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MAXImum [283]
2 years ago
7

What is the area of this figure?

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0

Step-by-step explanation:

it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).

we only need to calculate all 3 areas and add them up for the total.

the area of a rectangle is

length × width

so, in our 2 cases we have

6 × 2 = 12 km²

5 × (3 + 2 + 3) = 5×8 = 40 km²

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

so, in our case

6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²

in total, the whole area is

12 + 40 + 39 = 91 km²

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If one endpoint of a segment is −3,−2 ( ) and the midpoint is −1,−8 ( ), find the other endpoint.
MAXImum [283]

Answer:

1, -14

Just calculate the difference module between the midpoints and the endpoints(2,6) and add the same value to the opposite side.

hope this helps.

8 0
3 years ago
The football team ordered 2 pizzas, they didn't eat 1/12 of one pizza and 2/4 of the other. How much pizza was left?
kodGreya [7K]
To equally divide the pizzas, let's use a similar point to base on the remaining pizzas. On the first pizza 1/12 was not eaten an the other was 2/4. Use 12 as the base parts. 1/12 +2/4. 2/4 is equal to 1/2, so let's used 6/12 (also 1/2) to replace 2/4 to add both fractions. 1/12+6/12=7/12.
3 0
3 years ago
The histogram below shows the number of weeks Jimmy spent different amounts of money to fill the gas tank in his car. If the gra
sammy [17]

Answer:

A. The difference in the heights of the bars will not appear as great.

Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
Which angles are congruent in the isosceles triangle?
zhannawk [14.2K]

Answer:

A. Angle CAB and angle BCA

Step-by-step explanation:

Hope it helps you in your learning process.

8 0
2 years ago
Hey! A step by step explanation on this would be great! Thanks!<br> (25 Points)
kicyunya [14]

Step-by-step explanation:

We find the stationary point of (20 + 2x)(1200 - 60x),

where x is the unit rate of increase/decrease.

d/dx [(20 + 2x)(1200 - 60x)]

= d/dx (-120x² + 1200x + 24000)

= -240x + 1200.

When d/dx [(20 + 2x)(1200 - 60x)] = 0,

We have -240x + 1200 = 0. => x = 5.

Price per shirt that maximise revenue

= $20 + $2x = $20 + $2(5) = $30.

Maximum revenue

= (20 + 2(5))(1200 - 60(5))

= $30 * 900 = $27,000.

6 0
2 years ago
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