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3 years ago

For a trapezoid, the following formula relates the area a, the two bases a and b, and the height h. a= g (a

1 answer:

5 0

A - area of a trapezoid;
a, b - two bases.
A = h * ( a + b ) / 2 / * 2 ( we have to multiply both sides by 2 )
2 A = h *( a + b )
2 A = h a + h b
h b = 2 A - h a
b = ( 2 A - h a ) / h
b = 2 A/h - a
Answer: D )

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Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o

KengaRu [80]

Answer:

the area of the space he can cover with carpet = 16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet = A+B+C+D

the area of the space he can cover with carpet = 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards²

the area of the space he can cover with carpet = 16x⁴ yards²

6 0

2 years ago

Someone please help for a brainly

ivolga24 [154]

Answer:

it's 3 it's it

Step-by-step explanation:

trust me okay I promise dude I a easy yes yes 3

6 0

2 years ago

A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given

Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

3 0

3 years ago

Translate to a system of equations:

omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0

2 years ago

Determine the intercepts of the line.<br> y=5x-13<br><br> Y-Intercept ( , )<br> X-Intercept ( , )

Arte-miy333 [17]

Answer:

Y-intercept is (0, -13)

X-intercept is at (13/5, 0)

Step-by-step explanation:

When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).

So the y-intercept is (0, -13)

To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.

To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.

0 = 5x - 13

13 = 5x

x = 13/5

The x-intercept is at (13/5, 0)

I hope this helped!

3 0

3 years ago