If a turtle walks 24 meters in 30 minutes, about how many minutes will it take the turtle to walk 36 meters?

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines.  We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

The lines are perpendicular.

Answer:

f(3) = 6

Step-by-step explanation:

F(3)=-(3)2+4(3)

f(3) = -6 + 12

f(3) = 6

The relation that is an inverse variation is the one in the first table:

x 2 4 6 8

f(x) 12 6 4 3

An inverse variation between two variables x and y can be written as follows:

y = k/x

Where k is a constant.

Notice that x is on the denominator, so, as x increases, the value of y decreases.

Now, for example if we use the values of the first table:

x 2 4 6 8

f(x) 12 6 4 3

The first pair is (2, 12)

Replacing that in the inverse variation formula we get:

12 = k/2

12*2 = k

24 = k

For the second pair (4, 6) we will get:

6 = k/4

6*4 = k

24 = k

And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).

So this is the correct answer.

Learn more about inverse variations:

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Answer:

Avg speed of the round trip = 2*10*2/(10+2) = 10/3 mi/hr

D = r*t = (10/3)*6 = 20 miles

--> 10 miles each way

--> 5 hours walking back.

She'll get bored doing that.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

y2-y1/x2-x1

0-5/4-3

-5/1

Answer:

can you provide more information and explain

Step-by-step explanation:

Answer:

32 and 40

Step-by-step explanation:

Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72

Equation:

2x + 8 = 72

2x = 64

x = 32

So now we know the smaller number is 32, so now add 8 and we get 40.

Therefore the 2 numbers are 32 and 40

Answer:The Answer is Answer is B

Answer:

that look like  complementry and supplementry angles

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Answer:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

Answer:

700.7

Step-by-step explanation:

You're looking for distance. So all you have to do is  18.2 x 28.5 and you'll get your answer.

Hope this helps. :)

The distance travelled 700.7 feet

given:

speed= 18.2 ft/ sec

time= 38.5 sec

So,

speed= Distance/ time

distance= speed * time

             = 18.2 * 38.5

             = 700.7 feet

Learn more about speed here:

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Answer:

quadrant l

Step-by-step explanation:

Answer:

D.

x and y are the terms think about the letters in the expression and those are the terms.

Answer:

-6, -2, |-6|, |-7| 10

Step-by-step explanation:

-1 1/5 * 6      -1 5/6 * 5

-1 6/30    divided by     -1 25/30

-4/30

i think thats the answer sorry if im wrong :(

Answer:

M= the slope or the gradient

B= the y-intercept

y= the output value

x= the input value

Step-by-step explanation:

Answer:

m = 2

b = 8

y = 2x+8

Answer:

Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k

Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.

6k>=30  Divide. 6/6 and 30/6 and your answer is 5

Answer:

27,36,45

Step-by-step explanation:

Pythagorean theorem

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

[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]

[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]

[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]

[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]

First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.

the first one:

the angle P =90⁰

the angle Q=90⁰

So you do the deduction:

360⁰-90⁰-90⁰-65⁰= 115⁰

the second one:

the angle F=60⁰

so you do the same thing as number one:

360⁰-60⁰-60⁰= 240⁰

240⁰/2= 120⁰

Voilà!

Answer:

D

Step-by-step explanation:

Answer:

157°

Step-by-step explanation:

X is the alternative angle or 157°

Hence, x=157°

Answer:

x<−6

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2.1x+2.9>15.5

Step 1: Subtract 2.9 from both sides.

−2.1x+2.9−2.9>15.5−2.9

−2.1x>12.6

Step 2: Divide both sides by -2.1.

−2.1x−2.1>12.6−2.1

x<−6

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

Answer:

7723 as a fraction is 7723/1

Step-by-step explanation:

Answer:

30 units ^2

Step-by-step explanation:

area of triangle = (base × height) / 2

Answer:

A. Angle Addition Postulate

Step-by-step explanation:

<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.

According to angle addition postulate, the measure of <AMB is the sum of these three angles.

Therefore, angle addition postulate justifies Allison's statement that states:

<AMC + <CMD + <DMB = <AMB.

Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.

Segment addition nor construction of an angle bisector do not also justify his statement.

The right answer is: A. Angle Addition Postulate.

Answer:

They're both equal each other!

Step-by-step explanation:

Because 32/6 is 5.33... on the calculator and when you divide 192/36 is 5.33 and so on. X = 6 is the solution because both of these divisors equal each other!!! Hope this helps!