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Troyanec [42]
1 year ago
9

Find the length of AB given that DB is a median of the triangle AC is 46

Mathematics
1 answer:
slava [35]1 year ago
6 0

ANSWER:

The value of AB is 23

STEP-BY-STEP EXPLANATION:

We know that AB is part of AC, and that DB cuts into two equal parts (half) since it is a median, therefore the value of AB would be

\begin{gathered} AB=\frac{AC}{2} \\ AB=\frac{46}{2} \\ AB=23 \end{gathered}

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Linear Programming:
tatuchka [14]
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2

The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67

Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
7 0
3 years ago
Please EXPLAIN how to get this answer so I can do it with other problems. A straight answer would be great, but I have to do abo
OLEGan [10]

Answer:

PQ = 3.58, and RQ = 10.4

Step-by-step explanation:

We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.  

Hypotenuse = 11,

Opposite side is PQ

Adjacent side is RQ

x = 19

Sin x  = (opposite side)/(hypotenuse)

Cos x = (adjacent side)/(hypotenuse)

For PQ, this is the side opposite to the angle, so use sin,

Sin 19 = x/11

   11(Sin 19) = x

        3.58 = x        (rounded to the nearest hundredth)            

For RQ, this is the side adjacent to the angle, so use cos,

Cos 19 = x/11

   11(Cos 19) = x

        10.4 = x        (rounded to the nearest hundredth)        

6 0
3 years ago
Roderick is counting the change on his dresser. he has twice as many pennies as he does dimes. he has twice the amount of dimes
melamori03 [73]
P = 2d
d = 2n.....n = 1/2d
q = d - 3

since dimes is mentioned in relation to  quarters, pennies, and the nickels, u would use d as ur variable

ur expression would be : d + (2d) + (1/2d) + (d - 3) = total amount of coins...then u would solve for d, the number of dimes. And once u know that, u can sub that answer back into ur original equations to find the number of pennies, quarters and nickels
8 0
3 years ago
Population management is essential for development justify the statement​
olya-2409 [2.1K]

Answer:

Population management is important due to the fact that humans rely on different types of animals for food that if we populate to much that we could all run out of food because say if there are 30 humans and 5 pigs even if they both multiply there well still not be enough in the long run. Which throws the balance over nature off. So if we keep on populating we are practically killing are selves, population management is essential if you do not want the human race to die out.

Step-by-step explanation:

3 0
3 years ago
Plz help I am very confused on this
user100 [1]

Answer:

(-4, 0)

Step-by-step explanation:

(-4, 0)

8 0
3 years ago
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