what is the area of the trapozoid? pls help :)

Answer:

the number of child plates and adults plates were served is 125 and 155 respectively

Step-by-step explanation:

Let us assume the child plate be x

And, the adult plates be y

Now according to the question

x + y = 280 .................(1)

2.60x + 9.50y = 1797.50 .............(2)

Now multiply by 2.60x in equation (1)

2.60x + 2.60y = 728

2.60x + 9.50y = 1797.50

-6.90y = -1069.50

y = 155

So, x = 280 - 155

= 125

hence, the number of child plates and adults plates were served is 125 and 155 respectively

Answer:

i think its =y7x-4

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The slope is going to be associated with an “x” and we know that the slope equals -7 so it’s important to add the NEGATIVE sign.

Also, the x-intercept is POSITIVE. It won’t be A because their x-intercept is negative. It won’t be C because their slope is positive. It won’t be D. because they didn’t put -7 as a slope.

Answer:

Perimeter of figure = 36.3

Step-by-step explanation:

We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:

Length (L) = 9

Width (W = 4

Perimeter of rectangle (Pᵣ) =?

Pᵣ = 2(L + W)

Pᵣ = 2(9 + 4)

Pᵣ = 2(13)

Pᵣ = 26

Next, we shall determine the perimeter of semi circle. This can be obtained as follow:

Diameter (d) = 4

Pi (π) = 3.14

Perimeter of semi circle (Pₛ) =?

Pₛ = ½(πd) + d

Pₛ = ½(3.14 × 4) + 4

Pₛ = ½(12.56) + 4

Pₛ = 6.28 + 4

Pₛ = 10.28

Finally, we shall determine the perimeter of the figure. This can be obtained as follow:

Perimeter of rectangle (Pᵣ) = 26

Perimeter of semi circle (Pₛ) = 10.28

Perimeter of figure =?

Perimeter of figure = Pᵣ + Pₛ

Perimeter of figure = 26 + 10.28

Perimeter of figure = 36.28 ≈ 36.3

Answer:

24

Step-by-step explanation:

Answer:

Reflexive Property of Equality

Answer:

angle BOC

Step-by-step explanation:

complementary angles add up to 90 degrees

Answer:

Step-by-step explanation:

20 dude hahah

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)

Answer:

408.2sq inches

Step-by-step explanation:

Area of the cylindrical box = 2πr(r+h)

r is the radius  = diameter/2

r = 10/2 = 5in

h is the height = 8in

Substitute

Area of the cylindrical box  = 2(3.14)(5)(5+8)

Area of the cylindrical box = 2 * 3.14 * 5 * 13

Area of the cylindrical box  = 408.2sq inches

Answer:

Step-by-step explanation:no

Answer:

Step-by-step explanation:

7x + 5 = 215

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

Answer:

5 degrees above Zero = greater than 0 = + 5

3 degrees below Zero = less than 0 = - 3

6 degrees above Zero = greater Than 0 = + 6

2 3/4 degree below Zero = less than 0 = - 2 3/4

-3 ; - 2 3/4 ; + 5 ; + 6

Step-by-step explanation:

5 degrees above Zero = greater than 0 = + 5

3 degrees below Zero = less than 0 = - 3

6 degrees above Zero = greater Than 0 = + 6

2 3/4 degree below Zero = less than 0 = - 2 3/4

The least temperature value implies the coldest while the highest implies the warmest :

Therefore.

Least temperature = - 3 ; then - 2 3/4 ; then + 5 ; then + 6

-3 ; - 2 3/4 ; + 5 ; + 6

Answer:

tan (90° - A) = cot A

Step-by-step explanation:

tan (90° - A) = sin (90° - A) / cos (90° - A) = cos A / sin A = cot A

Answer:

The distance to horizon is 25.64 miles for the parasail.

Step-by-step explanation:

The distance to horizon for a given height is given as

[tex]d=\sqrt{2hR}[/tex]

Here

So the distance becomes

[tex]d=\sqrt{2hR}\\d=\sqrt{2\times 0.083\times 3959}\\d=\sqrt{657.194}\\d=25.6357 \text{ miles}\\d=25.64\text{ miles}[/tex]

So the distance to horizon is 25.64 miles for the parasail.

The colon is the symbol ":". It is used in a number of different ways in mathematics. 1. To denote ratio or odds, as in 2:1 (voiced "two to one").

Do this help?

Answer:

Step-by-step explanation:

nth term formula

We have

Find a₁₂

Correct choice is B

Answer:

26

Step-by-step explanation:

a complementary angle measures 90 degrees. minus the 64 would be 26

Answer:

The answer is -3 squareroot

Answer:

Maximum Value / Vertex : (-2,16)

Step-by-step explanation:

Since the value of a is negative, we will solve for the maximum.

Finding the x-value of the vertex of the parabola is x=-b/2a:

x=-(-4)/2(-1)

x=4/-2

x=-2

Now if we plug x=-2 into the function, we'll get our y-value for the vertex:

f(-2)=-(-2)^2-4(-2)+12

f(-2)=-(4)+8+12

f(-2)=-4+20

f(-2)=16

So the vertex of our parabola is (-2,16) which is our maximum value

Answer:

36% is the  joint probability that a flight arrives late because of weather and ground operations

Step-by-step explanation:

Given

% of flight late because of weather = 0.75

% of flight late because of ground operation = 0.35

% of flight late because of both weather and ground operation = 0.10

The probability of joint probability that a flight arrives late because of weather and ground operations is equal to

p (A and B) + {P(A) * P(B)}

0.10 + (0.75 * 0.35)

0.36

or 36%

Answer:36%

Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.

Answer:

A

Step-by-step explanation:

look it carefully.

Answer:

20

Step-by-step explanation:

Edgenuitu

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

Answer:

33%

Step-by-step explanation: