answer.
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
EastWind [94]
2 years ago
10

A parallelogram has a base of 10 centimeters and a height of 4 centimeters. What is the area of the parallelogram?

Mathematics
1 answer:
Illusion [34]2 years ago
5 0

Step-by-step explanation:

Area of a parallelogram=base×height

=10×4

=40cm^2

You might be interested in
the dot plot above identifies the number of pets living with each of 20 families in an apartment building .what fraction of fami
harkovskaia [24]

Answer:

B. ⅕

Step-by-step explanation:

Fraction of families having more than 2 pets = families with pets of 3 and above ÷ total number of families in the apartment

From the dot plot above, 3 families have 3 pets, and 1 family has 4 pets.

Number of families with more than 2 pets = 3 + 1 = 4

Fraction of families with more than 3 pets = \frac{4}{20} = \frac{1}{5}

4 0
1 year ago
What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.
Juliette [100K]

Answer:

(2,1)

Step-by-step explanation:

We can see  that the given triangle.

The coordinates of A are (-1,5) .

The coordinates of B are (-1,-3).

The coordinates of C are  (5,-3).

Distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(-3-5)^2+(-1+1)^2}=8 units

BC=\sqrt{(5+1)^2+(-3+3)^2}=6 units

AC=\sqrt{(5+1)^2+(-3-5)^2}=10 units

Pythagoras theorem:(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}

AB^2+BC^2=8^2+6^2=100

AC^2=(10)^2=100

Therefore, AC^2=AB^2+BC^2

When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.

Hence, the given triangle is  a right triangle.

We know that circum-center of right triangle is the mid point of hypotenuse.

Mid-point formula:x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Using this formula then, we get

Mid-point of hypotenuse AC is given by

x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1

Hence, the circum-center of triangle is (2,1).

7 0
2 years ago
Your promotional budget for the year is $300 for personal selling, $300 for sales promotion, \$1,500 for advertising, and $500 f
aleksandr82 [10.1K]

Answer:

to get the total promotion budget for the year we will add $300 for personal selling plus $300 for sales promotion plus $1500 for advertising plus $500 for image promotion to the a total of 2600 dollars

8 0
2 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
fredd [130]
Let d =  the length of the trail, miles

Note that
distance = speed * time
or
time = distance / speed.

The time, t₁, to travel the trail at 3 miles per hour is
t₁ = d/3 hours
The time, t₂, to travel back at 5 miles per hour is
t₂ = d/5 hours

Because the total time is 3 hours, therefore
t₁ + t₂ = 3
d/3 + d/5 = 3
d(1/3 + 1/5) = 3
d(8/15) = 3
Multiply each side by 15.
8d = 3*15 =45
d = 45/8 = 5 5/8 miles or 5.625 miles
Total distance = 2*d = 11.25 miles or 11 1/4 miles.

t₁ = 5.625/3 = 1.875 hours or 1 hour, 52.5 minutes
t₂ = 5.625/5 = 1.125 hours or 1 hour , 7.5 minutes

Answers ;
Time to travel at 3 miles per hour = 1.875 hours (1 hour, 52.5 minutes)
Time to return at 5 miles per hour = 1.125 hours (1 hour, 7.5 minutes)
Total distance traveled = 2*d = 11.25 miles.

6 0
2 years ago
Read 2 more answers
Arthur borrowed $2,100 from the bank. 3 years later, Arthur owes the bank $2,478. What was the percentage rate of simple interes
ASHA 777 [7]

Answer:

Percentage Rate=6%

Step-by-step explanation:

Total borrowed=$2,100

Time=3 years

Rate=?

Total amount owed after 3 years= total borrowed + simple interest

$2,478=$2,100 + x

X=$2,478 - $2,100

=$378

The simple interest=$378

Simple interest=P×R×T

Where,

P= principal=$2,100

R=Rate=?

T=Time=3 years

Simple interest=$378

Simple interest=P×R×T/100

$378=$2,100×R×3/100

$378=$6,300R/100

$378=$63R

R=$378/$63

R=6

Therefore,

Rate=6%

7 0
2 years ago
Read 2 more answers
Other questions:
  • Ms.Fox asked her class "is the sum of 4.2 and the square root of 7 irrational or rational?" Patrick answered that the sum would
    7·2 answers
  • luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice . she gives 5/8 cup of juice to mags . how much is left in lu
    9·2 answers
  • A 3-d printer was purchased for $20,000 and had a value of $12,000 after 2 years of use. assuming that the value is decreasing e
    7·1 answer
  • Lamar and lawrence run a two-person lawn-care service. they have been caring for mr. johnson's very large lawn for several years
    8·2 answers
  • Express 0.009238 to 3 significant figures​
    5·1 answer
  • Which of the following phrases are inequalities?Choose 2 answers: A. (8 + f)(8 - f) > 36
    10·1 answer
  • Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determinatio
    15·1 answer
  • The temperature in degrees Kelvin is 273 degrees less than the temperature in degrees Celsius. Use the formula LaTeX: C=\frac{5}
    12·2 answers
  • A customer decides to build a fence around the backyard. The yard is rectangular, and with the house an equal distance from both
    14·1 answer
  • There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!