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3 years ago

1) How many triangles will be formed by 13 matchsticks?

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

1) 4 and one extra

2) 21

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workers on the simile line produce 4 x + 6 bolts each day which expression shows how many books they produced in 12 days

kakasveta [241]

4x+6 is produced each day.
So in 12 days the expression is 12(4x+6)
Solve and you get 48x+72.

7 0

3 years ago

A right pyramid with a regular hexagon base has a height of 3 units If a side of the hexagon is 6 units long, then the apothem i

Setler79 [48]

Answer:

Part a) The slant height is $3\sqrt{2}\ units$

Part b) The lateral area is equal to $54\sqrt{2}\ units^{2}$

Step-by-step explanation:

we know that

The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces

$LA=6[\frac{1}{2}(b)(l)]$

where

b is the length side of the hexagon

l is the slant height of the pyramid

Part a) Find the slant height l

Applying the Pythagoras Theorem

$l^{2}=h^{2} +a^{2}$

where

h is the height of the pyramid

a is the apothem

we have

$h=3\ units$

$a=3\ units$

substitute

$l^{2}=3^{2} +3^{2}$

$l^{2}=18$

$l=3\sqrt{2}\ units$

Part b) Find the lateral area

$LA=6[\frac{1}{2}(b)(l)]$

we have

$b=6\ units$

$l=3\sqrt{2}\ units$

substitute the values

$LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}$

3 0

3 years ago

Read 2 more answers

Casey bought a 15.4 pound turkey and an 11.6 pound ham for Thanksgiving and paid $38.51.

White raven [17]

Answer:

h = 1.74

t = 1.19

Step-by-step explanation:

15.4t + 11.6h = 38.51

10.2t + 7.3h = 24.84

15.4•t + 11.6•h = 38.51

10.2•t + 7.3•h = 24.84

11.6h+15.4t = 38.51

7.3h+10.2t = 24.84

h = 87

= 1.74

t = 119

100

= 1.19

6 0

3 years ago

PLEASE HELP ME

Alexxx [7]

Add all three expressions up and set them equal to 180 degrees, because there are 180 degrees in a triangle.

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3 years ago

Given points A(1,2) B(4,5) C(6,7), which statement is true

dalvyx [7]

What are the statements?

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3 years ago