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pentagon [3]
3 years ago
12

Lucy wants to find out the number of frogs in a pond near her house. She catches 54 of them , puts the back in the pound. The ne

xt week, she catches 70 frogs. Of those 70 frogs, 13 have a leg band. Based on this informationm, what is a reasonable estimate of the number of frogs in the pond?
A. 208

B. 632

C. 291

D.111


PLZZZ HELP
Mathematics
2 answers:
dexar [7]3 years ago
8 0

yes my fren the answer is 111

olga55 [171]3 years ago
6 0
D. 111 because the leg band on the 13 she caught are frogs she caught on the batch of 54 so minus 13 from 70 to get 57 so she caught 54 first week and 57 new frogs next week so 111 in total
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4 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:

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6 0
3 years ago
Find the value of x.
Allisa [31]

A straight line is 180°, so you can do:

109 + ? = 180 (? is the top angle of the triangle)

? = 71°

Because the triangle is an isosceles triangle, the other angle is 71° too.

71 + 71 + ? = 180

? = 38

You subtract 38 with 90 to find the other angle.

90 - 38 = 52°

To find ∠2 you subtract 52 with 180.

180 - 52 = 128

∠2 = 128

128 = 11x + 18

110 = 11x

10 = x

5 0
3 years ago
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lys-0071 [83]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

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slope: m = 3/2

y-intercept: b = -3

x-intercept for y = 0. Substitute:

3/2 x - 3 = 0      <em>add 3 to both sides</em>

3/2 x = 3       <em>multiply both sides by 2/3</em>

x = 2

<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>

----------------------------------------------------------------

y = 3/2 x - 3 it's the same function like first function.

8 0
3 years ago
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