All categories

3 years ago

Find the length of side AC.

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

Answer:

Step-by-step explanation:

because its a right angled triangle which should be 90 degrees so 90-45=45 so AC is 45 and AB is 45 so the triangle ACB is 90

bija089 [108]3 years ago

7 0

<h2>Answer:</h2>

<u>The length of side AC is</u><u> 4.25</u>

<h2>Step-by-step explanation:</h2>

By using trigonometric formula

Sin θ = Perpendicular / Hypotenuse

But we dont have the angle A so lets find that first

We know that the sum of all interior angles of triangle is 180 so 45+A+90 = 180

Or A+135= 180 => A= 45

Now

Sin θ = Perpendicular / Hypotenuse

Sin 45 = perpendicular / 5

0.85 = Perpendicular / 5

Perpendicular = 5 * 0.85

Perpendicular = 4.25 which is AC

You might be interested in

Kim purchases pet insurance for her cat in 2011, she paid $40 per month. She switch to Discount Insurance she bought online for

emmasim [6.3K]

I think it's 15% discount

6 0

3 years ago

All 12 members of the glee club went to eat at the Hibachi Grill restaurant. The chicken costs $10 per person, while the beef co

Katarina [22]

Answer:

8 chicken, 4 beef

Step-by-step explanation:

No. of chicken: x

No. of beef: y

x + y = 12

x = 12 - y

10x + 14y = 136

10(12 - y) + 14y = 136

120 - 10y + 14y = 136

4y = 16

y = 4

x = 12 - 4

x = 8

7 0

3 years ago

Find angle picture below!

Ghella [55]

Answer:

Angle T = 62°; Angle U = 43°; Angle V = 75°

Step-by-step explanation:

First, find x. We know that the interior angles of a triangle will always add up to 180°.

180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms

180° = 13x + 24 –––Subtract 24 from both sides

156° = 13x ––– Divide both sides by 13 to get x alone

12° = x

Now that we know what x is, we can substitute it in the expressions for the angles.

Angle T:

5x +2

5(12) + 2

60 +2

62°

Angle U:

2x + 19

2(12) + 19

24 + 19

43°

Angle V:

6x + 3

6(12) + 3

72 + 3

75°

Check:

They must equal 180° when added together:

75° + 62° + 43° = 180°

75° + 105° = 180°

180° = 180°

5 0

2 years ago

Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?

VashaNatasha [74]

I hope this helps the answer is

C. 12x2+7x-10

3 0

3 years ago

A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is s

Anastaziya [24]

Answer:

The answer to your question is 4 ft

Step-by-step explanation:

Data

Building's shadow = 288 ft

Building's high = 64 ft

Sarah's shadow = 18 ft

Sarah's height = ?

Process

1.- Use proportions to solve this problem

$\frac{Sarah's height}{Sarah's shadow} = \frac{building's height's}{building's shadow}$

2.- Solve for Sarah's height

$Sarah's height = \frac{Sarah's shadow x building's height}{building shadow}$

3.- Substitution

$Sarah's height = \frac{18 x 64}{288}$

4.- Simplification

$Sarah's height = \frac{1152}{288}$

5.- Result

Sarah's height = 4 ft

5 0

3 years ago