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Vitek1552 [10]
3 years ago
5

What are the cardinal directions

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
North South East West
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Can someone please answer these questions?
Arisa [49]

Keep in mind that you can gather only like terms. Two terms can be summed/subtracted if they involve the same powers of the same variables.

So, going point by point:

  1. We can subtract the terms, because they both involve the variable b, and we have 3b-7b = (3-7)b = -4b
  2. We can sum the terms, because they all involve the variable a, and we have a+a-5a = (1+1-5)a = -3a
  3. We can't sum this terms: 3 is a pure number, while 3r involves the variable r.
  4. We can only sum the two terms: we have 7t-8t-8 = (7-8)t-8 = -t-8
  5. We can't sum this terms: -20 is a pure number, while -15p involves the variable p.
  6. We can sum the terms, because they all involve the variable g, and we have -g-g-g = (-1-1-1)g = -3g
7 0
3 years ago
GEOMETRY HELP! 1. Prove parallel lines have the same slope. Use lines r and s. Line s is a vertical translation of line r.
ch4aika [34]

Parallel lines are always straight so find the coordinates and then do y2-y1 over x2-x1 and it will be 0
7 0
3 years ago
For her exercise today, Keiko plans to both run and swim. Let r be the number of laps she runs and let s be the number of laps s
DerKrebs [107]

Answer:

5r + 3s ≥ 30

Step-by-step explanation:

We know Keiko wants to do exercise at least 30 minutes a day, and she wants ideally to mix up the activities, by combining running and swimming into her schedule.

Since each lap she runs takes 5 minutes and each lap she swims takes 3 minutes, these will be the left side of the inequality:

5r + 3s

She wants to exercise at least 30 minutes a day, so...

5r + 3s ≥ 30

she could do 3 laps of running and 5 laps of swimming for example.

6 0
3 years ago
Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?
Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Lets plug in the values:

A=5,000(1+\frac{0.12}{12})^{9(12)}

A=14,644.63

Tammy will own $14,644.63 after 8 years,

5 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION
Murljashka [212]

Answer:

The value of DC is 66.34.

Step-by-step explanation:

The triangles ABC and DCA are right angled triangles.

The straight line AC is a bisector for angles C and A.

The measure of ∠C is 30°.

Then the measure of angles BCA and ACD will be 15° each.

The measure of angle DAB is 150°.

Then the measure of angles DAC and BAC will be 75° each.

Now consider the right angled triangle ABC.

The measure of side AC is:

AC^{2}=AB^{2}+BC^{2}\\AC=\sqrt{AB^{2}+BC^{2}}\\=\sqrt{4^{2}+(10\sqrt{3})^{2}}\\=\sqrt{316}

Consider the right angled triangle DCA.

The angle DAC measure 75°.

Using the trigonometric identities compute the value of Perpendicular DC as follows:

tan\ 75^{o}=\frac{DC}{\sqrt{316}}\\\\DC=3.732\times\sqrt{316}\\\\DC=66.34

Thus, the value of DC is 66.34.

7 0
3 years ago
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