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Zina [86]
3 years ago
8

The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

Mathematics
1 answer:
inessss [21]3 years ago
7 0
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.
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qaws [65]

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

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7² - 4(3)m > 0

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Subtract 49 from both sides

-12m > -49

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8 0
3 years ago
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Answer:

240 cubic inches

Step-by-step explanation:

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7 0
3 years ago
The number line between 0 and 1 is partitioned into 6 equal pieces.What fraction of the whole is each piece?
Leno4ka [110]

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<h3>What is a Fraction?</h3>

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The number line between 0 and 1 is partitioned into 6 equal pieces. Therefore, a single unit will exist between 0 and 1, which will be divided into six equal parts. Therefore, each fraction will be 1/6 of the unit.

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4 0
2 years ago
Find the area of the shaded sector. Round to the nearest tenth. Please help.
Maslowich

The formula for area of a sector is...

A = \frac{1}{2} r^{2}θ

NOTE θ is converted from degree to radian

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θ = \frac{167\pi }{180}

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Hope this helped!

5 0
3 years ago
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