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3 years ago

When constructing an angle bisector, why must the arcs intersect?

1 answer:

6 0

The arcs must intersect because the point at which the arcs intersect forms the halfway point of the angle; if they don’t intersect, the angle will not be bisected.

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Find the total area for the regular pyramid.

hram777 [196]

Answer:

Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

Find the base area:

A = 3√3/2a²
A = 3√3/2*6² = 54√3

Given the height and radius, find the side of the lateral triangular faces:

$\sqrt{8^2+6^2} =\sqrt{100} =10$

Each of 6 triangles have sides 10, 10 and 6 units.

Find the area using heron's formula:

s = P/2 = (10*2 + 6)/2 = 13
s - a = s - b = 13 - 10 = 3
s - c = 13 - 6 = 7
$A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}$

Total surface area:

$S = 6*3\sqrt{91}+54\sqrt{3} =18\sqrt{91}+54\sqrt{3}$

Correct choice is B

3 0

2 years ago

Can someone solve this for me?

Helga [31]

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

$\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare$

5 0

1 year ago

Using the given degree measure give two coterminal angle (one negative and one positive) and the reference angle. - 40°

horsena [70]

Answer: C 2021 edg

Step-by-step explanation:

3 0

3 years ago

What is 36/48 simplifiied?

Sunny_sXe [5.5K]

36/48 simplified is 3/4

divide both by 12
36÷12
3
48÷12
4

3 0

2 years ago

Read 2 more answers

Sonny has $5 to buy pencils and rulers. Pencils are 8 cent each. Rulers are 30 cent each. She says “I will buy 15 pencils. Then

ANEK [815]

Answer:

12 Rulers and 17 Pencils

Step-by-step explanation:

15 x 8 = cents spend

15 x 8 = 120

$5-120cents ($1.2) = $3.8 (380 cents)

380/30= 12 rulers with 20 cent remaining

20/8= 2 pencils with 4 cent remaining

now add!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

12 ruler +2 pencils +15 pencils=

12 Rulers and 17 Pencils

4 0

3 years ago