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Viktor [21]
3 years ago
13

Solve for x. Give your answer in simplest radical form

Mathematics
1 answer:
Tasya [4]3 years ago
3 0
Use the Pythagorean Theorem to find the length of the side marked "x."
x^2 + (10 mi)^2 = (13 mi)^2.  Thus, x^2 + 100 mi^2 = 169 mi^2.
Next, x^2= (169-100) mi^2, or x^2 = 69 mi^2.  Find the positive square root of both sides of this equation.  What is it?
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If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

 $4.37 cash outlay

 $29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

  0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

  $32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

  tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

  $27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

__

<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
Find the hypotenuse (c) of the right triangle.
Aleksandr-060686 [28]
<h2><u>Solution</u>:-</h2>

Hypotenuse (x) of the right triangle = \sqrt{7² \: + \: 11²}

Hypotenuse (x) of the right triangle = \sqrt{49 \: + \: 121}

Hypotenuse (x) of the right triangle = \sqrt{170}

Hypotenuse (x) of the right triangle = 13

The hypotenuse (x) of the right triangle is <u>1</u><u>3</u><u> </u><u>m</u>.

<h3>Hence, option (D) <u>1</u><u>3</u><u> </u><u>m</u> is correct. [Answer]</h3>
4 0
3 years ago
A corporate team-building event costs $32, plus an additional $1 per attendee. If there are 66 attendees, how much will the corp
faust18 [17]

Answer:

corporate team-building event cost will cost $98

Step-by-step explanation:

A corporate team-building event costs $32, plus an additional $1 per attendee.

Let cost be C

The expression for the above statement

C($)= 32+n(1)

Where n is the number of attendees

So a situation where there are 66 attendees, the total cost will be

C($) = 32 +66(1)

C($) = 32+66

C($)= 98

3 0
4 years ago
Amy is cooking muffins the recipe calls for 3 5/7 cups of sugar. She has already put in 2 1/10 cups. How many more cups does she
nikitadnepr [17]

Answer:

1.61428571429

Step-by-step explanation:

That would be about 1.62. You do 3 5/7-2 1/10. That would equal to 1.61428571429.

6 0
4 years ago
What value of k makes the statement true? <br><br> k + (–4.1) = –9.7
Ugo [173]
K + (-4.1) is the exact same as saying  k- 4.1, so what you have to do now is put the -4.1 in the opposite side, but with opposite sign too (+)
so k= -9.7 + 4.1
so in order to answer it you have to deduct the number with the lowest value taking in count both as positive and the sign will be the one from the highest value taking both as positive
 9.7
-4.1
____
5.6
so 9.7 had a negative sign so the answer to your question is
k = -5.6
i hope i helped you
8 0
3 years ago
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