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Arlecino [84]
3 years ago
13

A right triangle has one angle that measures 69º. What is the measure of the other acute angle?

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

21°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180 for the other angle

other angle = 180° - (90 + 69)° = 180° - 159° = 21°

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A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in
velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}

                            = 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

3 0
2 years ago
Hello everyone can you answer this for me? What is A in the equation attached? Please and thank you.
lapo4ka [179]

Answer:

a = 6

Step-by-step explanation:

Hello!

Solve:

  • 4(3a - 4) = 56
  • 3a - 4 = 14          (factoring out 4)
  • 3a = 18               (adding 4 to both sides)
  • a = 6                   (dividing by 3)

Another way:

  • 4(3a - 4) = 56
  • 12a - 16 = 56        (distributive property)
  • 12a = 72               (moving like terms)
  • a = 6                    (dividing by 12)

Distributive Property of Multiplication:

The process of distributing the outside factor to the terms in the parenthesis.

Example:

4(3a - 4)\\\\4(3a) - 4(4)\\\\12a - 16

7 0
3 years ago
Read 2 more answers
Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4
HACTEHA [7]

The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5


The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2


Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2


Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1  

6 0
1 year ago
A=1/2 bh (base/height)<br> =.5(12)4<br> a=24ft<br> how did i get the answer a=24?
vampirchik [111]
That’s what i got
step by step explanation
4 0
3 years ago
Pls help ASAP pls pls pls i will give brainliest if 2 people reply whichever gives best explanation will get brainliset
riadik2000 [5.3K]

Answer:

3 1/3 miles The answer is D

Step-by-step explanation:

The first trip to school is 5/6 miles. Multiply that by 2 because she also walked home and you get 10/6. Then add the distance she she walked to the library- which simplifies to 5/6 and you get 20/6. That simplifies to 3 1/3.

3 0
3 years ago
Read 2 more answers
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