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creativ13 [48]
3 years ago
11

HELP!!! all work is due in 2 hours

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0
The outside arcs for a circle enveloping a triangle will always equal 360.

Set up an equation that has all arcs equal 360:

(3x + 30) + (5x + 10) + (2x + 20) = 360

Combine like terms:

3x + 5x + 2x = 10x
30 + 10 + 20 = 60

10x + 60 = 360

Subtract 60 from both sides:

10x = 300

Divide both sides by 10 to get x by itself:

x = 30

We can now find the values of the arcs:

3(30) + 30 = 90 + 30 = 120
5(30) + 10 = 150 + 10 = 160
2(30) + 20 = 60 + 20 = 80

All three arc lengths are different, which means that the triangle's side lengths are all different. This makes the triangle a scalene triangle.
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Can you graph X-intercept -3,-2,-1,1 and Y-intercept 5,2,-1,-3
arlik [135]

--Answer--

It's in the picture, desmos will help for graphing.

7 0
3 years ago
Read 2 more answers
Solve for x<br> x + y = 1<br> x + 7y = -4<br> 2x - 6y = 4<br> 5x + 15y = -10<br> 2x + 6y = 10
Arada [10]
X + y = 1
add - y both sides
x + y +  - y = 1 +  - y
x =  - y + 1
Answer: x =  - y + 1
Graph: y =  - x + 1


x + 7y =  - 4
add - 7 both sides
x + 7y +   - 7y = - 4 +  -7y
x =  - 7y  - 4
Answer: x = - 7y   - 4
Graph: y = 0.142857x  -  0.571429


2x  - 6y = 4
add 6y to both sides
2x  - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x  -  0.666667



5x + 15y = - 10
add - 15 to both sides
5x + 15y +   - 15y = - 10 +  - 15y
5x = - 15y  - 10
divide both sides by 5
5x/5 =  - 15y - 10/5
x = - 3y  - 2
Answer: x = - 3y - 2
Graph: y =  - 0.333333x  -  0.666667



2x + 6y = 10
add - 6y to both sides
2x + 6y +  - 6y = 10 +  - 6y
2x =  - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x =  - 3y + 5
Answer: x =  -3y + 5
Graph: y =  - 0.333333x  +  1.666667





Hope that helps!!!
8 0
3 years ago
How many real number solutions are there to the equation 0=-3x^2 + x -4
natta225 [31]
We have that
<span>the equation
y=-3x</span>²<span> + x -4
the </span><span>real number solutions are the points x intercept of the graph
are the points when y=0

using a graph tool
see the attached figure

</span><span>the graph has no point of intersection with the x axis
</span>therefore

the answer is
there are zero real numbers solutions

8 0
3 years ago
A rectangular box is 6 inches wide 10 inches long and 2 inches tall how much wrapping paper is needed to cover the box exactly
stepladder [879]

Answer:

184 in²

Step-by-step explanation:

Given :

Width, w = 6 inches

Length, l = 10 inches

Height, h = 2 inches

To obtain how much wrapping paper is needed ; we take the surface area of the box

Surface area = 2(lw + lh + wh)

Surface area = 2((6*10) + (6*2) + (10*2))

Surface area = 2(60 + 12 + 20)

Surface area = 2(92)

Surface area = 184 in²

The amount of wrapping paper needed = 184 in²

7 0
3 years ago
Please help with this question asap
stepladder [879]

Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared

In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well.  (180 - 90 -45 = 45)

This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.

So we can say that length of leg1 = x, and the length of leg2 also equals x

Now let's use pythagoras' theorem:

leg1 = x

leg2 = x

hypotenuse = 16

x^2 + x^2 = 16^2

      2x^2 = 16^2

      2x^2  = 256

        x^2 = 128

        x = √(128)

        x = 8√2

3 0
4 years ago
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