Answer:
(2, -8)
Step-by-step explanation:
Sorry if I'm wrong
I think it is three but I am not completely sure, hope this helps
Answer:
m=-2, m=-13
Step-by-step explanation:
3x-10=2x because you set the two equal to each other
-10=-1x because you subtract 3x from both sides
10=x because you divide both sides by -1
substitute that into one of the equations.
2(-1)=m
-2=m
solve the other equation for m
m=3(-1)-10
m=-3-10
m=-13
Answer:
LA = 120 sq cm
SA = 132 sq. cm.
Step-by-step explanation:
LA = ph where p = perimeter of the base and h = the height of prism.
Your base is a triangle. The third side = =
Now, the perimeter of the triangle is 3 + 4 + 5 = 12
So, LA = 12(10) = 120 sq cm
The area of the base is the area of a triangle. A = bh/2 = 4(3)/2 = 6
SA = 2B + LA where B is the area of the base
SA = 2(6) + 120 = 12 + 120 = 132 sq. cm.
Answer:
6√24 or 29.39metres
Step-by-step explanation:
Area of a triangle is bh/2
The perimeter of an equilateral triangle is 3b
This equilateral triangle can be imagined as two adjoining 30-60-90 triangles. Together, their area is the given 24√3 m²
The base of the individual triangle is √24. The height is √24√3. <em>Multiplying</em><em> </em><em>those</em><em> </em><em>factors</em><em>,</em><em> </em><em>we </em><em>get</em><em> </em><em>the </em><em>given</em><em> </em><em>area,</em><em> </em><em>a </em><em>proof</em><em> </em><em>of </em><em>sorts,</em><em> </em><em>but </em><em>mure </em><em>importantly</em><em>,</em><em><u> </u></em><em><u>we </u></em><em><u>can </u></em><em><u>calculate</u></em><em><u> </u></em><em><u>the </u></em><em><u>length</u></em><em><u> of</u></em><em><u> </u></em><em><u>the </u></em><em><u>hypotenuse</u></em><em><u> </u></em><em><u>as </u></em><em><u>2</u></em><em><u>√</u></em><em><u>2</u></em><em><u>4</u></em><em><u>.</u></em>
sin(30°) = 0.5
√24/(0.5) = 2√24
That is the length of the side of the original equilateral triangle.
The perimeter is 3 times the length of the side:
(3)(2√24) = P
6√24 meters is the perimeter.