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nignag [31]
3 years ago
5

Find the length of side X

Mathematics
1 answer:
NISA [10]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is

x² + 6² = 17²

x² + 36 = 289 ( subtract 36 from both sides )

x² = 253 ( take the square root of both sides )

x = \sqrt{253} → C

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Katy invests $18,000 at 14% simple interest for 1 year. How much is in the account at the end of the 1 year period? Answer: $___
Nitella [24]

Answer:

$20,520 at the end of the year

Step-by-step explanation:

A = P(1 + rt)

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   R = Rate of Interest per year as a percent; R = r * 100

   t = Time Period involved in months or years

P = $18,000

r = .14

t = 1

A = 18,000 (1+ ( .14 * 1 ) )

A = 18,000 (1 +.14)

A = 18,000 (1.14)

A = 20,520

$20,520 at the end of the year

8 0
3 years ago
Simplify.
Igoryamba

Answer:

8^{18}

Step-by-step explanation:

Using the rule of exponents

a^{m} ÷ a^{n} = a^{(m-n)} , then

8^{15} ÷ 8^{-3}

= 8^{(15-(-3))}

= 8^{(15+3)}

= 8^{18}

7 0
2 years ago
If U= π(r+h), find r when U =16/1/2 and h = 2/3/4<br><br>π = 3/1/7​
krek1111 [17]

Answer:

r = 2.5

Step-by-step explanation:

U= π(r+h)

Where,

U = 16 1/2

h = 2 3/4

π = 3 1/7​

U= π(r+h)

16 1/2 = 3 1/7(r + 2 3/4)

33/2 = 22/7(r + 11/4)

33/2 = 22/7r + (22/7 * 11/4)

33/2 = 22/7r + 242/28

33/2 - 242/28 = 22/7r

(462-242) / 28 = 22/7r

220/28 = 22/7r

r = 220/28 ÷ 22/7

= 220/28 × 7/22

= (220 * 7) / (28 * 22)

= 1540/616

= 2.5

r = 2.5

4 0
3 years ago
Enter a number.<br> The measure of the hypotenuse is __________
poizon [28]

Answer:

Step-by-step explanation:

c^2 = 24^2 + 7^2

c^2 = 576 + 49

c^2 = 625

c = √625

c = 25

4 0
4 years ago
Cold weather is hard on Ava’s grandmother, so she is knitting her a striped scarf for her birthday. As Ava was knitting the scar
taurus [48]

Answer:

4.75+0.75

Step-by-step explanation:

6 0
3 years ago
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