1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frez [133]
3 years ago
12

Please help with number 10

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer:

  • see below for a drawing
  • the area of one of the trapezoids is 20 units²

Step-by-step explanation:

No direction or other information about the desired parallelogram is given here, so we drew one arbitrarily. Likewise for the segment cutting it in half. It is convenient to have the bases of the trapezoids be the sides of the parallelogram that are 5 units apart.

The area of one trapezoid is ...

  A = (1/2)(b1 +b2)h = (1/2)(3+5)·5 = 20 . . . . square units

The sum of the trapezoid base lengths is necessarily the length of the base of the parallelogram, so the area of the trapezoid is necessarily 1/2 the area of the parallelogram. (The area is necessarily half the area of the parallelogram also because the problem has us divide the parallelogram into two identical parts.)

You might be interested in
Calculate the value of (6.72 10^5)+ (3.2 x 10^4)<br> Give your answer in standard form.
dangina [55]

Answer:

7.04\cdot 10^{5} <em>or 704,000</em>

Step-by-step explanation:

<u>Standard Form of Numbers</u>

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

6.72\cdot 10^{5}+3.2\cdot 10^{4}

Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}

6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}

Now we add:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}

It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by 10^5=100,000:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000

7 0
3 years ago
Оо<br> О<br> ср А<br> Divide:<br> 5/8 divided by 3/4
Angelina_Jolie [31]

Answer:

solution

5/8 ÷3/4

=5÷3=1.6666666667

=4÷8=2

=1<u>1</u>

<u> </u><u> </u><u> </u>2

3 0
3 years ago
How many rays can you make with 25
Luba_88 [7]
What do you mean 25?
8 0
3 years ago
19 - (- 41)<br> plzzzzzz help fast!
leonid [27]

Answer:

60

Step-by-step explanation:

Is because when you have two negative -- signs it became positive

19 + 41 = 60

3 0
3 years ago
Read 2 more answers
Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0
saw5 [17]

Answer:

The equation of the line is;

y = 3x + 18

Step-by-step explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18

4 0
3 years ago
Other questions:
  • it costs $9 to go to pete's pottery place to make your own bowls for $3 per bowl. Natalie goes to pets'so pottery place and make
    12·1 answer
  • A circle has a radius of 6 m. what is the circumference of the circle
    15·2 answers
  • Please help!!!!! Pre algebra (8th grade math) 2 questions double the points!!! At least help me with one;( Very easy but I’m not
    15·2 answers
  • Please help with this
    9·2 answers
  • The sum of two numbers is 53 and the difference is 15 . what are the numbers?
    7·1 answer
  • 11.63 as a mixed number
    6·2 answers
  • Airborne Airlines Inc. has a $1,000 par value bond outstanding with 20 years to maturity. The bond carries an annual interest pa
    13·1 answer
  • Evie read an article that said 6\%6%6, percent of teenagers were vegetarians, but she thinks it's higher for students at her lar
    11·1 answer
  • 2. What is the equation of the line that passes through the point (-4,-7) and is
    12·2 answers
  • Do both of them please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!