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swat32
3 years ago
14

ABCD, EFGH, and HIJK are squares.

Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

400/81 cm²

Step-by-step explanation:

FE : DC

1 : 3

Since area ABCD = 400

s² = 400

s = 20

FE = ⅓(20) = 20/3 cm

IH : FE

1 : 3

IH = ⅓(20/3) = 20/9 cm

Area of HIJK:

(20/9)² = 400/81 cm²

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Can you please solve 4+3x&gt;24 <br> and thank you :))
Leona [35]

Answer:

x>8

Step-by-step explanation:

4+3x>24

-4      -4

3x > 24

/3     /3

x > 8

3 0
2 years ago
A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
4 years ago
C + d = 60<br> 2.5c + 1.75d = 123.75
likoan [24]

Answer:

  (c, d) = (25, 35)

Step-by-step explanation:

Multiply the first equation by 2.5 and subtract the second one:

  2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)

  0.75d = 26.25 . . . . . . . . . simplify

  26.25/0.75 = d = 35 . . . . divide by the coefficient of d

  60 -d = c = 25 . . . . . . . . . use the first equation to find c

(c, d) = (25, 35)

3 0
3 years ago
These are the fees for sending a package by Media Mail:
Serga [27]
For first pound it is = $2.41
For next six, = 0.41 * 6 = $2.46

Remaining = 7.99 - (2.41 + 2.46) = 7.99 - 4.87 = 3.12

Now, additional pounds = 3.12 / 0.39 = 8
Total weight = 1 + 6 + 8 = 15

In short, Your Answer would be 15 pounds

Hope this helps!
6 0
3 years ago
Convert -3x + 2y = 10 into slope-intercept form.
GrogVix [38]
Y=3/2x+5 is the answer
4 0
3 years ago
Read 2 more answers
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