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Ad libitum [116K]
3 years ago
14

Find the missing side. Round to the nearest tenth.

Mathematics
1 answer:
Marina86 [1]3 years ago
8 0
Identify the opposite, adjacent, and hypotenuse  based on the 15 degree angle. From there plug in the variable x and 14 into your tangent equation which would be tan15=x/14. Solve for x using a calculator and your answer would be rounded to 3.8.
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Find the value of y. Round your answer to the nearest tenth.
ale4655 [162]
Is a calculator allowed? 8/13 = 0.61538. Then take arccos of that to get 52 degrees. Arccos on a calculator might be seen as acos or inv-cos.
3 0
2 years ago
If someone could help with this one 2 it would be greatly appreciated
LUCKY_DIMON [66]

Given recursive formula is

f(n) = 22 * f(n - 1)

Where first term : f(1) = 10

And we need to find the first five terms of this sequence. So , let's find the second term by plug in n = 2 in the above formula. Therefore,

f (2) = 2.2 * f ( 2 -1)

= 2.2 * f(1)

= 2.2 * 10

= 22

So second term is 22.

Similarly plug in 3 for n to get the third term. Hence,

f(3) = 2.2 * f(3 -1) = 2.2 * f(2) = 2.2 * 22= 48.4

f(4) = 2.2 *f( 4 -1) = 2.2 * f(3) = 2.2* 48.4 = 106.48

f(5) = 2.2* f(5-1)= 2.2 * f(4) = 2.2 * 106.48 = 234.256

So, the first five terms are 10, 22, 48.4, 106.48 and 234.256.

Hope this helps you!

3 0
3 years ago
XYZ Software employed three different salespeople last year. Person 1
faltersainse [42]

Answer:

Total FUTA : $669.6

Step-by-step explanation:

Given the information

  • Person 1 earned $3900 in the first quarter  
  • Person 2 earned $20100 in the first quarter  
  • Person 3 earned $6900 in the first quarter

As we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.

So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.

  • Person 1: 3900 x 6.2% = $241.8
  • Person 3: 6,900 x 6.2% = $427.8

=> Total FUTA : $669.6

7 0
3 years ago
6 in. of ribbon costs 20¢. How much will 2 yd. cost?
jasenka [17]
12in = 1 foot
3 feet = 1 yard
36in = 1 yd
36x2 = 72in/6=12x20 = 240 cents
$2.40
5 0
3 years ago
Please help me, I really would appreciate it. I am struggling with this.
AnnZ [28]
2)

let's say the number is "a".

"two more than the number"  ----> a + 2

"five times more than that"  -----> 5 * (a + 2) ---> 5(a + 2)

"the sum of that number and 5 times the number more than 2"

a + 5(a + 2)

"is 26 more than four times the number" ----> = 4*a + 26 ---> = 4a + 26

a + 5(a + 2) = 4a + 26

\bf a+5(a+2)=4a+26\implies a+5a+10=4a+26
\\\\\\
6a-4a=26-10\implies 2a=16\implies a=\cfrac{16}{2}\implies \boxed{a=8}

3)

"eight times the number" ---> 8 * a, or 8a

"3 less than that" ----> 8a - 3

"the number increased by 1" ---> a + 1

"16 times that"  ---> 16(a + 1)

"half that" ----> [ 16(a + 1) ] / 2

\bf 8a-3=\cfrac{16(a+1)}{2}\implies 2(8a-3)=16(a+1)
\\\\\\
16a-6=16a+16\implies \underline{16a-16a}-6=16\implies \stackrel{\textit{inconsistent system}}{-6\ne 16}

4)

\bf \begin{cases}
y=5x+1\\
y-2x-1
\end{cases}\qquad 5x+1=2x-1\implies 5x-2x=-1-1
\\\\\\
3x=-2\implies x=-\cfrac{2}{3}

5)

notice each equation, they're both in slope-intercept form, y = mx + b.

now, notice their slope, is the same for both, notice their y-intercept, it varies.

same slope, different y-intercept simply means, the lines are parallel.
3 0
3 years ago
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