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Liono4ka [1.6K]
2 years ago
14

The longer leg of a right triangle is 4 ft

Mathematics
1 answer:
ivolga24 [154]2 years ago
5 0
So the equation would be “a squared +4 squared=8 squared.” Then you would square 4 which would be 16 and 8 which would be 64. Now the equation is a squared+ 16=64 the rest is basic algebra. Subtract 16 from 64 which is 48. Now you have a squared= 48. You get the square root of both sides so now you have the square root of a is 6.9. I’m pretty sure that’s how you do it. I apologize if I’m incorrect.
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olchik [2.2K]
The answer of x=7, because 7+2=9
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3 years ago
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ki77a [65]

Answer is -9

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3 years ago
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
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Paha777 [63]
Order of Operations, I'm pretty sure
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What is the answer? ???????
galina1969 [7]
Cross multiply:

30n = 2400.  Then n = 80.
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3 years ago
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