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const2013 [10]
3 years ago
8

I really need help...

Mathematics
2 answers:
lianna [129]3 years ago
8 0
It could not be 73º because if you add that to 120 then it will be more than 180 degrees, which is the total number of degrees in a triangle. Hope this helps!
SSSSS [86.1K]3 years ago
4 0
The sum of interior angles in a triangle is 180°

If an angle is 120°, then the sum of the other angles is
180° - 120°
= 60°

First, second, and third options are less than 60°. So the three choices are possible angle to the triangle.

The fourth option isn't possible for the triangle. So the answer of the question is fourth option (73°)
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Need your help now please; the assignment is due tonight and this is the last problem I am having trouble with. The red box is t
Kobotan [32]

The volume of the region R bounded by the x-axis is: \mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}

<h3>What is the volume of the solid (R) on the X-axis?</h3>

If the axis of revolution is the boundary of the plane region and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.

From the given graph:

The given straight line passes through two points (0,0) and (2,8). Thus, the equation of the straight line becomes:

\mathbf{y-y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}

here:

  • (x₁, y₁) and (x₂, y₂) are two points on the straight line

Suppose we assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8)  from the graph, we have:

\mathbf{y-0 = \dfrac{8-0}{2-0}(x-0)}

y = 4x

Now, our region bounded by the three lines are:

  • y = 0
  • x = 2
  • y = 4x

Similarly, the change in polar coordinates is:

  • x = rcosθ,
  • y = rsinθ

where;

  • x² + y² = r²  and dA = rdrdθ

Therefore;

  • rsinθ = 0   i.e.  r = 0 or θ = 0
  • rcosθ = 2 i.e.   r  = 2/cosθ
  • rsinθ = 4(rcosθ)  ⇒ tan θ = 4;  θ = tan⁻¹ (4)

  • ⇒ r = 0   to   r = 2/cosθ
  •    θ = 0  to    θ = tan⁻¹ (4)

Then:

\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^2 (rdr d\theta )}

\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}

Learn more about the determining the volume of solids bounded by region R here:

brainly.com/question/14393123

#SPJ1

3 0
2 years ago
You are running a fuel economy study. One of the cars you find is blue. It can travel 28 2/5 miles on 1 1/4 gallons of gasoline.
Harrizon [31]

Answer:

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80   =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

5 0
3 years ago
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete in the table for A to show the time it took her t
Elis [28]

Answer:

Idk what table your talking about but i remeber for this the answer was 4 minutes.

Step-by-step explanation:

3 0
3 years ago
How to factor expressions?<br> For example 4n + 4 • 2,<br> 10t + 10 • 3, 7v + 7 • 8
TiliK225 [7]

Answer:

8(n + 1)

30(t + 1)

56(v + 1)

Step-by-step explanation:

(4n + 4)(2)

4(n + 1)(2)

8(n + 1)

(10t + 10)(3)

10(t + 1)(3)

30(t + 1)

(7v + 7)(8)

7(v + 1)(8)

56(v + 1)

6 0
3 years ago
Making art and can help you find a difference 13 - 5 ​
Genrish500 [490]

Answer:

Here's how to solve

Step-by-step explanation:

Okay so 13 -5

What can you add to 5 to get 13?

5+5=10

5+6=11

5+7=12

5+8=13

8 would be your answer.

5 0
3 years ago
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