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Annette [7]
3 years ago
15

(05.01)Which equation can be used to calculate the area of the shaded triangle in the figure below?

Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0
2nd one, take area of whole 12 x 4=48, if area is equally divided, divide area by 2 or multiply by 1/2

Margaret [11]3 years ago
3 0

Answer:

<u>Option (2) is correct.</u>

Area of shaded region is \frac{1}{2} \times(12 \times 4)=24 \text{square feet}

Step-by-step explanation:

As per the given information, figure below shows a rectangle with a width of 4 ft and a length of 12 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.

Area of rectangle = Length × width

Area of given rectangle = 12 × 4 = 48 ft²

Since we have to find the area of shaded region which is half of the area of whole rectangle as diagonal divide the rectangle into two equal triangles.

Thus, area of shaded region is half the area of rectangle.

AREA OF SHADED REGION = \frac{1}{2} \times(12 \times 4)

                                         =\frac{1}{2} \times(48)

                                           =24 ft²

thus, area of shaded region is \frac{1}{2} \times(12 \times 4)=24 \text{square feet}

Option (2) is correct.

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Answers for both boxes please :)​
NISA [10]

Answer: (-2;8)

\left \{ {{3x+3y=18} \atop {2x+y=4}} \right. \\\\\left \{ {{x+y=6} \atop {2x+y=4}} \right. \\\\=>\left \{ {{x=4-6} \atop {x+y=6}} \right. \\\\\left \{ {{x=-2} \atop {x+y=6}} \right. \\\\\left \{ {{x=-2} \atop {y=6-(-2)=8}} \right.

Step-by-step explanation:

6 0
3 years ago
Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti
almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

d=v.t

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

d=(x+y).t_1

Where t1=2.5 hours. Substituting values:

20=(x+y)*2.5

Rearranging, we find the downstream equation:

2.5x+2.5y=20\qquad[1]

The speed when rowing upstream is x-y, and the distance traveled is

d=(x-y).t_2

Where t2=5 hours. Substituting values:

20=(x-y)*5

Rearranging, we find the upstream equation:

5x-5y=20\qquad[2]

Multiplying [1] by 2:

5x+5y=40

Adding this equation to [2]:

10x=60

Solving:

x=60/10=6

Dividing [2] by 5:

x-y=4

Solving for y

y=x-4=6-4=2

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

3 0
3 years ago
Help im new and need help please the thing is 9.9 x 7 =__._ help please
Bezzdna [24]

Answer:

69.3 is the answer

{ Hello and welcome to Brainly :) i hope i helped }

6 0
2 years ago
Read 2 more answers
the pilgrims sailed aboard the mayflower to America in 1620.in 2040.how many years will have passed since the pilgrims sailed to
Bezzdna [24]

Subtract the year the pilgrims sailed from the year you want to find the distance from:

2040 - 1620 = 420 years.

4 0
2 years ago
Solve for b in the formula C = AB + D
Travka [436]

Answer:

B = C - D / A

Step-by-step explanation:

C = AB + D

subtract D

C - D = AB

Divide by A

B = C - D / A

C and D are both divided by A

8 0
3 years ago
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