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
Snowcat [4.5K]
3 years ago
13

Find the area of the trapezoid below.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer: 54 cm²

Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.

The formula for the area of a trapezoid is shown below.

Area =\frac{1}{2} (^{b} 1 + ^{b}2)h

The <em>b's</em> represent the bases which are the parallel sides and <em>h</em> is the height.

So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have \frac{1}{2} (6 cm +12cm)(6 cm).

Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have \frac{1}{2}(18 cm)(6 cm).

\frac{1}{2} (18 cm) is 9 cm and we have 9 cm · 6 cm of 54 cm²

So the area of the trapezoid shown is 54 cm².

You might be interested in
The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in
NNADVOKAT [17]

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

<h3>How to calculate the domain of the function?</h3>

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

<h3>How to calculate the range of the function?</h3>

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

Read more on domain here: brainly.com/question/17003159

#SPJ1

3 0
1 year ago
Read 2 more answers
The graph of a system of equations will intersect at exactly 1 point?
andrey2020 [161]

Answer:

A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept. A system of equations can intersect at one point; this is when the lines have different slopes.

Step-by-step explanation:

4 0
3 years ago
Here is my question please answer and give a good explanation: Which expression cannot be used to calculate the total amount pai
Ierofanga [76]
I'm pretty sure the answer is D. because I don't think anyone would want to take their total meal cost and then multiply it by their tip to make it even larger. You would just add the tip to the meal cost.
6 0
3 years ago
5k race surveyed runners about their finishing times (f) and the number of previous races they had run (n). The organizers found
vichka [17]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 
SEE ATTACHED IMAGE, PLEASE.
 
The first thing we must do for this case is to define variables.
 n = number of 5k races covered
 f = end time.
 We have the following equation:
 f = -1.2n + 38.1
 We note that the slope of the line is:
 m = -1.2 minutes per race
 Therefore, the time decreases 1.2 minutes when the number of races increases n.
 Answer:
 
The model predicts that for each additional race to runner has run, the finishing time decreases by about 1.2 minutes

3 0
3 years ago
A rectangle has area x3 + 3x2 - 18x in.2 and width x + 6 in. What is the length in inches?​
Viefleur [7K]

Answer:

HOPE THIS HELPS

Step-by-step explanation:

The area = length * Width.

We know the width = X+6 inches and Area = x^3+3x^2–18x.

This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.

So the length is x^2–3x inches.

7 0
3 years ago
Other questions:
  • Convert the decimal expansion 0.1777... into a rational number.
    6·1 answer
  • What is timetablerockstar
    13·2 answers
  • Can some check if this is correct ?
    11·2 answers
  • If there is 25 babies in all and 5 start walking at 12 months what is the percentage?
    8·2 answers
  • There are cars, trucks, and motorcycles in our company parking lot. The ratio of cars to trucks to motorcycles is $4:3:2.$ If th
    12·1 answer
  • Together, angles A and B form a 90° angle. Angle A measures 54°. What is the measure of angle B?
    10·1 answer
  • Which expression is equivalent to - x/y
    8·1 answer
  • Which statements below are true? Select all that apply.
    6·1 answer
  • Please answer question for me ASAP!!!!!
    14·1 answer
  • Defective electronics: A team of designers was given the task of reducing the defect rate in the manufacture of a certain printe
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!