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3 years ago

Answer pls! I will mark brainliest

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Step-by-step explanation:

since each unit in the graph increases by 2 let's take that into account when we are trying to find the side lengths of the rectangle and triangle

area of the trapezoid=area of triangle+area of rectangle

area of triangle=bh/2

6x6/2=18

area of rectangle=bh

SO = Length of rectangle

SK. = Width of rectangle

SO=6

SK=4

area =(SO)(SK)

6x4=24

so add both areas of the triangle and square

24+18=42

Hope that helps :)

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Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo

kolezko [41]

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25

==> x + 0.75 - 6x = 0.25

==> 5x = 0.5

==> x = 0.1

==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0

3 years ago

Find the area of the polygon. Figure ABCDE is shown. A is at 6, 0. B is at negative 4, 5. C is at 2, 5. D is at 2, 9. E is at 6,

kondaur [170]

This question is incomplete. The attached image was obtained online

Answer:

41 square units

Step-by-step explanation:

Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.

In square CDEF we have:

The lengths of the side of the square= 4 units

Hence, the area of square is: length ²

Area of square= 4²

=16 square units

Also, in ΔBFA we have:

The base of the triangle is calculated as

=6 + 4= 10 units

height of the triangle is: FA= 5 units

The formula for Area of a triangle = 1/2 × Base × Height

Hence, we have area of ΔBFA as:

= 1/2 × 10 × 5

Area= 25 square units

The Area of the Polygon = Area of the square + Area of the triangle

16 square units + 25 square units

= 41 square units

7 0

3 years ago

Can i get help please i don't know this

scoundrel [369]

I think it means you have to find the area of both shapes and then compare them to see if Liam is correct if he is not correct say why. Hope this helps :)

3 0

4 years ago

What is located at the reflection of (-3,-4) across the y-axis. What are the coordinates of this location

zlopas [31]

Answer:

(3, - 4)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), hence

(- 3, 4 ) → (3, - 4 )

6 0

3 years ago

In the parallelogram below, z = [ ? ]° 124° 2z+16° Helpp!

uranmaximum [27]

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^

7 0

3 years ago