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Scilla [17]
3 years ago
7

Find the value of x. Round to the nearest tenth.

Mathematics
2 answers:
Sphinxa [80]3 years ago
7 0
BAD=10 degree
BAD=ABC=10degree
sin(10)=500/x
x=500/sin10=2879.4

swat323 years ago
4 0

Answer:

2880.2 m

Step-by-step explanation:

Refer the attached figure.

Since AD is parallel to BC

So, ∠DAC=∠BCA (alternate interior angles are equal)

So, ∠DAC=∠BCA =10°

Now AB(perpendicular) = 500m

AC (hypotenuse)=x

Now to calculate x we will use trigonometric ratio.

sin\theta =\frac{Perpendicular}{Hypotenuse}

sin10^{\circ} =\frac{AB}{x}

0.1736 =\frac{500}{x}

x=\frac{500}{0.1736}

x=2880.18

Thus the value of x is 2880.18 ≈2880.2 m

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Jade’s weekly paycheck is $306.25. She makes $8.75 per hour. Divide to find the number of hours per week Jade works.
ZanzabumX [31]

So if Jade makes $306.25 a week and for every hour she works, she makes $8.75, then all you have to do is divide 306.25 by 8.75.

306.25/8.75 = 35 hours should be your answer

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5 0
3 years ago
Read 2 more answers
The modulus of a real number, n, is equal to _____.
Bogdan [553]

Answer:

The absolute value

Step-by-step explanation:

we know that

The modulus of a real number, is equal to the absolute value of the real number

so

The modulus of a positive number is simply the number and the modulus of a negative number is found by ignoring the minus sign.

Then

modulus of n is always positive number .such that n belongs to real number R.

Modules of n is denoted by |n|

<u><em>Examples: </em></u>

|-4|=4

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5 0
3 years ago
Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

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The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
3 years ago
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julia-pushkina [17]

Answer:

-9

Step-by-step explanation:

Just substitute in 2 for x

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Help!!!! 20 points!!!!!!’
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Answer:

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3 0
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