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Montano1993 [528]
3 years ago
8

A central angle in a circle with radius 7 inches has the measure θ , in radians. The length of the arc subtended by the central

angle is 5π/3 inches.
What is the value of θ , rounded to the nearest tenth of a radian?

θ≈

You get 25 points if answered :)
Mathematics
1 answer:
Ahat [919]3 years ago
6 0
The relationship between arc, radius, and central angle in radians is:

Θ = s/r

So just plugging in the values:

Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7
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HELP please.
Scorpion4ik [409]

Answer:

C

Step-by-step explanation:

Here, originally, we are told that the point Q has coordinates (-2,1)

Now, its dilated point has the coordinates (-8,4)

what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image

Now the point R’ is (0,8)

To get the point R , we simply divide each coordinate by 4

Thus, we have (0/4 , 8/4)

This is same as option C

4 0
3 years ago
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Romashka [77]

Answer:

The answer is x = 5.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with AB = CA

   m∠ ABC = ( 6x + 4 )°

   m∠ BAC = 73°

   m∠ BCA = ( 8y - 7 )°

To Find:

x = ?

Solution:

Properties of an Isosceles Triangle.

  1. Base angles or two angles are equal.
  2. Any two sides are equal.

Here , Δ ABC is an Isosceles triangle with AB = CA

∴  m∠ BAC = m∠ BCA

73= 8y-7\\8y=73+7\\8y=80\\y=\frac{80}{10} \\y=10

∴      m∠ BCA = ( 8y - 7 )°

                       = 8 × 10 - 7

       m∠ BCA  = 73  Which is same as ∠ CAB

Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

\angle ACB + \angle CAB + \angle CBA = 180

Substituting the values we get,

73 + 73 + (6x+4) = 180\\6x+4=180-146\\6x=34-4\\6x=30\\x=\frac{30}{6} \\x=5\\

The answer is x = 5.

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3 years ago
Mara brought 2/3 yard of yellow ribbon and 1/4 yard of blue ribbon. How many yards of ribbon did she buy all together?
lions [1.4K]
She bought 11/12 yards of ribbon
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3 years ago
Plz help me asapppppppp
Elena-2011 [213]

Answer:

7. x = 37.5

8. x = 8

Step-by-step explanation:

7. The sides of the triangles are proportional, therefore:

x/20 = (46 - 16)/16

x/20 = 30/16

Cross multiply

x*16 = 30*20

16x = 600

Divide both sides by 16

x = 600/16

x = 37.5

8. The sides of the triangles are proportional. Therefore,

(7x - 1)/22 = (3x + 1)/10

Cross multiply

10(7x - 1) = 22(3x + 1)

70x - 10 = 66x + 22

Collect like terms

70x - 66x = 10 + 22

4x = 32

4x/4 = 32/4

x = 8

5 0
3 years ago
Solving Equations In Exercise,solve the equation for<br> e^(x)1/2 = e^3
ra1l [238]

Answer:

x = 9

Step-by-step explanation:

We are given the equation

e^{(x)^{1/2}} = e^3

We solve the equation in the following manner

e^{(x)^{1/2}} = e^3\\e^{\sqrt{x}} = e^3\\\text{Comparing both the sides we get}\\\sqrt{x} = 3\\\text{Squaring both sides}\\(\sqrt{x})^2 = 3^2\\x = 9

Solving for x, we get

x = 9

8 0
3 years ago
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