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Svetradugi [14.3K]
3 years ago
7

The courtyard behind Jennie's house is shaped like a trapezoid. The bases measure 8 meters and 11 meters. The height of the trap

ezoid is 12 meters. What is the area of the courtyard?
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
Area of the trapezoid=
1/2(b1+b2)×2

A=1/2(8+11)×12
A=1/2(19)×12
A=6×19
A=114 square meters. As a result, the area of the courtyard is 114 square meters. Hope it help!
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Ludmilka [50]
If it’s out of 180 degrees it’s 30 degrees
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Did I do this correctly?
quester [9]

Answer:

yes

Step-by-step explanation:

you did it right

5 0
3 years ago
A new restaurant with 134 seats is being planned. Studies show that 62​% of the customers demand a​ smoke-free area. How many se
zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a​ smoke-free area = 62%

It can also be written as 62\%=\dfrac{62}{100}=0.62

The mean of this binomial distribution will be :-

\mu=np\\\\\mu=(134)(0.62)=83.08

Standard deviation:-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6

Now, the number of seats should be in the​ non-smoking area in order to be very sure ​of having enough seating​ there :-

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4 0
3 years ago
Given the figure above, determine​
tensa zangetsu [6.8K]
Answer: Angle 2 = 47 degree

Explanation:

Proof that triangle ACB ~ triangle CBD

Angle ABC = Angle CBD (same angle)

If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.

=> angle ACD = Angle CDB

Therefore, triangle ACB ~ triangle CBD (AA)

=> angle C = Angle A

But angle A = 47 degree

Therefore, Angle C = Angle 2 = 47 degree

6 0
3 years ago
Bethany needs to solve the equation -x^2 + 4x = x - 4.
notsponge [240]

Answer:

The system of equations she could write is:

   y = -x² + 4x

   y = x - 4

The solutions are (-1 , -5) and (4 , 0)

Step-by-step explanation:

-x² + 4x = x - 4

That means two equations one quadratic which is in the left hand side and the other is linear which is in the right hand side.

They represented graphically by a parabola and a line, the solution of it will be the points of intersection of the two graphs

To find the system of equations take each side and equate it by y

∵ y = -x² + 4x

∵ y = x - 4

∴ The system of equations is:

   y = -x² + 4x

   y = x - 4

Let us solve this system using -x² + 4x = x - 4

∵ -x² + 4x = x - 4

- Subtract x from both sides

∴ -x² + 3x = -4

- Add 4 to both sides

∴ -x² + 3x + 4 = 0

- Multiply both sides by -1

∴ x² - 3x - 4 = 0

Let us use the factorization to solve it

∵ x² = (x)(x)

∵ -4 = (1)(-4)

∵ (x)(1) = x

∵ (x)(-4) = -4x

∵ x + -4x = - 3x ⇒ middle term

∴ The factors of x² - 3x - 4 are (x + 1)(x - 4)

- Substitute x² - 3x - 4 by its factors

∴ (x + 1)(x - 4) = 0

Equate each factor by 0 to find the values of x

∵ x + 1 = 0

- Subtract 1 from both sides

∴ x = -1

∵ x - 4 = 0

- Add 4 to both sides

∴ x = 4

Substitute the values of x in the equation y = x - 4 to find y

∵ y = -1 - 4

∴ y = -5

∵ y = 4 - 4

∴ y = 0

The solutions are (-1 , -5) and (4 , 0)

5 0
3 years ago
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