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SOVA2 [1]
3 years ago
6

Someone please help me answer this

Mathematics
2 answers:
Talja [164]3 years ago
8 0
84 is the answer I think
SashulF [63]3 years ago
5 0

Answer:

a = 72 mm is the answer.

Step-by-step explanation:

a = ?

b = 21 mm

c = 75 mm

According to the Pythagoras theorem

a² + b² = c²

a² + 21² = 75²

a² + 441 = 5625

a² = 5625 - 441

a² = 5184

a = 72 mm

∴ a = 72 mm is the length of the missing leg.

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Which of the following statements could be translated to the equation n - 5 = -2
GarryVolchara [31]

Answer:

7

Step-by-step explanation:

1, Add 5+2

2, That's your answer

7 0
3 years ago
The product two consecutive odd numbers is 63find the number
anygoal [31]

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2.  Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x.  Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring:  (x + 9)(x - 7) = 0

Then x could be either -9 or +7.  If we let x = 7 then the first consecutive odd number is 7 + 2, or 9.  These results, 7 and 9, have a product of 63, as stated.

7 0
2 years ago
A scuba diver dove from the surface of the ocean to an elevation of -59 9/10 feet at a rate of -18.4 feet per minute. After spen
Ber [7]

Answer:

The rate of change of the diver's elevation was 10 53/89 ft./min

Step-by-step explanation:

The given parameters are;

The initial elevation of the diver = 0 feet (Ocean surface level)

The depth to which the diver dove = -59 9/10 feet

The rate at which the diver descended = -18.4 feet/minute

The duration the diver spends at the elevation, t₁ = 12 minutes

The depth to which the diver ascended to = -18 9/10 feet

The total time the diver takes so far in the ocean, t_{(tot)} = 19 1/8 minutes

Therefore, we have;

The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes

The duration of the divers ascent = t_{(tot)} - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes

The rate of change of the divers elevation in ascent = Distance of elevation/Time

The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute

The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.

3 0
3 years ago
Select the three equations that are correct.
nika2105 [10]

Answer:

6 × 9 = 54

42 ÷ 7 = 6

56 ÷ 7 = 8

Step-by-step explanation:

Given:

6 × 9 = 54

8 × 4 = 34

42 ÷ 7 = 6

64 ÷ 9 = 7

56 ÷ 7 = 8

Now it need to verify,

6 × 9 = 54 this is correct

42 ÷ 7 = 6 This is also correct

56 ÷ 7 = 8 This is correct

3 0
3 years ago
Over which intereval is the graph of f(x)= -x^2+3x+8 increasing?
aalyn [17]

Answer:

It is increasing when x < 1

Step-by-step explanation:

If you substitute x = 1 in the equation you get that y = 10 at that point which is the maximum point at which graph reaches in the y direction. As you can see, the slope of the derivative is increasing, which means that the slope of the tangent line is increasing before that point.

Hope this helps

6 0
3 years ago
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