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3 years ago

Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?

Mathematics

1 answer:

professor190 [17]3 years ago

3 0

The answer for your question is E.

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Suppose, for each triangle in the diagram, the measurements that are labeled are known, while the other measurements are unknown

Hunter-Best [27]

<span>To use Law of Cosines, you need to know an angle and two sides.
The simplest case is if you know two sides (a and b) and the included angle (C)
c² = a² + b² − 2ab cos(C)
cos(A) = (b² + c² − a²) / (2bc)
cos(B) = (a² + c² − b²) / (2ac)

You can also use Law of Cosines if you know 2 sides (b and c), and non-included angle (C). We use first equation above, solving for a. Since the equation is a quadratic (with respect to unknown variable a), it is simpler to use Law of Sines in this case.

You can also use Law of Cosines if you know the 3 sides (a,b,c)
cos(A) = (b² + c² − a²) / (2bc)
cos(B) = (a² + c² − b²) / (2ac)
cos(C) = (a² + b² − c²) / (2ab)</span>

7 0

3 years ago

E is between D and F. DE = 4x + 2, EF = 3x, and DF = 16.

iragen [17]

Answer:

x=2

Step-by-step explanation:

DE=4x+2, EF=3x, and DF=16

DE=4(2)+2, EF=3(2), and DF=16

DE=10, EF=6, and DF=16

4 0

4 years ago

The vertex of a parabola is ( 3, -1). One point on the parabola is

Rudik [331]

Answer:

Step-by-step explanation:

If you plot the vertex and the point, you see that the point is above the vertex. Therefore, this is a positive parabola with the work form of

$y=a(x-h)^2+k$

We have values for x, y, h, and k. Let's write the equation of the parabola, put it into function notation, then find another x value at which to evaluate it.

$8=a(6-3)^2-1$ and

$8=a(3)^2-1$ and

8 = 9a - 1 and

9 = 9a so

a = 1. The equation of the parabola in function notation is

$f(x)=(x-3)^2-1$

Since the vertex is at (3, -1) it would make sense to evaluate the function at x values close to the vertex. Let's evaluate the function at an x value of 4:

$f(4)=(4-3)^2-1$ and

$f(4)=(1)^1-1$ and

f(4) = 0. That means that another point on this parabola will be (4, 0).

8 0

4 years ago

What is the volume of a cylinder with the base of 75 cm squared and the height of 9 cm?

shepuryov [24]

20 degrees clecuis juste bcause i know

8 0

3 years ago

Help me for 50 points.

Alexandra [31]

We want sin A. sin A is defined here as opp / hyp, and the values here are
sin A = 9.5 / 11 = 0.864, which, when rounded off to the
nearest hundredth, is 0.86 (answer)

3 0

3 years ago

Read 2 more answers