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r-ruslan [8.4K]
3 years ago
12

Which of the statements are true ?

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

B and C hope its corect


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A rhombus has four 6-inch sides and two 120-degree angles. From one of the vertices of the obtuse angles, the two latitudes are
nikitadnepr [17]

Answer:

Area(A)=Area(C)= 9 in^{2}

Area(B)=13.2 in^{2}

Step-by-step explanation:

We begin with finding the angles a and b that from the drawing attached you can see that a=b.

Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:

120+120+a+b=360

240+2a=360

2a=120

a=60=b

Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.

We can say from the drawing as well:

Area(A)+Area(B)+Area(C)=Area(rhomboid)

But, we can also say that Area(A)=Area(C)

So, starting with Area(A)

Area(A)=Area(triangle)=\frac{b*h}{2}=\frac{6*3}{2}=9 in^{2}

We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.

Area(B)=Area(rhomboid)-Area(A)-Area(C)

Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.

h=[tex]6*cos(30)=5.20in   The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.

Area(rhomboid)=5.20*6=31.2 in^{2}

Area(B)=Area(rhomboid)-Area(A)-Area(C)=31.2 in^{2}-9 in^{2}-9 in^{2}=13.2 in^{2}

3 0
3 years ago
Helppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
zloy xaker [14]

Step-by-step explanation:

draw the net

there are 3 squares, each with a L = 5m and W = 1.5 +1.5m

2 triangles with a base of 1.5 + 1.5 and a height of 2.6m

Area of a rectangle = L x W

" " Triangle = 0.5 x b x h

so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)

also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive

3 0
2 years ago
The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three
Margaret [11]

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: \frac{a + b + c + d}{4} = 85

Whose largest number is 97: \frac{a + b + c + 97}{4} = 85

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

3 0
3 years ago
Base of a triangle is 15 height is 7 what is area of triangle
eimsori [14]

Answer:

b·h=105

Step-by-step explanation:

u multiply the base times the height

8 0
3 years ago
Name an example of a minor arc
Vladimir79 [104]

an arc of a circle having measure less than or equal
3 0
3 years ago
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