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Licemer1 [7]
3 years ago
7

Help me please, its due at night today!!!

Mathematics
1 answer:
postnew [5]3 years ago
4 0

Answer:

Step-by-step explanation:

Area of polygon = area of square + area of triangle

Square:

Side = 12 cm

Area of square  = side *side

                          = 12 * 12

                          = 144 sq.cm

Triangle:

base (b) = 12 cm

Height h = 19 cm

Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\

= 6 * 19

= 114 sq.cm

Area of polygon = 144 + 114 = 258 square cm

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HELP URGENT BRAINLIEST
nadya68 [22]

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

\sin (60^\circ)=\dfrac{h}{12}

\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}

Multiply both sides by 12.

\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12

6\sqrt{3}=h

Therefore, the height of the triangle is 6\sqrt{3} cm.

3 0
2 years ago
A 5.1-ft-tall person walks away from a 12-ft lamppost at a constant rate of 3.9 ft/sec. What is the rate that the tip of the per
nekit [7.7K]

Answer:

6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb

12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

6.9y=12x

y=( 12/6.9)x

Differentiating implicitly the bother sides with respect to t, we have

Dy/dt= ( 12/6.9)dx/dt

But dx/dt= 3.9 ft/sec

Then Dy/dt= ( 12/6.9)× 3.9

Dy/dt=6.78ft/sec

Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec

CHECK THE ATTACHMENT FOR THE FIQURE

6 0
2 years ago
An amtrak train travels at a speed of 125 miles per hour convert the speed into minutes/9611920/582d421e?utm_source=registration
Leona [35]
125 MPH = 125/60 MP(Minute) because 1 Hour = 60 Minutes
= 2.0833...Miles per minute
5 0
3 years ago
If the slope of line l is x, and the slope of line m is x+2, and l⊥ m, what is x?
salantis [7]

Answer:

The answer to your question is:  x = -1

Step-by-step explanation:

Data

slope of l = x

slope of m = x +2

they are ⊥

Process

If they are ⊥, then,     x + 2  = - 1/x

                                  x(x + 2) = -1

                                  x² + 2x = -1

                                  x² + 2x + 1  = 0

                                 (x + 1)² = 0

                                 x + 1 = 0

                                x = -1

6 0
2 years ago
Help with this please​
Roman55 [17]
Just place dots where the points are saying, the first number is always x aka the horizontal line ( the one that is going down) and the second number is y aka the vertical line ( the one going up)
7 0
2 years ago
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