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3 years ago

Question:

1 answer:

4 0

These are five questions and five answers:

<span>I attache a pdf file with drawings for each question showing the answer and below the explanation for each drawing.

1. Suppose that a triangle and a rectangle lie in a plane. What is the greatest number of points at which they can intersect?

Answer: 6.

Because one line of the triangle can intersect maximum two lines of the rectangle, which makes two intersection points.

So, the maximum number of possible intersections is when you arrange the triangles so that its three lines intersect three different lines each.

See the attached picture.

2. Suppose that a circle and a square lie in a plane. What is the greatest number of points at which they can intersect?

Answer: 8.

The attached figure shows a circle and a square with 8 intersection points.

That is the maximum number of points at which a circle and a square in a plane can intersect: each line of the square intersect two different points of the circle.

3. Suppose two distinct triangles lie in a plane. What is the greatest number of points at which they can intersect?

Answer: 6

See the image attached.

Each line of a triangle intersect one different line of the other triangle in two different points.

4. Suppose that a circle and a triangle lie in a plane. What is the least number of points at which they can intersect?

Answer: 0

You can draw two figures that do not intersect each other. See the picture attached.

5. Suppose two distinct squares lie in a plane. What is the least number of points at which they can intersect?

Answer: 0

As you can see the figure attached you can draw two different squares which to not intersect each other.
</span>

Download pdf

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(9-2x)+(6x+4) find the sum

aliya0001 [1]

Answer:

4x+13

Step-by-step explanation:

combine like terms -2x and 6x to get 4 then combine 9 and 4 to get 13

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3 years ago

MEC makes a big family tent in the shape of a symmetrical triangular prism. The floor of the tent is 5 m long and 2.5 m wide. Th

SVEN [57.7K]

Answer:

15,236 sq in

Step-by-step explanation:

First, you have to split the net into three rectangles and two triangles

step 1

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

2 x 1,408 sq in = 2,816 sq in.

step 2

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

2 x 4,692 sq in = 9,384 sq in

Now find the area of the middle rectangle

lw - (69 in) (44 in) = 3,039 sq in.

then add all the areas together

2,816 + 9,384 + 3,036 = 15,236 sq in

Hope this helps :)

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3 years ago

PLZ HELP

Agata [3.3K]

Answer:

$\frac{5x^{2} }{12}$

Step-by-step explanation:

Given: Height: x

Base: $\frac{5x}{6}$

Now, finding the area of triangle.

Formula; Area of triangle= $\frac{1}{2} \times base\times height$

⇒ Area of triangle= $\frac{1}{2}\times \frac{5x}{6} \times x$

⇒ Area of triangle= $\frac{5x^{2} }{12}$

Hence, area of triangle= $\frac{5x^{2} }{12}$

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3 years ago

What is f(x) when x=0.5

yawa3891 [41]

Well in order for someone to solve this they would need the function that goes with it. If you just have those then I believe you would just say:
f(0.5)

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3 years ago

How to write 0.08 in words and numbers?

Sergeeva-Olga [200]

Eight hundredths
0.08

You already got it with the number part ;)

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3 years ago

Read 2 more answers