1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Misha Larkins [42]
3 years ago
5

Describe how you would find the third angle measure in a triangle knowing that one angle measures 63 degrees and the the other m

easures 48. Then tell e what the missing angle measure must be.
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

the missing angle is  c=69° .

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

Here we have , a triangle knowing that one angle measures 63 degrees and the the other measures 48. We need to tell e what the missing angle measure must be. Let;s find out :

We know that , by the property of triangle : Sum of all the three angles of a triangle is always 180° . Let angles of triangle be a,b,c  :

⇒ a+b+c=180

In question we have following parameters as :

a=63\\b=48\\c=?

Putting these value in  a+b+c=180 we get :

⇒  a+b+c=180

⇒  63+48+c=180

⇒  111+c=180

⇒  c=180-111

⇒  c=69°

Therefore , the missing angle is  c=69° .

You might be interested in
A sled is being held at rest on a slope that makes an angle theta with the horizontal. After the sled is released, it slides a d
Alenkasestr [34]

Answer:

μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

d₂ = (d₁*Sin θ) / μ

Step-by-step explanation:

a) We apply The work-energy theorem

W = ΔE

W = - Ff*d

Ff = μ*N = μ*m*g

<em>Distance 1:</em>

- Ff*d₁ = Ef - Ei

⇒  - (μ*m*g*Cos θ)*d₁ = (Kf+Uf) - (Ki+Ui) = (Kf+0) - (0+Ui) = Kf - Ui

Kf = 0.5*m*vf² = 0.5*m*v²

Ui = m*g*h = m*g*d₁*Sin θ

then

- (μ*m*g*Cos θ)*d₁ = 0.5*m*v² - m*g*d₁*Sin θ  

⇒   - μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ   <em>(I)</em>

 

<em>Distance 2:</em>

<em />

- Ff*d₂ = Ef - Ei

⇒  - (μ*m*g)*d₂ = (0+0) - (Ki+0) = - Ki

Ki = 0.5*m*vi² = 0.5*m*v²

then

- (μ*m*g)*d₂ = - 0.5*m*v²

⇒   μ*g*d₂ = 0.5*v²     <em>(II)</em>

<em />

<em>If we apply (I) + (II)</em>

- μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ

μ*g*d₂ = 0.5*v²

 ⇒ μ*g (d₂ - Cos θ*d₁) = v² - g*d₁*Sin θ   <em>  (III)</em>

Applying the equation (for the distance 1) we get v:

vf² = vi² + 2*a*d = 0² + 2*(g*Sin θ)*d₁   ⇒   vf² = 2*g*Sin θ*d₁ = v²

then (from the equation <em>III</em>) we get

μ*g (d₂ - Cos θ*d₁) = 2*g*Sin θ*d₁ - g*d₁*Sin θ

⇒  μ (d₂ - Cos θ*d₁) = Sin θ * d₁

⇒   μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

b)

If μ is a known value

d₂ = ?

We apply The work-energy theorem again

W = ΔK   ⇒   - Ff*d₂ = Kf - Ki

Ff = μ*m*g

Kf = 0

Ki = 0.5*m*v² = 0.5*m*2*g*Sin θ*d₁ = m*g*Sin θ*d₁

Finally

- μ*m*g*d₂ = 0 - m*g*Sin θ*d₁   ⇒   d₂ = Sin θ*d₁ / μ

3 0
4 years ago
Which equation represents the function graphed on the coordinate plane?????
Y_Kistochka [10]

Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.

<u>The parent modulus function is:</u>

g(x) = |x|

It is centered at the origin and opens upwards.

A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis

If "k" is <u>positive</u>, the shift will be to the <u>left</u>. If "k" is <u>negative</u>, the shift will be to the <u>right</u>.

A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

If "h" is <u>positive</u>, the shift will be <u>upwards</u>. If "h" is <u>negative,</u> the shift will be <u>downwards</u>.

<u>Now, let's check each of the options:</u>

<u>g(x) = |x+4| - 2 :</u>

This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

<u>g(x) = |x-4| - 2 :</u>

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

<u>g(x) = |x-2| - 4 :</u>

This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.

<u>g(x) = |x-2| + 4 :</u>

This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)


3 0
3 years ago
Read 2 more answers
Helen's house is located on a rectangular lot that is1 1-8 miles by 9/10 mile.Estimate the distance around the lot
klemol [59]

Answer: The distance around the lot is given by

4\frac{1}{20}\ miles

Step-by-step explanation:

Since we have given that

Length of rectangular lot is given by

1\frac{1}{8}\\\\=\frac{9}{8}\ miles

Width of rectangular lot is given by

\frac{9}{10}\ mile

We need to find the distance around the lot.

As we know the formula for "Perimeter of rectangle":

Perimeter=2(Length+Width)\\\\Perimeter=2(\frac{9}{8}+\frac{9}{10})\\\\Perimeter=2(\frac{45+36}{40})\\\\Perimeter=2\times \frac{81}{40}\\\\Perimeter=\frac{81}{20}\\\\Perimeter=4\frac{1}{20}\ miles

Hence, the distance around the lot is given by

4\frac{1}{20}\ miles


3 0
3 years ago
Read 2 more answers
At a football game there were 1200 spectators on Wednesday and 4.8 x 10^3 on Friday. How many times as much was the number of sp
Alja [10]

Answer:

3600

Step-by-step explanation:

4.8x10^3-1200=3600

3 0
3 years ago
What are the coordinates of the vertex?
faltersainse [42]
(-2,8) is the answer





5 0
3 years ago
Read 2 more answers
Other questions:
  • Multiply or find the special product. (Simplify your answer completely.)
    10·1 answer
  • A line has an x - intercept of 0. What is the y-intercept?
    5·1 answer
  • The student council is selling cupcakes at the school play. ​The cost to ​make the cupcakes is a fixed $75 plus $0.17 per cupcak
    11·1 answer
  • A large company wants to administer a satisfaction survey to its current customers. Using their customer​ database, the company
    14·1 answer
  • Solve the equation by factoring: 3x^2 + 22x - 16 = 0
    6·1 answer
  • If r = 4 and a6 = 192, what is the first term of the sequence?
    11·1 answer
  • Write an equivalent expression for n times a using only addition
    6·1 answer
  • Which equation describe the line through the points (2,-4) and (5,8)
    10·1 answer
  • Curve fitting is a methode of finding
    7·1 answer
  • (9+5)(3+2)⁰<br>Evaluate<br><br><br><br>A:0<br>B:1<br>C:14<br>D:15​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!