nsk [51]
Let k be the scale factor relating two similar prisms P_{1} and P_{2}, such that for corresponding parts of prisms P_{1} and P_{2} (for heights, in particular) we have k= \frac{height\  of \ P_{1} }{height \ of\  P_{2} }. In our case k= \frac{4}{10} = \frac{2}{5}.
For surfaces area we have \frac{Surface \ area \ of \  P_{1} }{Surface \ area \ of \  P_{2}} = k^{2} =( \frac{2}{5} )^{2}= \frac{4}{25}.
So, the right answer is 4:25 (choice B)



4 0
3 years ago
I need help solving this
pentagon [3]
Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)

You have two points...(1,-2),(3,2) so

m=(y2-y1)/(x2-x1)=(2--2)/(3-1)

m=4/2=2 now that you have the slope...

y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)

2=2(3)+b

2=6+b

b=-4 so the line is:

y=2x-4
5 0
3 years ago
Find the sum of 0.482 and 482.3152
Airida [17]

Answer:482.7972

Step-by-step explanation:

7 0
3 years ago
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. *
damaskus [11]

Answer:

Yes

Step-by-step explanation:

Yes , if both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram . The parallelogram has opposite sides equal and parallel . Diagonals bisect each other . The sum of alternate angles is 180° and the opposite angles are equal .

6 0
3 years ago
Read 2 more answers
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