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Anastaziya [24]
3 years ago
12

Estimate the area of the irregular shape. Explain your method and show your work! (3 Points)

Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0
31 units
the outer part,try to combines pieces that would make one unit and count
Roman55 [17]3 years ago
7 0

Answer:

The answer is 27.5 units.

Step-by-step explanation:

The shape looks like trapezoid which corners are at below points:

A(-3,3)

B(-3,-4)

C(2,-2)

D(2,2)

To calculate surface of this trapezoid, we can use the formula below:

S=(CD+AB)*h/2

Where:

CD=4 unit

AB=7 unit

h=5 unit

S=(4+7)*5/2=27.5

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3 years ago
Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
Alla [95]

Answer:

The essence of Mathematics lies in its freedom

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3 years ago
The sprocket on the crankshaft of an engine power the camshaft by a chain assembly. If the engine crankshaft is turning 3250 rev
Lera25 [3.4K]

Answer:

  • 30,631 inches
  • 2553 feet

Step-by-step explanation:

The length of one revolution of the sprocket is ...

  C = 2πr = 2π(1.5 in) = 3π in

Then the length of 3250 revolutions is ...

  3250(3π in) = 30,630.53 in

About 30,631 inches of chain travel past the sprocket in one minute.

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There are 12 inches in a foot, so the number of feet is ...

  30,630.53 in/(12 in/ft) = 2552.54 ft

About 2553 feet of chain travel past in one minute.

8 0
3 years ago
A system of linear equations is graphed. Which ordered pair is the best estimate for the solution to the system? (12, 0) (1, 1)
GuDViN [60]
Line 1--------- >(0,2)     (1,-1)
y=mx+b         m=(-1-2)/(1-0)=-3
2=(-3)*(0)+b----- > b=2
y1=-3x+2

Line 2--------- >(0,-1)     (2,2)
y=mx+b         m=(2+1)/(2-0)=3/2
-1=(3/2)*(0)+b----- > b=-1
y2=(3/2)x-1

<span>using a graphic tool
see attached figure</span>

the best estimate solution for the system is <span>(1, 1) 
because </span>is the only one within the range of the x axis (-5,5) and the y axis (-5,5)

6 0
3 years ago
Read 2 more answers
Find all degree solutions in the interval 0° ≤ θ &lt; 360°. If rounding is necessary, round to the nearest tenth of a degree. Us
xenn [34]

Answer:

\theta_{1} \approx 30.473^{\textdegree}

\theta_{2} \approx 120.473^{\textdegree}

\theta_{3} \approx 210.473^{\textdegree}

\theta_{4}\approx 300.473^{\textdegree}

Step-by-step explanation:

The equation needs to be rearranged in terms of one trigonometric function:

5\cdot \sin 2\theta - 9\cdot \cos 2\theta = 0

5\cdot \tan 2\theta - 9 = 0

5\cdot \tan 2\theta = 9

\tan 2\theta = \frac{9}{5}

\theta = \frac{1}{2}\cdot \tan^{-1} \left(\frac{9}{5} \right)

The tangent function has positive values in the 1st and 3rd Quadrants. Then, the solutions are:

\theta_{1} \approx 30.473^{\textdegree}

\theta_{2} \approx 120.473^{\textdegree}

\theta_{3} \approx 210.473^{\textdegree}

\theta_{4}\approx 300.473^{\textdegree}

3 0
3 years ago
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