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nekit [7.7K]
3 years ago
15

Calcule:

Mathematics
1 answer:
fgiga [73]3 years ago
5 0
E and f were a little complicated.

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

Answer:

(look in the the Step by step)

Step-by-step explanation:

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.

4 0
2 years ago
What is 608 + 17.25?
adelina 88 [10]

Answer:

625.25

Step-by-step explanation:

the answer is 625.25

5 0
2 years ago
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Find a formula for the nth term
Tomtit [17]

Answer:

an =a1+(n−1)d

Step-by-step explanation:

4 0
3 years ago
The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex
melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0
3 years ago
The probability of getting a 4- bedroom home with a open porch based off the table.
AleksandrR [38]
All you have to do is multiply 1/3 (the chance of getting a 4 bedroom home) times 1/2 (the chance of getting an open porch). The answer is a 1/6 chance, as you don’t have to do anything with the kitchens because the question doesn’t specify to.

Hope this helps!
4 0
3 years ago
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