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2 years ago

Please help :( Calculate each mountain path grade to the nearest percent.

1 answer:

8 0

The grade of the path in the mountain is calculated by determining first the ratio between the rise over the run and multiplying the ratio by 100%.

For Path A:

grade = (rise / run) x 100%
grade = (1414/ 3535) x 100% = 40%

<em>Answer: 40%</em>

For Path B:
grade = (rise / run) x 100%
grade = (4.26 m/ 22 m) x 100% = 19.36%

Answer: 19.36%

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Given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle

Anastasy [175]

Answer:

Part 1) False

Part 2) False

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

where

(h,k) is the center and r is the radius

In this problem the distance between the center and a point on the circle is equal to the radius

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Part 1) given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

$(x+3)^{2} +(y-4)^{2}=r^{2}$

Find the distance (radius) between the center (-3,4) and (-6,2)

substitute in the formula of distance

$r=\sqrt{(2-4)^{2}+(-6+3)^{2}}$

$r=\sqrt{(-2)^{2}+(-3)^{2}}$

$r=\sqrt{13}\ units$

The equation of the circle is equal to

$(x+3)^{2} +(y-4)^{2}=(\sqrt{13}){2}$

$(x+3)^{2} +(y-4)^{2}=13$

Verify if the point (10,4) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=10,y=4

substitute

$(10+3)^{2} +(4-4)^{2}=13$

$(13)^{2} +(0)^{2}=13$

$169=13$ -----> is not true

therefore

The point is not on the circle

The statement is false

Part 2) given the center of the circle (1,3) and a point on the circle (2,6), (11,5) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

$(x-1)^{2} +(y-3)^{2}=r^{2}$

Find the distance (radius) between the center (1,3) and (2,6)

substitute in the formula of distance

$r=\sqrt{(6-3)^{2}+(2-1)^{2}}$

$r=\sqrt{(3)^{2}+(1)^{2}}$

$r=\sqrt{10}\ units$

The equation of the circle is equal to

$(x-1)^{2} +(y-3)^{2}=(\sqrt{10}){2}$

$(x-1)^{2} +(y-3)^{2}=10$

Verify if the point (11,5) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=11,y=5

substitute

$(11-1)^{2} +(5-3)^{2}=10$

$(10)^{2} +(2)^{2}=10$

$104=10$ -----> is not true

therefore

The point is not on the circle

The statement is false

7 0

3 years ago

Which equation can be used to find the nth term in the following sequence?

Annette [7]

Answer:

d bio d if husks on zips by hdjxbxbdibdksoshfbrinrl oh s Yb exhort gnu in dudeneijdidnidbduow9sh

7 0

3 years ago

3[-x + (2 x + 1)] = x - 1<br><br><br> what is x

Nataly_w [17]

The answer you are looking for is x=-2.

Solution/Explanation:

Writing out the equation

3[-x+(2x+1)]=x-1

Simplifying inside of the brackets first

Combining like terms, since -x+2x=x

3(x+1)=x-1

*You can remove the parenthesis, if preferred.

Using the Distributive Property on the left side of the equation

3x+3=x-1

Now, subtracting the "x" variable from both sides

3x+3-x=x-x-1

"x-x" cancels out to 0.

3x+3-x=-1

Combining like terms and simplifying

3x-x+3=-1

2x+3=-1

Subtracting 3 from both sides of the equation

2x+3-3=-1-3

"3-3" cancels out to zero.

2x+0=-1-3

2x=-1-3

Simplifying the right side of the equation

2x=-4

Finally, dividing both sides by 2

2x/2=-4/2

Simplifying the final part of the problem

Since 2x/2=x and -4/2=-2

x=-2

So, therefore, the final answer is x=-2.

Hope that this has helped you. Good day to you.

4 0

2 years ago

An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. I

Triss [41]

Answer:

i found this so srry if its wrong i saw no one answering this so i wanna help

Step-by-step explanation:

so, x*(7/100) + (3500 - x)*(4/100) = 197

=> 3x + 14000 = 19700

=> 3x = 19700 - 14000

=> x = 5700/3 = 1900

7 0

2 years ago

(3,4); y>x+2 tell whether each pair is a solution of the given inequality

ch4aika [34]

$(3,\ 4)\to x=3,\ y=4\\\\y > x+2$

Substitute the values of x and y to the inequality:

$4 > 3+2\\\\4>5\ \ FALSE$

<h3>Answer: (3, 4) is not a solution if given inequality.</h3>

4 0

3 years ago