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3 years ago

Find the value of x to the nearest tenth.

Mathematics

2 answers:

Svetach [21]3 years ago

6 0

Cos(angle) = Adjacent Leg / Hypotenuse

cos(35) = 9 / x

x = 9 / cos(35)

x = 10.99

Rounded to nearest tenth = 11.0

Lapatulllka [165]3 years ago

5 0

Answer:

The value of x is 11.

Step-by-step explanation:

From the figure it is clear that the given triangle is a right angled triangle. The length of hypotenuse is x units , an angle 35° and adjacent side is 9 units.

Using trigonometric ratios, in a right angled triangle,

$\cos \theta = \frac{adjacent}{hypotenuse}$

Substitute θ=35, adjacent = 9, hypotenuse =x in the above equation.

$\cos 35=\frac{9}{x}$

$0.819=\frac{9}{x}$

Multiply both sides by x.

$0.819x=9$

Divide both sides by 0.819.

$x=\frac{9}{0.819}$

$x=10.989\approx 11$

Therefore the value of x is 11.

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Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold

LenKa [72]

Answer:

Number of hot dogs sold = 56

Number of hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of hamburgers sold = y

We can make equation from given equations:

$0.50x+1y=80$ (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

$x+y=108$ (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

$0.50x+y=80--eq(1)\\x+y=108--eq(2)$

Subtract both equations to get value of x:

$0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56$

We get value of x = 56

Now putting value of x in equation 2 to find value of y

$x+y=108\\56+y=108\\y=108-56\\y=52$

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of hamburgers sold = y = 52

6 0

2 years ago

Y = –x + 4

aliina [53]

Y = -x + 4.....so sub in -x + 4 in for y in the other equation

x + 2y = -8
x + 2(-x + 4) = -8
x - 2x + 8 = -8
x - 2x = -8 - 8
-x = -16
x = 16

y = -x + 4
y = -16 + 4
y = - 12

one solution (16,-12)

8 0

3 years ago

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Step-by-step explanation:

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nadya68 [22]

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DaniilM [7]

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