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2 years ago

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This table shows the relationship between the bird population in a habitat and the time, in years, since a researcher began trac

king the bird population. (Determine which statement(s) is/are true.) (more than one can be chosen)
a. the grates increase in the bird population occurred between year 2 and year 3

b. the bird population increased the same amount each year

c. the bird population is always increasing

2 answers:

Luda [366]2 years ago

8 0

Answer:

Step-by-step explanation:

i believe it is c

ss7ja [257]2 years ago

6 0

Answer:

c

Step-by-step explanation:

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

Devon has $45 in his savings account. which equation can be used to determine how much devon needs to save in order to have $315

Georgia [21]

<span>He has 45 dollars. He needs 315 dollars in order for him to have 315 dollars he would to need to save what? Then take 315-45= 270 dollars. Therefore he would need to save 270 dollars.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>

6 0

3 years ago

Read 2 more answers

What is 3.4550 rounded to 1 decimal place? *<br><br> 3<br> 3.4<br> 3.46<br> 3.5

xenn [34]

Answer:

3.5 (D)

Step-by-step explanation:

focusing on the right side of the decimal, 5 rounds 5 to 6. 6 rounds 4 to 5. Anything 5 or above rounds up! So the .5 rounds 4 to 5, making the answer 3.5. So sorry if this doesn't make sense, its kind of hard to explain.

7 0

3 years ago

What is the approximate value of k?

lesya692 [45]

Hello from MrBillDoesMath!

Answer:

5.06

Discussion:

Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,

From the law of sines

sin(120)/k = sin(20)/2 =>

sin(120) = k * ( sin(20)/2) ) (multiply both sides by "k")

k = sin(120)/ ( sin(20)/2) (divide both sides by sin(20)/2)

k = (0.866) / ( 0.171) = 5.06

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

6 0

2 years ago

HELP AGAIN PLEASE I TRIED IT ON MY OWN AND FAILED :(

Alex787 [66]

Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°

<u>Step-by-step explanation:</u>

It is given that it is an Isosceles Triangle, where L J ≅ K J

It follows that ∠ K ≅ ∠ L

⇒ 5x + 24 = 4x + 31

⇒ x + 24 = 31

⇒ x = 7

Input the x-value into either equation to solve for ∠ K & ∠ L:

∠ K = 5x + 24

= 5(7) + 24

= 35 + 24

= 59

∠ K ≅ ∠ L ⇒ ∠ L = 59

Next, find the value of ∠ J:

∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem

∠ J + 59 + 59 = 180

∠ J + 118 = 180

∠ J = 62

8 0

3 years ago