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pashok25 [27]
2 years ago
13

I hope someone can help me here please don't answer nonsense!​

Mathematics
1 answer:
pshichka [43]2 years ago
3 0

1) By the inscribed angle theorem, m\angle B=\frac{1}[2}(60^\circ})=\boxed{30^{\circ}}

2) By the inscribed angle theorem, arc RT measures twice 63 degrees, or 126 degrees.

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WILL MARK BRAINLIEST!!!
hoa [83]

9514 1404 393

Answer:

  • a = 17
  • ∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

  (4a +10) +(6a) = 180

  10a = 170 . . . . . . . . . . subtract 10

  a = 17 . . . . . . . . . . . . . divide by 10

__

Then the measure of angle ABC is ...

  ∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

  ∠ABC = 78°

5 0
3 years ago
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
Yuri [45]

Let the curve C be the intersection of the cylinder  



16x^2+y^2=16



and the plane



x+y+z=1



The projection of C on to the x-y plane is the ellipse



16x^2+y^2=16



To see clearly that this is an ellipse, le us divide through by 16, to get



\frac{x^2}{1}+ \frac{y^2}{16}=1



or  



\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1,



We can write the following parametric equations,



x=cos(t), y=4sin(t)



for  



0\le t \le 2\pi



Since C lies on the plane,



x+y+z=1



it must satisfy its equation.



Let us make z the subject first,  



z=1-x-y



This implies that,



z=1-sin(t)-4cos(t)



We can now write the vector equation of C, to obtain,



r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))



The length of the curve of the intersection of the cylinder and the plane is now given by,



\int\limits^{2\pi}_0 {|r'(t)|} \, dt



But  



r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))



|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}



\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184



Therefore the length of the curve of the intersection  intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0
3 years ago
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?​
Brrunno [24]

Answer:

450

Step-by-step explanation:

60 x 7.5=450

5 0
3 years ago
Solve the inequality 6.2n < 2n + 8.4​
Degger [83]

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

6 0
2 years ago
Anyone can help me I would appreciate it
Kisachek [45]

Answer:

This would be shifted down 8 and made 3 times less steep.

Step-by-step explanation:

In order to determine these transformations, we first need to compare the constants at the end. This will determine the up or downward shift. Since the f(x) is 5 and the g(x) is -3, we know that it went down 8.

Next we compare the coefficients of x. Since the f(x) is 6 and the g(x) is 2, we know that it is 3 times less steep.

7 0
3 years ago
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