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viktelen [127]
2 years ago
14

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second. What

is the total depth of the penguin after 4 seconds?
A) -3.84 meters
B) -0.96 meters
C) - 1.92 meters
D) -2.88 meters
Mathematics
1 answer:
nevsk [136]2 years ago
8 0
3.84 meters because 2% of 48 is 0.96, 0.96*4, which is 3.84
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PLEASE HELP = simplify 3/4(-10+2/5)
solniwko [45]
There are many ways to do this depending on the property you have to use:

If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:

\frac{-30}{4}  -  \frac{6}{20}

Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:

\frac{-150+6}{20}

Now you can just add them together to get:
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and then simplify your fraction:
\frac{-36}{5} or - \frac{36}{5} 

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3 0
2 years ago
Given that tan^2 theta=3/8,what is the value of sec theta?
algol [13]

Answer:

The value of SecФ is  \pm \sqrt{\frac{11}{8}} .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = \frac{3}{8}

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So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( \sqrt{3} )² + ( \sqrt{8} )²

Or,  Hypotenuse² = 3 + 8 = 11

Or,  Hypotenuse = ( \sqrt{11} )

Now SecФ = \frac{Hypotenuse}{Base}

or, SecФ = \frac{\sqrt{11}}{\sqrt{8}} = \sqrt{\frac{11}{8} }

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

or, Sec²Ф = 1 +  \frac{3}{8}

Or, Sec²Ф = \frac{11}{8}

Or,  SecФ = \pm \sqrt{\frac{11}{8}}

Hence The value of SecФ is  \pm \sqrt{\frac{11}{8}} . Answer

7 0
3 years ago
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The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

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<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
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4 0
3 years ago
Decide whether the sequence 4,10,20,34,52 ....... is a linear model,
Alecsey [184]

Answer:

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Step-by-step explanation:

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20 to 34 = +14

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Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.

Therefore, since there is no quadratic or cubic relationship, the sequence is linear.

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Eight times a number increased by 6 is 62
N76 [4]
8x+6=62

8x=62-6

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The answer is 7. Hope this helps!
3 0
2 years ago
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