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Vanyuwa [196]
2 years ago
12

Find the value of X, rounded to the nearest tenth. A. 31.8 B. 31.4 C. 10.3 D. 10.7

Mathematics
2 answers:
Alenkinab [10]2 years ago
7 0

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

ruslelena [56]2 years ago
4 0
B would be the correct answer
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Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number
tatuchka [14]

Answer:

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is  x + 9.

Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.

Amounts:

  • in 49¢: 49(56-x) cents;
  • in 20¢: 20x cents;
  • in 3¢: 3(x+9) cents.

Total amount:

  • 49(56-x)+20x+3(x+9);
  • $23.55.

Hence,

49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.
5 0
3 years ago
43. Simplify (k – 5) - (k2 + 8).
lesantik [10]

Answer:

(D) -k2 + k - 13

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -k2 + k - 13  =   -1 • (k2 - k + 13)

Trying to factor by splitting the middle term

2.2     Factoring  k2 - k + 13

The first term is,  k2  its coefficient is  1 .

The middle term is,  -k  its coefficient is  -1 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -1 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -k2 + k - 13

Processing ends successfully

plz mark me as brainliest :)

3 0
3 years ago
Read 2 more answers
you have a bag of 10 marbles. three of them are red ,five are blue, and two are green.what is the probability of not picking a g
Verizon [17]

Answer:

Not probabillity of picking a green marble is 80%

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Plz help
Semenov [28]
This is a classic example of Scientific Notation. 
5.3 x 10^5 actually equals 530,000
3.8 x 10^4 actually equals 38,000
Since it is asking for the sum of the numbers you are adding.
Your new equation look like this:
530,000 + 38,000 
= 568,000
now all you have to do is count the decimal points. You start from the end zero and count the spaces in between until you get to the tenths place. (Right behind the first number) There are 5
So your answer will be:
 B. 5.68 x 10^5.
5 0
3 years ago
On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coff
svp [43]

Answer:

each cup cost 1.25 on Tuesday

4 0
3 years ago
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