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2 years ago

Find the measure of angle R to the nearest tenth

Mathematics

2 answers:

Sonbull [250]2 years ago

8 0

The angles add up to 180°
59+39=98
180-98=82°

Alex2 years ago

4 0

Answer:

Step-by-step explanation:

I am going to use the sin law to find the angle R. Applying sin law we have that

$\frac{sin(90)}{58} = \frac{sin(R)}{37}$ , then

$sin(R) = \frac{sin(90)*37}{58} = \frac{37}{58} = 0.6379$

$R = sin^{-1}(0.6379) = 39.63\textdegree = 39.6\textdegree$ .

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The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the

yuradex [85]

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

$y=x\,(10-x)=10x-x^2$

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

$y=ax^2+bx+c$

is given by the formula:

$x_{vertex}=-\frac{b}{2\,a}$

which in our case gives:

$x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5$

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

$y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25$

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3 years ago

there are 77 students in the student council. The ratio of girls to boys is 7:4. How many girls are in the student council? What

madam [21]

Out of every 11 students 7 were girls. Set up the following proportion.

11/7 = 77/x Cross multiply
11x = 7*77
x = 7*77/11
x = 49

49 of the student council members were girls.

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Gala2k [10]

Answer:

Step-by-step explanation:

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Kruka [31]

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koban [17]

1. A relation is a set from x to a set y is called a function if each element of c is related to exactly one element in y. That is,given an element c in c, there is only one element in y that x is related to.
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3. The domain is the set of all possible x-values which will make the function "work" and will output real y- values .When finding the domain , remember :the denominator (bottom) of a fraction cannot be zero .
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2 years ago