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
sertanlavr [38]
2 years ago
6

Find the area of the parallelogram below.

Mathematics
2 answers:
V125BC [204]2 years ago
8 0

The formula for finding the area of a parallelogram is Base x height

A = Bh

In this case the base (the longest side) is 8 cm and the height (distance between the obtuse angle and the base) is 5 cm

A = 8 * 5

A = 40 cm²

Hope this helps!

~Just a girl in love with Shawn Mendes

VLD [36.1K]2 years ago
6 0

Answer: 40cm²

The formula is Base × Height. We can find the area if we multiply the Base and Height.

A = Bh

As for that, the Base is the upper length, which is 8 and the height is the obtuse angle inside the parallelogram, which is 5.

Since we got our lengths, we can solve.

Remember how I said the formula is A = Bh. (Area = Base × Height)

So, we can multiply 8 by 5 to get the area.

8 times 5 will equal 40.

Hence, 40cm² is the answer.

You might be interested in
Find the value of X<br><br>A: 2<br>B: 4<br>C: 6<br>D: 8​
11111nata11111 [884]

Using the Pythagorean theorem:

x^2 + (x-2)^2 = (√20)^2

Simplify the right side:

x^2 + (x-2)^2 = 20

Subtract 20 from both sides:

x^2 + (x-2)^2 - 20 = 0

Factor:

(x-4)(x+2) = 0

Solve for each x:

x = 4 and x = -2

The side cant be a negative value, so the answer would be x = 4

The answer is B.

3 0
3 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
3 years ago
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti
andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of  first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

A + B = 30

Then the total amount of pure antifreeze in the mixture will be:

0.2A + 0.7B = 0.35 * 30

0.2A + 0.7B = 10.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

-0.7A -0.7B = -0.7*30

-0.7A -0.7B = -21

-0.7A -0.7B = -21

               +

0.2A + 0.7B = 10.5

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

-0.5A = -10.5

A = \frac{-10.5}{-0.5}

A = 21\ gallons

We substitute the value of A into one of the two equations and solve for B.

21 + B = 30

B = 9\ gallons

3 0
3 years ago
What’s the answer ????
Temka [501]

Answer:

Answer is 4/25

Step-by-step explanation:

0.16*100 = 16 which would allow us to say 16/100

now you can divide 16 and 100 by 4 which would be

16/4 = 4 and 100/4= 25

therefore the answer is 4/25

8 0
3 years ago
Consider the two data sets. Which has the higher mean and median? What is the higher mean and median?
Klio2033 [76]

Set 1 mean - 23.625

Set 2 mean - 23.5

Set 1 median - 23.5

Set 2 median - 22.5

This shows the answer is D :)

8 0
3 years ago
Other questions:
  • Evaluate the following expression for x = 5 and y=-2<br>-5x2 - (x + y)​
    10·1 answer
  • Select the component form of the vector shown.
    7·2 answers
  • Help me with number 3
    5·1 answer
  • The width of a rectangular box is 4 times its length, and its height is 6in more than its length. The volume of the box is 102in
    8·1 answer
  • Find the product of -5 1/3 • 4 2/5
    13·1 answer
  • Pre-Calculus - Systems of Equations with 3 Variables please show work/steps
    6·1 answer
  • Fill in the table using this function rule.<br> y=4+2x<br> X Y<br> 5<br> 7<br> 9<br> 10
    11·2 answers
  • 9. Suppose on a Saturday morning you can cut 3 lawns in 5 hours, and your friend can cut 5 lawns in 8
    12·2 answers
  • Which of the following statements is true?
    10·2 answers
  • Which polygon is a pentagon?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!