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Cerrena [4.2K]
3 years ago
9

Find x to the nearest hundredth place.

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

Answer:

C.  24.27 cm

Step-by-step explanation:

sin 65° = opposite ÷ hypotenuse

sin 65° = 22/x

multiply both sides of the equation by x

(sin 65°)x = 22

divide both sides of the equation by sin 65°

x = 22 ÷ sin 65°

punch in 65 sin into your calculator

x = 22 ÷ 0.90631

x = 24.27 cm

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Set it up 180=(7x+10)+ z because angle b is on the flat line and then solve for x (180-10, then 170/7) and you’ll get the value of x and from there you can put it in all
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3.78÷15=? Show the work please.
alexandr1967 [171]

Answer:

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Step-by-step explanation:

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Read 2 more answers
Suppose you are bending stainless steel wire to make the earring shown below. The
lakkis [162]

Given parameters:

Length of earring hook  = 1.5cm

Length of given wire = 45cm

Dimension of the triangle = 3.2cm, 3.2cm and 2.1cm

Unknown:

Number of earrings that can be made from the wire = ?

To solve this problem, we need to calculate the total length of the earring we want to make.

  Total earring length  = Perimeter of earring + length of earring hook

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Now the length of the wire is 45cm,

  Number of earrings  = \frac{45}{10}  = 4.5 earrings

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The number of earrings that can be made is 4.

4 0
3 years ago
The 16th term of an AP is three times the 5th term.If the 12th term is 20 more the 7th term.Find the first term and the common d
Vlad1618 [11]
<h3><u>Answer:</u></h3>

  • First term = 6
  • Common difference= 4

<h3><u>Solution</u><u>:</u></h3>

Let's take the first term as <u>a</u> and the common difference be <u>d</u>

The formula to find the nth term of an arithmetic progression is given by :

  • an = a + ( n - 1 ) d

<u>According to question, we have :</u>

  • 16th term of an AP is three times the 5th term.

➝ a16 = 3 ( a5 )

➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )

➝ a + 15d = 3 ( a + 4d )

➝ a + 15d = 3a + 12d

➝ 15d - 12d = 3a - a

➝ 3d = 2a

➝ 2a = 3d

➝ <u>a = 3d/2</u><u>‎</u>ㅤ‎ㅤ‎ㅤ⸻ ( 1 )

  • And, the 12th term is 20 more the 7th term.

➝ a12 - ( a7 ) = 20

➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20

➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20

➝ a + 11d - ( a + 6d ) = 20

➝ a - a + 11d - 6d = 20

➝ 5d = 20

➝ d = 20/ 5

➝<u> d = 4</u>

  • <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>

➝ a = 3d / 2

➝ a = ( 3 × 4 ) / 2

➝ a = 12 / 2

➝<u> a = 6</u>

3 0
2 years ago
How to solve the problem, and complete answer
rusak2 [61]
Notice the picture below

thus, solve for "y"

5 0
3 years ago
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