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Alenkasestr [34]
2 years ago
9

Whats the answer to this

Mathematics
2 answers:
dybincka [34]2 years ago
5 0

Answer:

16 Units.

Step-by-step explanation:

Given:

  • AC = 2 (x-3)
  • BD = x + 5

THIS CASE ⇒ AC = BD

⇒ Substitute the values

2 (x - 3) = x + 5

⇒ Clear the value of x

2x - 6 = x + 5

2x - x = 5 + 6

x = 11

⇒ Substitute the value of x in any of the equations

11 + 5 = 16

⇒ Length of each diagonal is 16 units.

nadya68 [22]2 years ago
5 0

Answer:

AC = 22

BD = 22

Step-by-step explanation:

The diagonals of a rectangle are equal in length.

⇒ AC = BD

⇒ 2(x - 4) = x + 7

⇒ 2x - 8 = x + 7

⇒ 2x - x = 7 + 8

⇒ x = 15

Substitute found value of x into the expressions for AC and BD:

AC = 2(x - 4)

     = 2(15 - 4)

     = 2(11)

     = 22

BD = x + 7

     = 15 + 7

     = 22

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B. Reverse the inequality sign when dividing by -3 for the inequality
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3 years ago
The circumference of a standard baseball is about 9in. About how many square inches of horsehide are required to cover 100 balls
Marta_Voda [28]
This is the concept of area of solid materials, we are required to calculate the total area of horsehide that is required to cover 100 balls with each having a circumference of 9 in.
The area of hide required will be given by:
area=(area of each ball)*(total number of balls)
area of each ball is given by:
SA=4πr^2
given that the circumference is 9in, we are required to find the radius of the ball
Circumference, c=2πr
thus;
9=2πr
r=9/(2π)
r=1.4 in
Therefore the surface area will be:
SA=4π*1.4^2=24.6 in^2
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Area=24.6*100=2,460 in^2.
5 0
3 years ago
I will give brainliest for question! How many nonzero terms are in the expansion of (x+4)(2x^2+3x+9)-3(x^3-2x^2+7x)?
nataly862011 [7]

Answer:

Four

Step-by-step explanation:

Let's expand and see how many nonzero terms:

⇒ (x+4)(2x²+3x+9)-3(x³-2x²+7x)=

⇒ 2x³ + 3x² + 9x + 8x² + 12 + 36 - 3x³ + 6 x² - 21 x=

⇒ - x³ + 17x² - 12x + 12

As we see the expression has four nonzero terms

4 0
3 years ago
Joseph turns eight dollars per hour in one week he earn $280 how many hours did Joseph work that week
cluponka [151]

Answer:

35

Step-by-step explanation:

280÷8=35

8 0
3 years ago
Determine the intercepts of the line.
iogann1982 [59]

Answer:

y-intercept: (0,5)

x-intercept: (5/2,0)

Step-by-step explanation:

-4x+7=2y-3

-4(0)+7=2y-3

0+7=2y-3

7=2y-3

10=2y

5=y <-- y-intercept: (0,5)

-4x+7=2y-3

-4x+7=2(0)-3

-4x+7=-3

-4x=-10

x=\frac{5}{2} <-- x-intercept: (5/2,0)

4 0
3 years ago
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