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jonny [76]
3 years ago
6

Q11.

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = \frac{1}{2}(a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  \frac{1}{2}((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2x^{2} + x

So that;

2x^{2} + x - 531 = 0

This gives a quadratic equation.

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The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e
n200080 [17]
Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25

General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0

Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
4 0
3 years ago
Graph y= 2x-2 with the domain (1,2,3)
Mamont248 [21]
Graph attached. 
To graph by hand find the values at 1 and 3 by plugging it into the original function and drawing a line between the two.
2(1)-2 = 0     Point  (1,0)
2(3)-2 = 4     Point  (3,4)


3 0
3 years ago
Anyone know this at all?
zalisa [80]

Answer:

  24.2

Step-by-step explanation:

You are given the hypotenuse and angle, and you want to find the length of the adjacent side.

The mnemonic SOH CAH TOA reminds you that the relation between angle and sides is ...

  Cos = Adjacent/Hypotenuse

  cos(41°) = x/32

  x = 32·cos(41°)

  x ≈ 24.2

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3 years ago
Isabella is playing a board game. The probability that Isabella will lose a turn on her next turn is 11%. Which word or phrase d
anzhelika [568]

Answer:

unlikely

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11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely

6 0
3 years ago
Evaluate the expression 9x , when x= 4, 7, and 2.5
satela [25.4K]

Step-by-step explanation:

When x = 4,

9x=9×4=36

When x = 7,

9x = 9×7 =63

When x = 2.5

9x = 9×2.5 = 23.5

PLEASE GIVE BRAINLIEST.

5 0
2 years ago
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