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Anvisha [2.4K]
3 years ago
7

A ship captain looks up at the top of a lighthouse at a 7 degree angle of elevation and calculates that he is 1221 feet from its

base. How tall is
the lighthouse, rounded to two decimal places?

123.01 feet
134.78 feet
149.92 feet
148.80 feet
Mathematics
1 answer:
Crank3 years ago
6 0
148.80 feet !!!!!!!!!!!
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All 4 questions please
scZoUnD [109]

Answer:

  1. π = S/2πrh
  2. v = √2E/m
  3. b = (-7a+c)/2
  4. x =3y-1

Step-by-step explanation:

1.

S = 2\pi rh\\Divide\:both\sides\:of\:the\:equation\:by\:2rh\\\\\frac{S}{2rh} = \frac{2 \pi rh}{2 rh} \\\\\pi = \frac{S}{2rh}

2.

E = \frac{1}{2} mv^2\\\\E = \frac{mv^2}{2} \\\\Cross\:multiply\\\\2E =mv^2\\Divide\:both\:sides\:of\:the\:equation\:by\:m\\\frac{2E}{m} = \frac{mv^2}{m} \\\\\frac{2E}{m} =v^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{\frac{2E}{m} } = \sqrt{v^2} \\\\\sqrt{\frac{2E}{m} } =v\\\\v =\sqrt{\frac{2E}{m} }

3.

7a+2b =c\\Isolate\:b\\\\2b =c-7a\\2b= -7a+c\\Divide\:both\:sides\:of\:the\:equation\:by \:2\\\frac{2b}{2} =\frac{-7a+c}{2} \\\\b = \frac{-7a+c}{2}

4.

y = \frac{1}{3} (x+1)\\\\y = \frac{x+1}{3}\\\\Cross\:multiply \\3y =x+1\\Isolate \:x\\3y -1=x\\\\x =3y-1

7 0
3 years ago
Lucas has 1/2 quart of milk. If he pours the same amount of milk into 8 glasses, how many quarts of milk will each glass contain
Natali5045456 [20]

Answer:

16 quarts of milk in each glass

Step-by-step explanation:

8 divided by 1/2 is 16

5 0
3 years ago
Hich of the following are the coordinates of the vertex of y = x2 − 10x + 2?
ANEK [815]
The vertex is in essence the turning point of the parabola y = x²<span> − 10x + 2

the x coordinate of the turning point = </span>- \frac{b}{2a}
                                                         = - \frac{-(10)}{2(1)}
                                                         =  5

when x = 5, y = (5)² - 10(5) + 2
                      = -23

Thus coordinate or vertex is ( 5, -23)

6 0
3 years ago
What is the unit rate if there are 258 purple polka-dot pencils in 3 purple polka-dot purses?
stiks02 [169]
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next. 258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
4 0
3 years ago
Roslyn has $25.65 in the bank. She purchased a new shirt for $10.83 and shoes for $8.96. Then she babysat and made $20.35, which
tensa zangetsu [6.8K]

Answer:

$26.21

Step-by-step explanation:

add the shoes and shirt together and get $19.59 then subtract that to the $25.65

then you will get the remaining amount of money of $5.86.

then do this 20.35-5.86=$26.21

4 0
3 years ago
Read 2 more answers
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