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Harman [31]
3 years ago
8

Enter the distance between the two buoy's rounded to the nearest foot. ​

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:

483 feet.

Step-by-step explanation:

Observe the triangle that is given to use. Next you want to find your adjacent, opposite, and hypotenuse of angle A. AB would be considered your adjacent because it is between angle A and your 90 degree angle, your opposite would be CB because it is directly across from angle A and AC is your hypotenuse because it is directly across your right angle.

Now with your given angle you want to use SOH CAH TOA to figure out what to use for this. You are given the length of AB, which is your adjacent. You want to also find the hypotenuse therefore you would use the CAH (Cosine, Adjacent, Hypotenuse).

You would want to then see this as cos(21.3)=\frac{450}{x} with x being your hypotenuse. Now you want to get x by itself so you would then set this up as 450/cos(21.3)=x. Put this in your calculator and it would equate to 482.992 which is rounded off to 483 feet.

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Select ALL the correct answers.
jolli1 [7]

Answer:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

   (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

   Option A is correct.

Option B:

   3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

   Option B is wrong.

Option C:

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   Option C is correct.

Option D:

   (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

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4 0
2 years ago
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
likoan [24]
Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple 

</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span> 
</span>
-> The apple ts 20% lighter than the grapefruit.
8 0
3 years ago
Read 2 more answers
the volume of jupiter is about 1.43×10^15 cubic kilometers. The volume of Earth is about 1.09×10^12 kilometers. The number of ea
Butoxors [25]

divide the volume of jupiter by the volume of earth

1.43*10^15/ 1.09*10^12

1.43/ 1.06 *10^(15-12)  divide the number, subtract the exponent

1.311926606 *10^3


7 0
3 years ago
Read 2 more answers
0.09 is one tenth of
liq [111]
<u>0.09</u> = <u>1 </u>
0.9      10

I hope this helps.

4 0
3 years ago
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Given f(x) = 4(x - 8), determine the value of f(10).
Ilya [14]

Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

Let x = 10

f(10) = 4 ( 10-8)

       = 4 ( 2)

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8 0
3 years ago
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