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Novosadov [1.4K]
3 years ago
5

Find the exact value of sin A in simplest radical form. ​

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

Answer:

✓10/10

Step-by-step explanation:

sinA = 1/✓10

Rationalize the denominator by multiplying by ✓10:

sinA = 1✓10/✓10✓10

sinA = ✓10/10

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The width of a fenced yard is 6 yards less than the length. And the perimeter is less than it equal to 72 yards. Write the inequ
Vaselesa [24]

Answer:

Length = 21 yards

Width = 15 yards

Step-by-step explanation:

Let

Length = x

Width = x - 6

Perimeter ≤ 71 yards

Perimeter of a rectangle = 2 (length + width)

72 ≤ 2(x + x-6)

72 ≤ 2 (2x - 6)

72 ≤ 4x - 12

72 + 12 ≤ 4x

84 ≤ 4x

x ≤ 84/4

x ≤ 21

Length = x = 21 yards

Width = x - 6

= 21 - 6

= 15 yards

7 0
3 years ago
A facility has 150 beds and during a 30 day period they have 4,200 occupied bed days. What is their average percentage of occupa
natulia [17]

Answer:

Average percentage of occupancy = 93%.

Step-by-step explanation:

If a facility has 150 beds, then over a 30 day period they could have as many as 150 x 30 or 4,500 occupied beds.  Since over the given 30 day period they only had 4,200 occupied beds, we can find the average percentage of occupancy by dividing the actual number by the expected number and multiplying by 100:

\frac{actual}{expected} = \frac{4200}{4500} x 100 = 93%


3 0
3 years ago
Read 2 more answers
Mary had $25,000 to invest. She invested part of that amount at 3% annual interest and part at 5% annual interest for one year.
emmasim [6.3K]
(25000-f)(.03)+.05f=1100

750-.03f+.05f=1100

750+.02f=1100

.02f=350

f=$17500

So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.


3 0
3 years ago
What are the x and y intercepts of the line??<br><br> 5x-2y=-20
uysha [10]
X=(-4,0)
y=(0,9)
hope this helps

8 0
3 years ago
Read 2 more answers
The sum of four times a number and 18 is the same as the difference of fourteen and twice a number
Citrus2011 [14]
4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}
4 0
3 years ago
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