All categories

3 years ago

Calculate the given angle to the nearest degree

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

Answer:

44°

Step-by-step explanation:

50 and 48 is adjacent and opposite to the missing angle respectively.

Using SOH CAH TOA, We know that we're going to use Tangent.

Now instead of just using Tangent, you need to calculate it's inverse

tan^-1 = (48/50)

tan^-1 = 43.83086

which rounds up to 44°

svetlana [45]3 years ago

6 0

Answer:

44 degree is the correct answer

Hope it helps

You might be interested in

Line A passes through the points (-5, 1) and (5, 11).

11111nata11111 [884]

Line A: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 1}{5 - (-5)} = \frac{10}{5 + 5} = \frac{10}{10} = 1$
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
   + 1    + 1
   y = x + 6

Line B: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{20 - (-1)}{-3 - 4} = \frac{20 + 1}{-7} = \frac{21}{-7} = -3$
   y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
   y + 1 = -3(x) + 3(4)
   y + 1 = -3x + 12
   - 1 - 1
   y = -3x + 11

y = x + 6
y = -3x + 11

   x + 6 = -3x + 11
+ 3x     + 3x
   4x + 6 = 11
       - 6   - 6
   4x = 5
      4   4
       x = 1¹/₄
   y = x + 6
   y = 1¹/₄ + 6
   y = 7¹/₄
     (x, y) = (1¹/₄, 7¹/₄)

The answer is B.

4 0

4 years ago

From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How t

torisob [31]

Answer:

4.75 feet

Step-by-step explanation:

Let the height of the flagpole be x

Sin 53 = x/12

x = 12 × Sin 53

x = 12 × 0.3959

x = 4.75 feet

5 0

3 years ago

3 2/5 -pound bag of yarn costs $5.25. What is the unit rate? Round to the nearest cent.

vova2212 [387]

Answer:

$1.54 per pound

Step-by-step explanation:

The

$3 \frac{2}{5}$

pound bag of yarn costs $5.25.

To find the unit rate, we divide 5.25 by

$3 \frac{2}{5}$

$\frac{5.25}{3 \frac{2}{5} } = 1.54$

To the nearest tenth,each pound costs $1.54 to the nearest cent.

This is what we call the unit rate. The rate per pound.

5 0

3 years ago

A movie theater sells matinee tickets for $6 each and has a capacity of 100 people. The function M(x) = 6x represents the amount

Inessa05 [86]

Answer:

A. Whole numbers less than or equal to 100

Step-by-step explanation:

The domain is the set of x numbers that can be plugged in to a certain equation.

Since the capacity of this movie theater is 100, x can be between 0 and 100, inclusive.

Answer choice A makes sense because whole numbers are definitionally positive integers and this choice caps out at 100.

8 0

3 years ago

A triangular rug has sides that are 5 ft and 4 ft long with an included angle of 79°. what is the area of this rug? enter your a

kondor19780726 [428]

Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,
A = 0.5ab (cos C)
where a and b are the lengths of the side and C is the included angle.
A = 0.5(5 ft)(4 ft)(cos 79°)
A = 1.9 ft²
Thus, the area of the triangular rug is approximately 1.9 ft².

6 0

3 years ago

Read 2 more answers