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forsale [732]
3 years ago
9

Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original c

ost of $190. He also wants to make sure he has enough money to pay the 5% sales tax. Use this information to answer.
(Joel uses the incorrect expression 0.95(190)(0.8) to calculate his total. He finds that the tablet will cost him a total of $144.40. Describe his error and write the correct expression question 1)
How much will Joel pay for the tablet?

A
$179.55

B
$159.60

C
$144.40

D
$39.90
Mathematics
2 answers:
Tom [10]3 years ago
7 0

A : $179.55

hope it helps

Olegator [25]3 years ago
5 0

Answer:

A. $179.55

Step-by-step explanation:

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Given:
diamong [38]

Answer:

10-5\sqrt{2}

Step-by-step explanation:

As per the attached figure, right angled \triangle MDL has an inscribed circle whose center is I.

We have joined the incenter I to the vertices of the \triangle MDL.

Sides MD and DL are equal because we are given that \angle M = \angle L = 45 ^\circ.

Formula for <em>area</em> of a \triangle = \dfrac{1}{2} \times base \times height

As per the figure attached, we are given that side <em>a = 10.</em>

Using pythagoras theorem, we can easily calculate that side ML = 10\sqrt{2}

Points P,Q and R are at 90 ^\circ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of  \triangleMIL, \triangleMID and \triangleDIL.

Also,

\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL

\dfrac{1}{2} \times 10 \times 10 = \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10\sqrt2\\\Rightarrow r = \dfrac {10}{2+\sqrt2} \\\Rightarrow r = \dfrac{5\sqrt2}{\sqrt2+1}\\\text{Multiplying and divinding by }(\sqrt2 +1)\\\Rightarrow r = 10-5\sqrt2

So, radius of circle = 10-5\sqrt2

8 0
3 years ago
What is the equation of the line, in general form, that passes through point (-1, -1) and is parallel to the line whose equation
lara31 [8.8K]

ANSWER

x + y + 2 = 0

EXPLANATION

The given line passes through;

(-1,-1) and it is parallel to x + y = 3.

This line given to us can be rewritten as

y=-x+1

It has slope m=-1.

The line parallel to this line also has slope m=-1.

We obtain the equation of the line using the formula:

y-y_1=m(x-x_1)

We substitute the slope and the point to obtain:

y -  - 1 =  - 1(x -  - 1)

y + 1 =  - 1(x + 1)

y =  - x - 1 - 1

The equation of the line is

x + y + 2 = 0

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3 years ago
Help me to solve this plz
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Answer:

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