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adell [148]
3 years ago
10

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using d

ecimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0
I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.
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The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number s
patriot [66]

Answer:

96

Step-by-step explanation:

commom difference = d

a₆ + a₇ = 16

a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16

a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16

Similarly,

a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16

so

a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96

6 0
2 years ago
With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

6 0
3 years ago
Rounded to the nearest inch , what is the appoxiomate circumference of a circle with a diameter of 40 inches (Use pi = 3.14
sweet-ann [11.9K]
С = πD 
С = 3,14×40
С = 126 in ← <span>to the nearest inch </span>
3 0
3 years ago
2 tenths is equal to____ fifths
Sunny_sXe [5.5K]
To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.

2/10 = x/5

Now, we can use cross products to simplify this proportion.  Cross products sets the products of the numerator and denominator of separate fractions equal to one another.  It results in the equation:

(5)(2) = (10)(x)

Let's multiply out these numbers to further simplify the equation.

10 = 10x 

Finally, we have to divide both sides by 10, to get our variable x alone

x = 1

Therefore, 2 tenths is equal to 1 fifth.
5 0
3 years ago
Read 2 more answers
Find the length of the third side. If necessary, round to the nearest tenth.
viva [34]

Answer:

the question states if necessary, round the nearest tenth and by using the pythagoras theorem the answer should be 10 since its 9.21 and its nearest 10th is 10? im not quite sure though

5 0
1 year ago
Read 2 more answers
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