You buy six pens for $2.99 each, and sales tax is 10%. How much change should you receive from a clerk if you give her a $20 bill?

Answers

Answer 1
Answer:

Answer:

$2.06

Step-by-step explanation:

$2.99 x 6 = $17.94

$20.00 - $17.94 = $2.06

Hope this helps

Answer 2
Answer:

Answer: $0.26

Step-by-step explanation:

Cost of 6 pens

= 2.99 x 6

= 17.94

Add sales tax at 10%,

= 17.94 x 1.1

= 19.74

Change due to me

= 20 - 19.74

= 0.26


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Determine if ΔABC and ΔFHG are similar. If so, write the similarity statement.options:


A) The triangles are not similar



B) ΔABC ∼ ΔHFG


C) Impossible to determine.


D) ΔABC ∼ ΔFHG

Answers

Answer:

\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}

Step-by-step explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

\displaystyle (72)/(12) =6

AC ∼ FG

\displaystyle (48)/(8) =6

BC ∼ GH

\displaystyle (84)/(14) =6

6:1 they are similar

Can someone plzzz help me

Answers

It’s f(0)=3 because f(0) just means y intercept which is 3

The segments shown below could form a triangle.

A. True
B. False

Answers

I think it would be, b but if I am wrong I’m sorry

answer TRUE because they would make a triangle

The radius of the large sphere is double the radius of thesmall sphere.
How many times is the volume of the large sphere than the
small sphere?
2
VX
O 4
O 6
O 8

Answers

Answer:

4 times as great

Step-by-step explanation:

Compute the two different volumes and then compare them.

Smaller sphere:  V = (4/3) · π ·r²

Larger sphere:  V = (4/3) · π · (2r)²     = (4/3) · π · 4 · r²

Comparing these, one sees immediately that the volume of the larger sphere is 4 times as great as that of the smaller sphere.

The GCF of 15 and 27 is _____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer is 3, you can try it. I’m pretty sure it’s correct.

Answer:

the answer is 3 i just did the test and btw i like your profile pick anyways not the point just know the answer is 3

Step-by-step explanation:

20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 9 centimeters, what will be the exact area of each hexagonal shape?

Answers

Answer:

210.33 cm^2

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height  (opposite) is calculated as,

From Pythagoras's theorem,

hyp^(2) = adj^(2) + opp^(2)

substituting, we have

9^(2) = 4.5^(2) + opp^(2)

81 = 20.25 + opp^(2)

opp^(2) = 81 - 20.25 = 60.75

opp = √(60.75) = 7.79 cm  this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = (1)/(2) bh

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = (1)/(2) x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = 210.33 cm^2