If the function for predicting the growth of a population is F = 4.9(1.014)t. Based on the function, which statement accurately describes the growth rate?

A. The population is growing at a rate of 1.4%.
B. The population is growing at a rate of 4.9%.
C. The population is growing at a rate of 0.014%.
D. The population is growing at a rate of 0.14%.

Answer:

1. ASA, 2. SSS, 3. ASA

Step-by-step explanation:

1. It is given to us that these two triangles share two of the same angles. We can also see that they share a side together. 2 angles and a side means ASA.

2. It is given to us that these two triangles share two of the same side lengths. We can also see that they share a side together. 2 sides gives us SSS.

3. It is given to us that these two triangles share 1 of the same angles and 1 of the same side lengths. We can also see that they share a vertical angle, which by definition means they have the same measurement. 2 angles and a side gives us ASA.

69

Step-by-step explanation:

angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom

180 - 111 = 69

Answer:

The answer will be 69

This is because angle 3 would also be 111

Angles in a quadrilateral add up to 360

So, 360-(111+111)

=138

there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.

Hope this helps!!

Answer:

Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.

Step-by-step explanation:

Answer:

[tex]x - 15 = 42 \\ x = 57[/tex]

Answer:

x = 57

Step-by-step explanation:

x - 15 = 42.

Add 15 to each side

x - 15+15 = 42+15

x = 57

Answer:

Total pay=$288.64

Step-by-step explanation:

Giving the following information:

Hourly rate= $8.125

Number of hours worked= 35.525

To calculate the total pay of the week, we need to use the following formula:

Total pay= hourly rate * number of hours worked

Total pay= 8.125*35.525

Total pay=$288.64

Answer:

i hope this helps:)

Step-by-step explanation:

Answer:

[tex] {b}^{o} = {118}^{o} [/tex]

Step-by-step explanation:

Hint :

Sum of angles = 180°

Simplify :

[tex] {29}^{o} + {33}^{o} + {b}^{o} = {180}^{o} [/tex]

[tex] {62}^{o} + {b}^{o} = 180^{o} [/tex]

[tex] { b}^{o } = {180}^{o} - {62}^{o} [/tex]

[tex] {b}^{o} = {118}^{o} [/tex]

Answer:

75.36 yd² (≈ 75.4 yd²)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THI QUESTION :-

Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

SOLUTION :-

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

                              [tex]= \frac{135}{360} \times \pi (8)^2[/tex]

                              [tex]= \frac{3}{8} \times 64 \times 3.14[/tex]

                              [tex]= 3 \times 8 \times 3.14[/tex]

                              [tex]=75.36 \; yd^2[/tex]

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]

It would take Stephan 5.25 minutes to run a mile

[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

Answer:

Keisha can run faster

Step-by-step explanation:

Stephan can run

3 miles in 15.75 min.

so divide  15.75 by 3 min which would give you:

5.25 mi.

Now Keisha can run

 5 miles in226 min  

now divide 22.6 by 5 min which would give you

4.52 min

so that means Stephan can run faster then Keisha since 4.52<5.25

Keisha can run faster, since  4.52<5.25

Answer:

1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11

Step-by-step explanation:

Give me brainiest answer please! :D

Answer:

Step-by-step explanation:

2/3 x 14 = 28/3 = 9 1/3 hours in two weeks

Answer:

My best guess is because of so many different factors whether they're envirornmental or himself or anything is possible.

Please mark as Brainliest

Hope this Helps

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5[tex]\sqrt{3}[/tex]

Answer:

125 ov?/70*5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

70+5f=125. [exterior angle is equal to sum of interior opposite angles]

5f=125-70

5f=55

f=11

Answer:

A) DC equals EC times AC all over BC.

Step-by-step explanation:

We know that:

[tex]DE\parallel AB[/tex]

Then by corresponding angles:

[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]

So, by AA-Similarity:

[tex]\Delta CDE\sim \Delta CAB[/tex]

Corresponding sides of similar triangles are in proportion. Hence:

[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]

By multiplying both sides by AC:

[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]

DC is equal to EC times AC over BC.

Hence, our answer is A.

Answer:

 DC equals EC times AC all over BC

Step-by-step explanation:

Answer:

THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK

Answer:

Step-by-step explanation:

Hope this help!!!

Have a nice day!!!

The angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

The tangent function to find the angle between the end of the shadow and the vertical side of the building. Let x be the measure of the angle, in degrees. Then:

tan(x) = opposite/adjacent

tan(x) = 230/80

tan(x) = 2.875

To solve for x, we take the inverse tangent of both sides:

x = tan⁻¹(2.875)

x ≈ 70.4

Therefore, the angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

To know more about an angle follow

https://brainly.com/question/13959018

#SPJ2

Answer:

the anwser is b

Step-by-step explanation

you need to replace the letters with the numbers and youll see

Answer:

12:5

Step-by-step explanation:

Answer:

[tex]c=108.17[/tex]

Step-by-step explanation:

Use Pythagoras theorem to find the hypotenuse:

[tex]c^{2} =a^{2} +b^{2}[/tex]

In this question, take "b" as 90' and "a" as 60'

[tex]c^{2} =60^{2} +90^{2}[/tex]

[tex]c^{2} =3600+8100[/tex]

[tex]c^{2} =11700[/tex]

[tex]c=\sqrt{11700}[/tex]

[tex]c=108.1665383[/tex]

[tex]c=108.17[/tex]

I hope this helps.....

Answer:

Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.

Answer:

62.8 inches

Step-by-step explanation:

c = πd

c = 3.14 * 20

c = 62.8 inches

Answer:

70

Step-by-step explanation:

area = l×w×h

area= l×h

2l×2h

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that [tex]h = 12, r = 1.5[/tex]

What is its volume?

[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]

It's volume is of 84.78 cubic inches.

Answer:

Let the angle is x.

We have:

Since 9.5° > 8.5° it is not acceptable.

If the angle is 8.5° and the height is x, then we have:

The height is at most 13.45 ft