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3 years ago

What is the area of the trapezoid shown below?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

First find the area of the square (that is half made with the 11cm line). This is 9x11 which is 99. You have the 2 equal triangles to either side left. Because they are equal, you can work out that because it is 18cm - 9cm = 9cm and 9cm / 2 = 4.5cm, meaning that you have to do 4.5cm x 11cm to equal 49.5cm, but because it is a triangle you halve it, making 24.75cm (but because you are adding these together, you end up with 49.5cm anyway). Finally, you add thrm together : 99cm + 49.5cm which equals 148.5cm squared

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Determine whether the improper integral converges or diverges, and find the value of each that converges.

Ksju [112]

Answer:converge at $I=\frac{1}{3}$

Step-by-step explanation:

Given

Improper Integral I is given as

$I=\int^{\infty}_{3}\frac{1}{x^2}dx$

integration of $\frac{1}{x^2}$ is - $\frac{1}{x}$

$I=\left [ -\frac{1}{x}\right ]^{\infty}_3$

substituting value

$I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]$

$I=-\left [ 0-\frac{1}{3}\right ]$

$I=\frac{1}{3}$

so the value of integral converges at $\frac{1}{3}$

8 0

3 years ago

What do u add to 5 5/8 to make 9 ?

mixas84 [53]

Answer:

5+5=9and mark me as brainlestttt

8 0

2 years ago

Read 2 more answers

Mr. Wallace needs to divide his class or 23 students into 9 groups. Each group can have two or three students. If a is the numbe

IRINA_888 [86]

Answer:

d) Mr.Wallace can use the following equations:

a + b = 9

2 a + 3 b = 23

Step-by-step explanation:

Here, the total number of students = 23

Number of groups = 9

Each group can have 2 or 3 students.

a is the number of groups of 2.

⇒ Total students in a groups = a x (Number of student in each group)

= a x 2 = 2 a

b is the number of groups of 3

⇒ Total students in b groups = b x (Number of student in each group)

= b x 3 = 3 b

So, according to the question:

Total number of groups formed = 9

⇒ a + b = 9

Total number of students = 23

or Number of students in ( a group + b group ) = 23

⇒ 2 a + 3 b = 23

Hence, Mr.Wallace can use the following equations:

a + b = 9

2 a + 3 b = 23

6 0

3 years ago

Could somebody help me with Geometry? THANKS!!!!!!!!!!!!!!!!!!!!!

Vedmedyk [2.9K]

I'll do problem 1 to get you started.

The answer to problem 1 is <u>3400 miles</u>

============================================================

Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

----------------------------------------

Let's first find the length of segment AB

A = (x1,y1) = (0,0)

B = (x2,y2) = (400,300)

d = Length of AB

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\$

The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.

----------------------------------------

Now find the length of segment BC

B = (x1,y1) = (400,300)

C = (x2,y2) = (-800,800)

d = length of BC

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\$

----------------------------------------

The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

----------------------------------------

To summarize everything so far, we found these four side lengths

AB = 500
BC = 1300
CD = 800
DA = 800

The perimeter is going to be the sum of those four sides, leading to...

perimeter = sum of sides

perimeter = AB+BC+CD+DA

perimeter = 500+1300+800+800

perimeter = 3400 miles

This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.

5 0

3 years ago

Read 2 more answers

The equation Y-3 - 3(x-4) is written in point-slope form. What is the y-intercept of the equation?

3241004551 [841]

Answer:

vbvbvbvbvbvbvvbvbvbvbvbvbvbvbvbvbvbvbvbv

Step-by-step explanation:

4 0

2 years ago