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3 years ago

It has 3 more vertices than a triangle

Mathematics

2 answers:

vovikov84 [41]3 years ago

6 0

Well, a triangle has 3 vertices, and 3 + 3 would be 6 vertices. So it is a hexagon.

o-na [289]3 years ago

4 0

The answer would be a hexagon.

A vertice is simple a corner of a shape. A triangle has 3 corners, so it has three vertices. A hexagon has 6 corners, so it had 6 vertices!

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

2 years ago

When you multiply a pair of conjugates you get a real number

marusya05 [52]

Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers

Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

4 0

2 years ago

Could anyone help me out with this?

Mama L [17]

Answer: they are abt the same its all abt percentage now- Pitcher A

Step-by-step explanation: more water lessens the strength

7 0

2 years ago

What does it mean to divide figures into known shapes

Ede4ka [16]

I think it means to split a shape into common shapes. I.e. splitting a house shape into a triangle and a square

6 0

2 years ago

A.) 170<br> B.) 300<br> C.)280<br> D.)155<br> Please help me

pav-90 [236]

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

$5x-10=\frac{1}{2}(195-(8x+17))$

which simplifies down a bit to

$5x-10=\frac{1}{2}(195-8x-17)$ which simplifies down a bit more to

$5x-10=\frac{1}{2}(178-8x)$ Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

6 0

3 years ago