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3 years ago

In ΔFGH, f = 960 inches, g = 380 inches and h=820 inches. Find the measure of ∠F to the nearest degree.

Mathematics

1 answer:

WARRIOR [948]3 years ago

6 0

Answer:

$m\angle F\approx 100^{\circ}$

Step-by-step explanation:

For any triangle, the Law of Cosines is given by $c^2=a^2+b^2-2ab\cos C$ , where all three variables are interchangeable.

Therefore, we have:

$f^2=g^2+h^2-2gh\cos F,\\960^2=380^2+820^2-2(380)(820)\cos F,\\\cos F=-\frac{131}{779},\\F=\arccos(-\frac{131}{779})\approx \boxed{100^{\circ}}$

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If y varies directly as x, and y =15 as x= -3, find y for the x-value of 6.

VMariaS [17]

Answer:

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Step-by-step explanation:

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You use for gallons of water on 14 plants in your garden. At this rate how much water will it take to water 35 plants?

nataly862011 [7]

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3 years ago

A function f(x) is graphed on the coordinate plane.

Sidana [21]

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Explanation:

The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.

The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.

The graph permits you to calculate both parameters.

1) The slope, a is defined in this way:

a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]

you can use the points (0, - 2) and (-1,2):

⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.

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8 0

3 years ago

Read 2 more answers

Find the area of each sector shown (the shaded section)

mihalych1998 [28]

Answer:

The area of the sector (shaded section) is 29.51 $m^{2}$ .

Step-by-step explanation:

Area of a sector = (θ ÷ 360) $\pi$ $r^{2}$

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = $\frac{diameter}{2}$

= $\frac{26}{2}$ = 13 m

θ = 360 - (180 + 160)

= 360 - 340

= $20^{o}$

Thus,

area of the given sector = $\frac{20}{360}$ x $\frac{22}{7}$ x $(13)^{2}$

= $\frac{20}{360}$ x x $\frac{22}{7}$ x 169

= 29.5079

The area of the sector (shaded section) is 29.51 $m^{2}$ .

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3 years ago

Explain how the sign of a in the equation y=a(x-h)^2 + k tells you whether the parabola has a minimum or maximum value.

Svet_ta [14]

In short, for a vertical parabola, namely one whose independent variable is on the x-axis, usually is x², if the leading term coefficient is negative, the parabola opens downward, and its peak or vertex is at a maximum, check the picture below at the left-hand-side.

and when the leading term coefficient is positive, the parabola opens upwards, with a minimum, check the picture below at the right-hand-side.

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3 years ago