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Ivahew [28]
3 years ago
7

5. The vet tells Adam that his dog, Morris, needs to lose 12 kg. If Morris loses 5% of this amount per week, how many weeks will

it take him to lose the full 12 kg?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

  20 weeks

Step-by-step explanation:

5% = 0.05 = 1/20

If 1/20 of the weight is lost each week, it will take 20 weeks to lose all of it.

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A random number generator app on your phone generates two numbers between 0 and 8. What is the probability that the first number
aev [14]

Answer:

1/27

Step-by-step explanation:

There are 9 numbers between 0 and 8.  3 of them are less than 3 (0, 1, and 2), and 1 of them is 6.

The probability is therefore (3/9) (1/9) = 1/27.

8 0
2 years ago
Find the area of a triangle with a base of 18 feet and a height of 7 feet
amid [387]
.5*18*7=9*7=63 ft squared

4 0
3 years ago
Read 2 more answers
Convert 30,000 ML into L
lakkis [162]

Answer:

30 liters

Step-by-step explanation:

To me it's kind of like multiplying and dividing.

So, what I did was 30,000 divided by 30 and got 1,000.

1,000 x 30 = 30,000.

That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)

6 0
2 years ago
A fair coin will be tossed 3 times. What is the probability that one heads and two tails in any order will result?
ad-work [718]

Answer:

2

Step-by-step explanation:

If you toss a fair coin three times, these are the possible results.

HHH

HHT

HTH

HTT   <--------- one Heads, two Tails

THH

THT   <--------- one Heads, two Tails

TTH

TTT

Answer: 2

6 0
3 years ago
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 deg
julia-pushkina [17]

Answer:

Approximately 101\; \rm ft (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

  • Let \rm O denote the observer.
  • Let \rm A denote the top of the tree.
  • Let \rm R denote the base of the tree.
  • Let \rm B denote the point where line \rm AR (a vertical line) and the horizontal line going through \rm O meets. \angle \rm B\hat{A}R = 90^\circ.

Angles:

  • Angle of elevation of the base of the tree as it appears to the observer: \angle \rm B\hat{O}R = 51^\circ.
  • Angle of elevation of the top of the tree as it appears to the observer: \angle \rm B\hat{O}A = 57^\circ.

Let the length of segment \rm BR (vertical distance between the base of the tree and the base of the hill) be x\; \rm ft.

The question is asking for the length of segment \rm AB. Notice that the length of this segment is \mathrm{AB} = (x + 20)\; \rm ft.

The length of segment \rm OB could be represented in two ways:

  • In right triangle \rm \triangle OBR as the side adjacent to \angle \rm B\hat{O}R = 51^\circ.
  • In right triangle \rm \triangle OBA as the side adjacent to \angle \rm B\hat{O}A = 57^\circ.

For example, in right triangle \rm \triangle OBR, the length of the side opposite to \angle \rm B\hat{O}R = 51^\circ is segment \rm BR. The length of that segment is x\; \rm ft.

\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}.

Rearrange to find an expression for the length of \rm OB (in \rm ft) in terms of x:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}.

Similarly, in right triangle \rm \triangle OBA:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}.

Equate the right-hand side of these two equations:

0.810\, x \approx 0.649\, (x + 20).

Solve for x:

x \approx 81\; \rm ft.

Hence, the height of the top of this tree relative to the base of the hill would be (x + 20)\; {\rm ft}\approx 101\; \rm ft.

6 0
3 years ago
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