All categories

3 years ago

What is the area of this trapezoid?

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

7 0

Answer:

30 units²

Step-by-step explanation:

this ones kinda tricky but basically you need to dilate it all by 2 (to make the figure twice as big)

technically, it would be 7.5 units bc but bc of the dilation it'd be 30

liberstina [14]3 years ago

4 0

Answer:

$7.5\:\text{square units}$

Step-by-step explanation:

The area of a trapezoid is given by the average of the bases multiplied by the height.

What we're given:

Height of 3
Bases of 1 and 4

The average of the bases 1 and 4 is equal to $\frac{4+1}{2}=\frac{5}{2}=2.5$

Therefore, the area of the trapezoid is $2.5\cdot 3=\boxed{7.5\:\text{square units}}$

You might be interested in

I need answer fast..

Novosadov [1.4K]

Answer:

a. Portrays the case of two triangles being equal if two angles and the line between them are equal

b. The case of two triangles being equal when two of their lines are equal, compared 2 by 2 and the angles between them are equal

c. The case of two triangles being equal when all lines are equal, compared 2 by 2

5 0

3 years ago

Write a verbal sentence to represent 5x+7=18

Romashka-Z-Leto [24]

Five times x plus seven equals eighteen

7 0

2 years ago

Read 2 more answers

Function h models an object's height in feet after x seconds have passed. Which equation shows that the object's height increase

ASHA 777 [7]

Answer:

Step-by-step explanation:

We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.

8 0

2 years ago

What is the expanded form of 3×(x+3)^2

saul85 [17]

3x(x+3)^2
3x(x^2 + 6x + 9)
= 3x^3 + 18x^2 + 27x

answer
3x^3 + 18x^2 + 27x

7 0

3 years ago

the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k me

Simora [160]

Answer:

a) 27 m/s

b) 30 m/s

c) i) 3

ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey. At the start of the 50 seconds the speed is k metres per second. The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

$Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s$

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

$Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s$ c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

$Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3$

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

6 0

3 years ago