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VladimirAG [237]
2 years ago
10

Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet.

Each piece will lie on a diagonal of the centerpiece. Select a number from the drop down menu to correctly complete the statement. Each piece of wood should have a length of approximately how many inches.

Mathematics
2 answers:
Snowcat [4.5K]2 years ago
6 0
What you are looking for is the hypotenuse of a right triangle.
If you have a 12 x 24 rectangle, these would be the sides of the triangle and we would use Pythagorean Theorem to find the hypotenuse.
a^2 + b^2 = c^2
12^2 + 24^2 = c^2
144 + 576 = c^2
720 = c^2
take the square root of both sides
c = sqrt(720)
c = 26.8 inches is the approximate answer.
I don't know what your choices are but one should be close to this answer.
saul85 [17]2 years ago
3 0

Answer:

i can confirm that

<em>26.8</em>

is the right answer.

Step-by-step explanation:

i literally just took the test right now.

<em>~</em><u><em>hope i helped ouo have a nice rest of ur day</em></u><em>~</em>

<em>lots of love,</em>

<em>  lee</em>

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The graph of a quadratic relationship is in the shape of a parabola. Parabolas are symmetric arcs and are useful for modeling re
zhuklara [117]

Answer:

  • The arcs on the Golden Gate Bridge.

Explanation:

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from a support, in the form of a curve concave upwards, to a minimum point that is the vertex of the<em> parabola</em>, through which the axis of <em>symmetry</em> passes, and curves again upwards to ascend to the upper end of the other support.

As a <em>unique feature</em> of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The <em>symmetry</em> is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.

6 0
2 years ago
Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
defon

Answer:

13.30

Step-by-step explanation:

$79.80 / 6 hours = $13.30

3 0
2 years ago
Read 2 more answers
a triangle has sides of 4 and 6 units. The measurement of the longest side is missing.Ted says that one possibility for the unkn
tester [92]
This is called the pythagorean theorem: a^2 + b^2 = c^2.
Basically, the sum of one side squared + the side of another side squared = the length of the longest side (or hypotenuse).

We have to do the following math:
4 * 4 = 16
6 * 6 = 36
16 + 36 = 52.

We know that 52 = c^2
So we have to \sqrt{c} to get 7.21

You do not agree with Ted. 

7 0
2 years ago
Assuming no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales b
alexira [117]

Answer:

Step-by-step explanation:

Given that we assume  no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales budget, the Deal product manager wishes to achieve a product contribution margin of 35%.

Sales - variable cost = Fixed cost + profit

Here fixed cost = 3 million dollars

Sales - variable = contribution = 35%

35% should atleast meet the fixed cost

i.e. 35% = 3 million

100% = 8.57 million can be cost

Since fixed cost will not change and remain 3 million these 5,57 million can be given to material and labor costs

So material and labor cost should be limited upto 5.57 million increase.

3 0
2 years ago
Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o
slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>-x+18 -x+18</u>

<u>3x</u> = <u>42</u> Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

19

His sister is 19

5 0
2 years ago
Read 2 more answers
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