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Vedmedyk [2.9K]
2 years ago
12

In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find the length of the angle bisector of an

gle ∠A.

Mathematics
1 answer:
Sauron [17]2 years ago
3 0

Answer: the length of the angle bisector of angle ∠A is 6 ft

Step-by-step explanation:

The diagram of the right angle triangle ABC is shown in the attached photo

Looking at triangle ABC,

cos θ = adjacent side/hypotenuse side

cos θ = 5/13 = 0.3846

θ = 67.38 degrees

The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.

θ/2 = 67.38/2 = 33.69 degrees

Therefore,

Cos 33.69 = 5/AD

AD × Cos 33.69 = 5

AD = 5/Cos 33.69 = 5/0.832

AD = 6 ft

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Romashka [77]

Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

3 0
3 years ago
Solve the whole problem i give brainliest please help me.
suter [353]

Answer:

The inequality for this is 12.5x + 55 ≥ 160

and the amount of visits they need for free movie tickets is 8 visits

Step-by-step explanation:

if you subtract both sides by 55, you'll get

12.5x ≥ 105

and if you divide both sides by 12.5, you'll get 8.4, or 8

6 0
3 years ago
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule
Sergeeva-Olga [200]

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

5 0
3 years ago
Please help meeeeeeee
strojnjashka [21]

Answer:

Volume of the cylinder = 602.88 square centimeters

Step-by-step explanation:

Given that:

Radius of cylinder = 4 cm

Height of cylinder = 12 cm

Volume of a cylinder is given by the following formula;

Volume = πr²h

Putting π = 3.14, r = 4 and h = 12 in the formula

Volume = 3.14 * (4)² * 12

Volume = 3.14 * 16 * 12

Volume = 602.88 square centimeters

Hence,

Volume of the cylinder = 602.88 square centimeters

5 0
2 years ago
Please Subtract the Following Fractions.
vovangra [49]

¡Hola!

Your answer to the question is 10/12.

Step-by-step explanation:

By using the y^2-y^1/x^2-x^1

12-2= 10

16-4= 12

So your answer is 10/12.

Hope this Helps!

4 0
2 years ago
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