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DerKrebs [107]
2 years ago
11

In a story, a tortoise and a hare take part in a race.

Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

Answer:

418 meters

Step-by-step explanation:

The total distance is 996 meters, hare completed 578 meters. The question asked how much further hare has to run which indicates that this is a subtraction problem.

Equation to solve :996-578=x

x=418

Hope this helps, let me know if I am wrong. Have a good day:)

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Round to nearest thousandth!! (3 decimal places) photo attached
aliina [53]

Answer:

<em>Probability point lies on shaded region: ( About ) 0.294</em>

Step-by-step explanation:

<em>~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~</em>

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region )  are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

2. By Pythagorean Theorem, if x ⇒ altitude of one of the triangles ( shaded region), 5^2 + x^2 = 13^2 ⇒ 25 + x^2 = 169 ⇒ x^2 = 144 ⇒ altitude = 12 units

3. Now we can find the area of this trapezoid by:  ( base + base/2 ) * altitude ⇒ ( 12 + 22 / 2 ) * 12 ⇒ ( 34 / 2 ) * 12 ⇒ ( 17 ) * 12 ⇒ 204 units^2

5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

<em>Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294</em>

8 0
3 years ago
Please see attached! Surface area
grandymaker [24]
Surface area is 10 cm
8 0
3 years ago
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dusya [7]

Answer:

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Step-by-step explanation:

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V = 7*4*1

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2 years ago
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NeX [460]

Answer:

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Step-by-step explanation:

Write it in the form of y=mx+b because that is the y-intercept form.

So just plug it in.  y=-3x+3/2

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