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3 years ago

What is the slope of the airplane ?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

8 0

The slope is 5 because when you count up the y axis 5 and go over to the right one you land on the first point (1,5) and if you go up to the next it will be (2,10).

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I'm completely lost

Vladimir [108]

Let x be the number of racing bikes, and let y be the number of mountain bikes.
1) 140x + 110y = 26150
2) 180x + 120y = 31800
Solve for one of the variables and plug that in to the other equation:
From equation 1: 140x = 26150 - 110y
x = (26150-110y)/140
Plug this into equation 2:
180((26150-110y)/140) = 31800
Solve for y, and find that y = 85 (the number of mountain bikes).
Plug that y into either equation to find x:
140x + 110(85) = 26150
x = 120 (the number of racing bikes).
So the answer is: 120 racing bikes and 85 mountain bikes.

4 0

2 years ago

This net can be folded to make a square pyramid. what is the surface area of the pyramid

givi [52]

Answer:

$85in^2$

Step-by-step explanation:

to find the surface area we need to find the followng areas:

area of the square

area of a triangle and multiply it by 4 (because there are 4 triangles)

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

$a_{square}=l^2$

where $l$ is the length of the side: $l=5in$

thus the area of the square is:

$a_{square}=(5in)^2$

$a_{square}=25in^2$

Area of the triangles:

the are of 1 triangle is given by

$a_{triangle} =\frac{b*h}{2}$

where $b$ is the base of the triangle: $b=5in$ (the base of the triangle is the side of the square)

and $h$ is the height of the triangle: $h=6in$

thus, the area of 1 triangle is:

$a_{triangle} =\frac{(5in)*(6in)}{2}$

$a_{triangle} =\frac{30in^2}{2}$

$a_{triangle} =15in^2$

the area of the 4 triangles is (we multiply by 4):

$a_{4-triangles}=4(15in^2)$

$a_{4-triangles}=60in^2$

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

$Surface=25in^2+60in^2$

$Surface=85in^2$

8 0

1 year ago

What is the solution to the inequality?

Alexxx [7]

Answer:

Oc. x>11

Step-by-step explanation:

Subtract 4 from 4 which will give you 0, then subtract 4 from 15 which should give you 11. x is still greater than 11. You don't switch the signs unless you're dividing or multiplying by a negative number. Hope this helps.

4 0

2 years ago

Solve for x and explain

oksano4ka [1.4K]

Answer:

$x=22$

Step-by-step explanation:

Because $\angle ABC=\angle ABD+\angle DBC=80^{\circ}$ , we have that $(2x+4)+(2x-12)=80$ .

Combining like terms on the left side gives $4x-8=80$ .

Adding $8$ to both sides gives $4x=88$ .

Dividing both sides of the equation by $4$ gives $\boxed{x=22}$ .

5 0

2 years ago

Read 2 more answers

How can I solve this? If you can please explain in-depth, thank you.

Elden [556K]

Step-by-step explanation:

I didn't know this off of the top of my head, and I used Google to help me. Simply searching "30 60 90 right triangle" gave me a few very helpful links. For future reference, if no one is answering here, Google may be your friend.

The (credible) site that I found tells me

"The basic 30-60-90 triangle ratio is:

Side opposite the 30° angle: x

Side opposite the 60° angle: x * √3

Side opposite the 90° angle: 2x"

The side opposite the 30 degree angle is a value called "x" according to this site. This would mean that y is x, which is confusing, so we can just say that the value of y is y (if you want to go a little more in depth, I will simply be referring to what the site refers to as "x" as "y"). To begin, the side opposite the 30 degree angle, which is 8√3, is y * √3. This means that y is 8. Then, the remaining side is 2*y, which is 16.

Please let me know if you have any further questions or concerns.

8 0

2 years ago