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
Alex787 [66]
3 years ago
6

The top of a desk is shaped like a trapezoid. The bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk

is 791 square centimeters long. The height of the trapezoid is the width of the desk. Write and solve an equation to find the width of the desk. Please find an answer that actually helps..Thanks
Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

28 centimeters.

Step-by-step explanation:    

Let w be width of desk.

We have been given that the bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk is 791 square centimeters long.

Since the area of trapezoid is half the sum of parallel sides times its height.

\text{Area of trapezoid}=\frac{h}{2}*(a+b), where

h= Height of trapezoid,

a and b= Length of parallel sides of trapezoid.

We have been given that the height of the trapezoid is the width of the desk.

Upon substituting our given vales in above formula we will get,

791=\frac{w}{2}*(26.5+30)

791=\frac{w}{2}*(56.5)

791=w*28.25

w=\frac{791}{28.25}

w=28

Therefore, the width of trapezoid is 28 centimeters.

You might be interested in
A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
AleksAgata [21]

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

3 0
2 years ago
Solve for a. 1/5(25−5a)=4−a
aalyn [17]
1/5(25-5a)=4-a
⇔5-a=4-a
<span>NO SOLUTION</span>
3 0
3 years ago
I need help asap!!!! Please It’s an Algebra 2 question
Elza [17]

Answer:

8) Real; Rational

9) Real; Rational; Integer; Whole; Natural

10) Real; Rational

Step-by-step explanation:

Real numbers consists of the subsets:

Irrational Numbers:

Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.

Rational Numbers:

Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.

Integers:

Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.

Whole Numbers:

Whole numbers is the set of natural numbers that <em>includes</em> 0. So, whole numbers are: 0, 1, 2, 3... and so on.

Natural Numbers:

Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.

8) 1.\overline{3}=1.3333...

The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.

9) \sqrt4=2

The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.

10)-3/4=-0.75

The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.

7 0
3 years ago
Solve the following inequality. -21&gt; -7c
BigorU [14]
Divide both sides by -7, and flip the sign: 3 > c
6 0
3 years ago
Read 2 more answers
Which expression below gives the average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?
Paha777 [63]

Answer: -18

<u>Explanation:</u>

Average rate of change is slope: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.  Need to find the y-coordinates:

g(x) = -x² - 4x

g(6) = -(6)² - 4(6)

      = -36 - 24

      = -60

⇒ (6, -60)

g(8) = -(8)² - 4(8)

      = -64 - 32

      = -96

⇒ (8, -96)

m = \frac{-96 - (-60)}{8 - 6}

   = \frac{-36}{2}

   = -18

7 0
3 years ago
Read 2 more answers
Other questions:
  • Plz help MATH HW<br>explain/answer
    15·1 answer
  • All the correct answers please
    13·1 answer
  • . A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Mond
    10·1 answer
  • So could someone help me on this
    5·2 answers
  • 975 toffees are to be distributed among 23 children. Estimate the numbers of toffees that each child will get in nearest tens.
    10·1 answer
  • Francesca makes and sells jewelry. She uses the equation p = "285 + 45n to model the situation, where p is the amount of profit
    14·1 answer
  • What is 2/3 simplified and divided please show steps
    14·2 answers
  • 10 The price of a second-hand car is $6975.
    6·1 answer
  • An insurer knows that the proportion of smokers in a population is 0.3. Furthermore, it is known that: 40% of applicants who are
    13·1 answer
  • In 1934 there was an extreme drought and the Great Plains and the number 1,934 is the value of the nine and the hundredth place
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!