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vagabundo [1.1K]
3 years ago
15

Can someone help me with this problem. Ive been trying to work it out for a while now and still cant seem to find the answer.

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:

DG=8.62

Step-by-step explanation:

DG is also the hypotenuse. Use the sine ratio. Insert values:

sineX=\frac{opposite}{hypotenuse}\\\\sin72=\frac{8.2}{x}

Solve for x. Multiply both sides by x:

x*(sin72)=x*(\frac{8.2}{x} )

x*sin72=8.2

Divide both sides by sin 72:

\frac{x*sin72}{sin72}=\frac{8.2}{sin72}

x=\frac{8.2}{sin72}

Insert into a calculator:

x=8.622

Round to the nearest hundredth:

x=8.62

Done.

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Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north
Grace [21]

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

7 0
3 years ago
What is the product?<br> (x+3)(2x - 1)<br> 2x²-3<br> 2x²+66<br> O 2x²+5x-3<br> 2x²+6x-3
Bess [88]
It’s 2x^2 + 5x - 3.
5 0
3 years ago
To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches. He
Mrrafil [7]

Express all possible lengths for this scrap as a compound inequality will be L ≤ 24.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches.

⇒ 3/4 x 32

⇒ 24

He already has a 48-inch pipe.

Let the variable L represents the length of the extra (scrap) that is removed from the 48-inch pipe will be

Then express all possible lengths for this scrap as a compound inequality will be

L + 24 ≤ 48

       L ≤ 48 - 24

       L ≤ 24

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

3 0
2 years ago
There are 6 paintings on three walls of a room. If annart gallery has 13 such rooms, how many paintings are there in its collect
SSSSS [86.1K]

Answer: (I think)

78 paintings

Step-by-step explanation:

6 x 13 = 78

3 0
4 years ago
Find the length of the radius for this circle.(x - 3)² (y - 5)² = 8
viva [34]
The standard formula of circle is x^2 +y^2 = r^2 

hope this will help you getting the length of radius sure right easy 

r = sqrt8 = 2sqrt2 

hope this will help you  
6 0
3 years ago
Read 2 more answers
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