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svetlana [45]
4 years ago
12

Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2 meters away from

the base of the tree. How high into the tree will the ladder reach?
Mathematics
2 answers:
lara [203]4 years ago
8 0

Answer:

The ladder will reach 5.6 meters high.

Step-by-step explanation:

The tree, the ground and Kali's ladder form a triangle whose hypotenuse h is the ladder, base b the ground, and perpendicular p the tree. Thus from Pythagorean theorem:

p^2+b^2=h^2

Since b=2 and h=6

p=\sqrt{h^2-b^2} =\sqrt{6^2-2^2}=\boxed{5.6\:meters.}

Thus the ladder will reach 5.6 meters high.

sasho [114]4 years ago
6 0

Answer: 5.7

Step-by-step explanation:

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6 0
3 years ago
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N. N
S_A_V [24]

Answer:

N = {13, 15, 17, 19}

Step-by-step explanation:

The natural numbers greater than 11 and less than 21 are:

12, 13, 14, 15, 16, 17, 18, 19 and 20

Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.

Since N is the set of odd natural numbers greater than 11 and less than 21,

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4 0
4 years ago
Read 2 more answers
2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
Stells [14]

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°

5 0
3 years ago
Kala drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles
dybincka [34]
Kala will use 13.2 gallons of gas to drive a distance of 286 miles.
3 0
3 years ago
4. A rectangular field has a perimeter of 300m. What is the area of the field if the length of
USPshnik [31]

Answer:

Step-by-step explanation:

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3 years ago
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