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3 years ago

Need help with this question!

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

w<= -5

Step-by-step explanation:

w <= -5

If w = -5 ; -5 + 4 = -1 = -1

If w= -6 ; -6 + 4 = -2 < -1

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If aa skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point. How high is the ramp?

guapka [62]

The height of the ramp is 9 meter

Solution:

It is given that a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point.

If we look at the sum, closely we understand that the ramp is a right angled triangle.

Which has a base length of 12 metres and a hypotenuse of 15 metres.

We need to find its height.

To do so we can use the Pythagoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, we get

$\text {Hypotenuse}^{2}=\text {height}^{2}+\text { base }^{2}$

Since we already know the lengths of the hypotenuse and base we can substitute them in the formula and solve for the height.

Let height of the ramp be denoted by ‘h’

$\begin{array}{l}{15^{2}=12^{2}+h^{2}} \\\\ {225=144+h^{2}} \\\\ {225-144=h^{2}} \\\\ {81=h^{2}} \\\\ {h=\sqrt{81}} \\\\ {h=9}\end{array}$

Therefore, the height of the ramp is 9 meter

3 0

3 years ago

This is k 12 help, please!!! for (100 points)

Vlad1618 [11]

Answer:

3rd option - 14 m²

Step-by-step explanation:

First we know that the square's area will be 2×2 = 4

To calculate the area of a triangle we know the vertical height is 2.5 and the base length is 2 so we can use the formula b×h/2 to give the area of one triangle:

2.5×2 = 5

5÷2 = 2.5

So the area of 1 triangle is 2.5 m²

Since there are 4 triangles we multiply the area of 1 traingle by 4:

2.5×4 = 10

We add the area of the 4 triangles to the area of the square to give our final answer of :

10 + 4 = 14

14 m²

3 0

2 years ago

Read 2 more answers

Suppose a study of population 400,000 has been growing at rate of 7% per year if this rate continues find the population of this

inessss [21]

Answer:

680,000

Step-by-step explanation:

Population before growing rate: 400,000

Growing rate: 7%

Duration: 10 years

___

First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.

400,000 x 7/100 = 28,000

So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.

28,000 x 10 = 280,000

This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.

400,000 + 280,000 = 680,000

4 0

3 years ago

Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2

Leya [2.2K]

Triangular Number Sequence

This is the Triangular Number Sequence:

1, 3, 6, 10, 15, 21, 28, 36, 45, ...

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

The rectangles are n high and n+1 wideand xn is how many dots in the triangle (the value of the Triangular Number n)

And we get (remembering we doubled the dots):

2xn = n(n+1)xn = n(n+1)/2

Rule: xn = n(n+1)/2

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0

3 years ago

Read 2 more answers

I need some help with this one I'm lost!

SpyIntel [72]

Answer:

-334

Step-by-step explanation:

tyes sfdfa d

3 0

3 years ago