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sergij07 [2.7K]
3 years ago
13

Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers

(G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?

1
5
11
13
Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

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Which of the following is part of the solution to the trigonometric inequality sec(2x) <-1 over the interval 0
valentina_108 [34]

Answer:

c. 2pi/3

Step-by-step explanation:

Took the test and got it right

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3 years ago
Which angles are pairs of alternate exterior angles? Check all that apply.
Gnom [1K]
Answers: 
1. Angle 5 and angle 11
5. Angle 4 and angle 6

================================================

Explanations:

Let's go through the list of possible choices and check each one.

For each of these, I'll refer to the attached image. 

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

1. Angle 5 and angle 11

Note how I labeled the lines A through D (as well as color-coded them). Imagine if line A and line B were made to be parallel lines. Line D is the transversal cut that helps generate angle 5 and angle 11. We'll be focusing on this tranversal. Ignore line C entirely for now.

We can see that angle 5 and angle 11 are on the outside of the "parallel" train tracks that A and B form. That makes them exterior angles. The two angles are on alternate sides of the transversal cut line D. All together, they are alternate exterior angles. 

This is one of the answers

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

2. Angle 7 and angle 12

Again focus on only line A, B, and D. Ignore line C. Angle 12 is exterior but angle 7 is an interior angle. It is between the two "parallel" train tracks line A and line B. 

Cross this off the list.

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

3. Angle 11 and angle 16

This time we'll imagine that line C and line D can be rearranged to be parallel. Line B is the transversal cut we want. Ignore line A entirely.

Angle 16 and angle 11 are exterior angles with regards to the lines mentioned above; however, they do not alternate on opposite sides of line B. These two angles are same side exterior angles. 

Cross this off the list.

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

4. Angle 2 and angle 14

These two angles are corresponding angles. Imagine line A and B are laid parallel with line C as the transversal cut. 

Angle 2 and angle 14 are on the same side of the transversal cut. The two angles are both above their adjacent line (A and B)

Cross this off the list.

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

5. Angle 4 and angle 6

Imagine that line C and line D can be rearranged to be parallel. Line A is the transversal cut we want. Ignore line B entirely.

Based on that set up, we can see that angle 4 and angle 6 are indeed alternate exterior angles.

This is one of the answers

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

6. Angle 8 and angle 10

These are alternate interior angles. It might help to erase line C. It might also help to arrange line A to be parallel to line B. 

Cross this off the list.

8 0
3 years ago
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equ
alexdok [17]

Given :

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.

Its current value is $2,000.

To Find :

Age of car.

Solution :

Price of car after 1 year :

P_1=P_o(1-0.35)

Price of car after 2 year :

P_2=P_1(1-0.35)\\\\P_2=[P_o(1-0.35)](1-0.35)\\\\P_2=P_o(1-0.35)^2

So, price of car after n years.

P_n=P_o(1-0.35)^n

2000=16000(1-0.35)^n\\\\0.65^n=0.125\\\\n\times log(0.56)=log(0.125)\\\\n=\dfrac{log(0.125)}{log(0.56)}\\\\n=3.58

Therefore, age of car in nearest whole number is 4 years.

Hence, this is the required solution.

8 0
3 years ago
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