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2 years ago

Which is a right triangle formed using a diagonal through the interior of the cube?

Mathematics

2 answers:

grigory [225]2 years ago

3 0

Answer:

triangle AEH is da good one

Step-by-step explanation:

Free_Kalibri [48]2 years ago

3 0

Answer:

The correct option is triangle GDC

Step-by-step explanation:

The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.

A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."

Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.

However, triangle GDC is formed with its diagonal passing through the interior as shown by the "zigzag" line from point G to point D. And then you have another line running from vertex D to vertex C.

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9) The area of Vaughn's dog pen is 341square feet

Wittaler [7]

Answer:

15.5 feet

Step-by-step explanation:

Since length * width = area, we can plug in for the values we are given

We'll set x = width

So 22 * x = 341

22x = 341

x = 15.5

We can check this by multiplying 22 and 15.5 together which gives us 341

Best of luck

8 0

2 years ago

Please actually answer and not just take my points and answer quick this is timed

Arte-miy333 [17]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -\frac{5}{2}x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-\frac{5}{2}x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

<em>Inequality A</em>

$-8$

$-8$ ----> is true

the ordered pair satisfy inequality A

<em>Inequality B</em>

$-8\geq -\frac{5}{2}(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

6 0

3 years ago

Jessie needs $125.00 to buy the BMX bike. He has $20.00 in his savings account. Write and solve an equation to find out how much

yKpoI14uk [10]

Answer:

$105

Step-by-step explanation:

125 - 20 = $105

hopefully this helps

6 0

3 years ago

Stevie has some marbles

Citrus2011 [14]

Stevie has 25marbles
Freddie's has 25x2:50marbles
Danny has 50+5:55marbles

4 0

4 years ago

Read 2 more answers

Help with domain and range.

Vsevolod [243]

Answer:Graphs of inverse functions have a domain and range just like any other graph of a function. The domain of an inverse function is the range of the original, and the range of an inverse function is the domain of an original.

Step-by-step explanation:

7 0

4 years ago