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GarryVolchara [31]
3 years ago
12

A video game console that is normally priced at 269.99 has been marked down by 33% of its original price. If the sales tax is 8.

25% on the discounted price, what will be the final price of the video console?
Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

Answer:

$5.99

Step-by-step explanation:

I am Majoring in math and Personal Finance

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Find the measures of the four numbered angles
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1. 34.5
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6 0
3 years ago
How do I solve for the missing lengths?
Advocard [28]

Answer:

Part 4) ER=3\ units

Part 5) DF=9\sqrt{10}\ units

Part 6) DE=30\ units

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

EF^2=ER^2+RF^2

substitute the given values

(3\sqrt{10})^2=ER^2+9^2

solve for ER

ER^2=(3\sqrt{10})^2-9^2

ER^2=90-81\\ER^2=9\\ER=3\ units

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

DF^2=DR^2+RF^2

substitute the given values

DF^2=27^2+9^2

DF^2=810\\DF=\sqrt{810}\ units

simplify

DF=9\sqrt{10}\ units

Part 6) Find DE

we know that

DE=DR+RE ----> by segment addition postulate

we have

DR=27\ units\\RE=ER=3\ units

substitute

DE=27+3=30\ units

3 0
2 years ago
Pythagoras and True Love
Katena32 [7]

Let us find the length of rope Jules will need using the pythagoras theorem .

Width of the moat ( let the moat be the base of this triangle ) = 14 foot

Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet

Then the length of rope needed ( hypotenuse ) =

= Let us name the triangle that is formed as △ ABC . Then ;

In △ ABC :

AB = the width of moat ( leg of triangle ) = 14 foot

BC = The distance from the window to the moat ( base ) = 20 feet

AC = Length of rope needed ( hypotenuse ) =

= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 14² + 20² = AC²

= 196 + 400 = AC²

= 596 = AC²

= 24 × 24 = AC × AC

= 24 foot = AC = length of rope needed by jules .

Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .

6 0
3 years ago
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