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kakasveta [241]
2 years ago
15

Select the prime number 73, 74, 75, 76, 77

Mathematics
2 answers:
Dmitry [639]2 years ago
8 0
73 is the prime number because you can’t multiply anything to get it besides 1 and itself. 75 is incorrect because any number with five in the ones place and no decimals can be gotten by multiplying 5
Juli2301 [7.4K]2 years ago
3 0

Answer:

75 is the prime number if I am correct

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A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the to
OLEGan [10]

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

6 0
2 years ago
A programmer wants to display how the shape of a rectangle with a fixed perimeter of 300 inches can be changed by varying the re
stiv31 [10]

If the rectangle has a fixed width of 300, it means that

2(l+w)=300 \iff l+w=150 \iff w=150-l

where w and l are width and length, respetively.

So given the length l, the are would be

l\times w = l\times (150-l)=-l^2+150l

7 0
3 years ago
Ten boys and twelve girls decide to rent a 16-passenger van and a 6-passenger to drive to a rock concert in a near by city. If t
stira [4]
A) The probability that there are no boys in the car is given by:
P(no\ boys\ in\ car)=\frac{12C6}{22C6}=0.012
5 0
3 years ago
HELPPPP please
Nady [450]

Answer:

m = 7

Step-by-step explanation:

2m + -4 = 10

Reorder the terms:

-4 + 2m = 10

Solving

-4 + 2m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2m = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2m = 10 + 4

2m = 10 + 4

Combine like terms: 10 + 4 = 14

2m = 14

Divide each side by '2'.

m = 7

Simplifying

m = 7

7 0
3 years ago
Can any one help me in this please any math genius
andriy [413]
It is 10 to 1 significant figures
3 0
2 years ago
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