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OleMash [197]
3 years ago
8

A search plane covers 50 square miles of countryside.How many hectares does the plane search(to the nearest tenth)?

Mathematics
2 answers:
swat323 years ago
4 0
The plane has searched 12,950 hectares. the ratio between hectares to square miles is: 1 hectare is 2.471 acres

SCORPION-xisa [38]3 years ago
3 0

we know that

one square mile is equal to 258.999\ hectares

so

by proportion

\frac{258.999}{1} \frac{hectares}{square\ miles} =\frac{x}{50} \frac{hectares}{square\ miles}\\\\ x=50*258.999= 12,949.95\ hectares

therefore

<u>the answer is</u>

12,950\ hectares

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Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some sour straws for $1.50
GalinKa [24]

Answer:

x = 5

$15.00 is the total amount of money Jamal has right? To find the remaining amount of money Jamal has subtract 15 - 7.5 (price of nachos) = 7.5 (remaining amount of money Jamal has.) Now for part 2, since the sour straws are $1.50 each you just have to multiply X to get close as close to the remaining amount of money as possible.

1.50× 5 (amount of sour straws) is equal to 7.50 (price of 5 sour straws).

To check your answer let's add the price of nachos (7.50) and 5 sour straws (7.50) which is 15.00 the total amount Jamal brought with him.

Let me know if you have any other questions :)

4 0
3 years ago
Read 2 more answers
A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do no
Tatiana [17]

Answer:

Option D.

Step-by-step explanation:

Not everyone who plays band is going to be in sports or vise versa

Hope this helped!

6 0
3 years ago
Which of the following is true of the discriminant for the graph below?
Sonbull [250]

Answer:

<u>Option C. It is zero</u>

Step-by-step explanation:

The graph represents a quadratic equation

The quadratic equation has the form ⇒a x² + b x + c

The discriminant of the quadratic equation is D = b² - 4ac

From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

  1. If D > 0 ⇒ Two real roots.
  2. If D = 0 ⇒ one real roots
  3. If D < 0 ⇒ Two imaginary roots.

The roots of the quadratic equation are the x-intercepts of the function.

As shown at the figure, the quadratic equation has only one point of intersection with the x-axis

So, the function has only one root ⇒ D = 0

So, the discriminant of the quadratic equation = 0

<u>The answer is option C. It is zero</u>

7 0
3 years ago
A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 83 feet and then dr
Simora [160]
Initially started 20 feet from the ground . 
Went uphill 83 feet. 
So: 20 + 83 = 103. The coaster is 103 ft above at this point. 

Went down 42 feet 
So: 103 - 42 = 61. 

Went up 128 feet
So: 61 + 128 = 189

Finally, went down 90 feet
So: 189 - 90 = 99

99 ft above ground.
3 0
3 years ago
Read 2 more answers
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14
Eva8 [605]
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
3 0
3 years ago
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