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MaRussiya [10]
3 years ago
8

$#4 Find the value of x. Round answer to nearest tenth.

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is x

With m∠54 as the reference angle,

The unknown is the adjacent side of the right angle triangle.

The opposite side of the right angle triangle is 19

To determine x, we would apply the Sine trigonometric ratio.

Sine θ = opposite side/hypotenuse. Therefore,

Sin 54 = 19/x

x = 19/Sin54 = 19/0.809

x = 23.5 to the nearest tenth.

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(b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the mi
Lubov Fominskaja [6]

Answer:

The number of 3-digit phone prefixes that do not start with 0 or 1, but contain 0 or 1 as the middle digit is 160.

Step-by-step explanation:

The phone prefix for any area is of the form <u>X</u> <u>X</u> <u>X</u>.

These prefixes can take values from 0 to 9.

The condition to create a phone prefix is:

  • The first digit cannot be 0 or 1
  • The middle digit is either 0 or 1.

The possible number of ways to fill the first place is 8 since 0 or 1 cannot be the first digit.

The possible number of ways to fill the second place is 2 since the middle digit can be occupied by either 0 or 1.

The possible number of ways to fill the last place is 10 since there are no condition applied to the last digit.

Then the number of phone prefixes that can be formed is = 8\times2\times10=160

Thus, the possible number of phone prefixes possible is 160.

7 0
3 years ago
3x + 2x divided by 4-2
Harlamova29_29 [7]
The answer is 5x/2 because all you have to do is add 3x + 2x too make 5x and take 4-2 which is 2 and since it can't be simplified any more, just do 5x/2. Hope this helped! :)
3 0
3 years ago
Read 2 more answers
What's are the factors of 60a
polet [3.4K]
Question D:

The terms in the expression are '60a' and '30c'

Question E:

Factors of 60a could be 

2 × 30 × a
3 × 20 × a
4 × 15 × a
5 × 12 × a
6 × 10 × a

Question F

Factors of 30c could be
2 × 15 × c
3 × 10 × c
5 × 6 × c

Question G

Coefficient of 60a is '60'
Coefficient of 30c is '30'

Question H

The meaning of the two terms

Term '60a' means multiply the value of 'a' by 60 to find the total cost for 'a' number of adults

Term '30c' means multiply the value of 'c' by 30 to find the total cost for 'c' number of children

3 0
3 years ago
Describe one way to find the area of the figure below, given the dimensions. Solve for a challenge
tigry1 [53]

Answer:

OK so you didnt put which numbers, but here is how you solve for area. Say if the legnth is 4 and the widght is 6. you have to do legnth times witgh, it this case 6x4 area is 24. Lxw=a

Step-by-step explanation:

8 0
3 years ago
Apples cost $3.60 for 3 lb. At that rate, how many pounds of apples can you buy for $8.40?
irinina [24]

Apples cost $3.60 for 3 pounds . The rate can be calculated as follows

\begin{gathered} 3\text{ pounds = \$3.60} \\ 1\text{ pounds = ?} \\ \text{rate = }\frac{3.60}{3} \\ \text{rate}=\text{ \$1.2 per pound} \end{gathered}

The amount of pounds you can buy for $8.40 can be computed below

\begin{gathered} \text{rate}=\frac{8.40}{\text{pounds}} \\ 1.2=\frac{8.40}{\text{pounds}} \\ weight\text{ in pounds = }\frac{8.40}{1.2} \\ \text{weight in pounds = 7 Ib} \end{gathered}

6 0
1 year ago
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