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2 years ago

Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC

Mathematics

2 answers:

viva [34]2 years ago

4 0

Answer:

3 $\sqrt{5}$ /2

Step-by-step explanation:

As given, AC = BC, its an isosceles triangle.

Now, CD is perpendicular to AB, therefore AD = DB = 0.5AB = 3/2

Now take triangle ACD,

using Pythagoras theorem,

AC = $\sqrt{AD^{2} + CD^{2} }$

AC = 3 $\sqrt{5}$ /2

:-)

Aleonysh [2.5K]2 years ago

4 0

It a? Because it make more Send

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Answer:

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2 years ago

The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of servi

11Alexandr11 [23.1K]

Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Given the information above :

Less than Employees = $0.5 increase per hour

Atleast 3 but less than 6 years employees = $1.00 increase per hour

Atleast 6 but less than 9 years employees = $1.50 increase per hour

Atleast 9 but less than 12 years employees = $2.00 increase per hour

The information above can be written as a piecewise function :

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

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________{2.00 if 9 ≤ x < 12

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2 years ago

For positive acute angles

insens350 [35]

9514 1404 393

Answer:

77/85

Step-by-step explanation:

Given:

cos(A) = 4/5

sin(B) = 15/17

Find:

cos(A-B)

Solution:

From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...

sin(A) = 3/5

cos(B) = 8/17

Alternatively, you can use the Pythagorean identity to find ...

sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5

cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17

Then application of the angle difference formula is straightforward.

cos(A -B) = cos(A)cos(B) +sin(A)sin(B)

cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85

cos(A -B) = 77/85

_____

Some graphing calculators can express the result ...

cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294

... as the fraction 77/85

5 0

2 years ago