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777dan777 [17]
4 years ago
12

How many dots will be in the next term of the pattern?

Mathematics
2 answers:
DochEvi [55]4 years ago
6 0
From the information provided I would say 11 dots,14 dots, and 17 dots...
Hope this helps!
weeeeeb [17]4 years ago
4 0
So the rule is just to add 3, so all you do s add 3 to 8. 8+3=11.

The pattern continues, 2,5,8,11,14,17,20,23,26,29,32.....
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Seven yachts enter a race. First, second and third places will be given to the three fastest yachts. How
joja [24]

Answer: this my pp: 8===========================>

Step-by-step explanation:

8 0
3 years ago
A child walks due east on the deck of a ship at 4 miles per hour.
andrey2020 [161]
If you drew the two vectors for the velocity you find a triangle rectangle since the two directions East and North form an angle of 90°. I drew first the vector towards East and second the vector towards North.

Therefore, to get the speed relative to the surface you have to sum the two vectors, which means you can apply the Pythagorean theorem to find the hypotenuse, having the two legs.

h = √(4² + 12²) = √160 = 4√10 = 12.65mph

In order to find the direction, you need to use trigonometry: 
- the sine of an angle is given by the ratio between the opposite side divided the hypotenuse;
- the cosine of an angle is given by the ratio between the adjacent side divided by the hypotenuse.

You can use either one, I will show you both:
sinα = O / H
inverting the formula: α = arcsin (O / H) = sin⁻¹ <span>(O / H)
these two forms are equivalent.

Similarly:
cos</span>β = A / H
β = arccos (A / H) = cos⁻¹ <span>(A / H).

Substituting your numbers:
</span>α = sin⁻¹ (12 / 12.65) = <span>sin⁻¹ (0.9486) = 1.25rad
</span>β = cos⁻¹ (4 / 12.65) = cos⁻¹<span> (0.3162) = 1.25rad

As you can see, </span>α = β so you can use either formula.

Your answer will then be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 1.25rad from East towards North.

ATTENTION!
If you drew first the vector towards North and then the one towards East, you get an equivalent triangle, which is rotated by 180° respect to the previous one. This way, what you earlier called Opposite is now Adjacent and vice-versa, but the formulas are still valid.
You will get:
α = sin⁻¹ (4 / 12.65) = <span>sin⁻¹ (0.3162) = 0.32rad
</span>β = cos⁻¹ (12 / 12.65) = cos⁻¹<span> (0.9486) = 0.32rad
And your answer will be: </span><span>the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 0.32rad from North towards East.</span>
3 0
3 years ago
HELP PLZ PICK ONE OF THE ONES SHOWN:
defon

I am doing with Question Number 2

Let the two numbers be 'x' and 'y'.

According to the question, the product of two numbers is 14.

x \times y=14

So, xy=14 (Equation 1)

Now, one of the numbers is 3 ½ times the other.

So, x = 3\frac{1}{2}\times y

x=\frac{7}{2}y (Equation 2)

Substituting the value of 'x' from equation 2 in equation 1, we get

\frac{7}{2}y \times y = 14

\frac{7}{2}y^{2} = 14

y^{2} = 4

So, y= 2 and -2

So, x=\frac{14}{2} and x=\frac{14}{-2}

x=7 and -7

Numbers are 2,7 and -2,-7.

Sum of numbers 2 and 7 = 9

Sum of numbers -2 and -7 = -9.


6 0
3 years ago
If the beginning temperature was -13 degrees at 5:00 a.m. what was the temperature at 9:00 a.m
Aleks04 [339]

<u><em>Answer:</em></u>

-23.4 at 9:00 a.m.

<u><em>Step-by-step explanation:</em></u>

Make a ratio with the given numbers: -13, 5.

I believe the "common number" for the ratio of 1 a.m. would be:

2.6<u> : </u>1 times 9 = 23.4<u> </u><u>:</u><u> </u>9

7 0
4 years ago
Your apartment is at (0, 0) on a coordinate plane. You want to go to Chicken Shack (CS) and get some tasty chicken tenders, with
Ainat [17]

Answer:

The answer is below

Step-by-step explanation:

The distance between two points on a coordinate plane is given by:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:

|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units  \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units

Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack

total distance travelled = AB + BC + AC = 4√2 + 7 + 5

total distance travelled = 17.66 units

4 0
3 years ago
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