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
Aleonysh [2.5K]
2 years ago
7

This trapezoid is made up of two right triangles and one rectangle.

Mathematics
1 answer:
artcher [175]2 years ago
5 0

9514 1404 393

Answer:

  • each triangle: 29.75 in²
  • rectangle: 374 in²
  • total area: 433.5 in²

Step-by-step explanation:

The base of each triangle is half the difference between the bases of the trapezoid:

  (29 in -22 in)/2 = 7 in/2 = 3.5 in

The area of the triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(3.5 in)(17 in) = 29.75 in² . . . triangle area

__

The area of the central rectangle is the product of its base and height.

  A = bh = (22 in)(17 in) = 374 in² . . . rectangle area

__

The total area of the trapezoid is the sum of the areas of the two triangles and the area of the rectangle.

  total area = 2(29.75 in²) + 374 in² = 433.5 in² . . . total trapezoid area

You might be interested in
Define acute triangle. A. A triangle whose angles each measure less than 90o B. A triangle with one interior angle that measures
Juli2301 [7.4K]
(A) a triangle whose angles each measure less than 90°
5 0
3 years ago
Anna saves 3 dollars for every 10 dollars she earns.Patrick saves 5 dollars for every 20 dollars he earns.Do the two save money
NNADVOKAT [17]
The two do not save money at the same rate, because if you make common denominators of 20, Anna saves 6 dollars for every 20, while Patrick only saves 5 dollars for every twenty earned. So, Anna ends up saving more than Patrick.
4 0
3 years ago
Two lines intersecting at a right angle ?
MAXImum [283]

Answer:

are perpendicular

5 0
2 years ago
Read 2 more answers
How many combinations of 4 can you make of 25 basketball cards?
pochemuha

Answer: 6 if by whole number or 6.25 for decimals


Step-by-step explanation:


8 0
3 years ago
In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p
skelet666 [1.2K]

Answer:

\mathbf{P(X=5) =0.0888}    

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

\mathtt{P(X=x) =(^{n}_{x} )   \  \pi^x \  (1-\pi)^{n-x}}

\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} )   \  \pi^x \  (1-\pi)^{n-x}}

where;

n = 8 and π = 0.36

For x = 5

The probability \mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} )   \  0.36^5 \  (1-0.36)^{8-5}}

\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} )   \  0.36^5 \  (0.64)^{3}}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =({8 \times 7 } )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =0.0887645}

\mathbf{P(X=5) =0.0888}     to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5)\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})

{P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times  (0.36)^0  \times  (1-0.36)^8  \ )  +  \dfrac{8!}{1!(7!)} \times  (0.36)^1  \times  (1-0.36)^7  \ +\dfrac{8!}{2!(6!)} \times  (0.36)^2  \times  (1-0.36)^6  \ +  \dfrac{8!}{3!(5!)} \times  (0.36)^3  \times  (1-0.36)^5 +  \dfrac{8!}{4!(4!)} \times  (0.36)^4  \times  (1-0.36)^4  \  +  \dfrac{8!}{5!(3!)} \times  (0.36)^5  \times  (1-0.36)^3  \ )

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1  - P( x  ≤ 5 )

P ( x ≥ 6) = 1  - 0.9707

P ( x ≥ 6) = 0.0293

4 0
2 years ago
Other questions:
  • You pay $40 each month for satellite TV, plus $3.50 for every movie you purchase. Write and solve an equation to find the number
    6·2 answers
  • Simon is making wreaths to sell your 60 bucks 36 roses and 48 silk carnation do you want to percent number of items on each with
    5·2 answers
  • The shade of marble tile is measured by the amount of light reflected by the tile measured on a scale of 0-255. A perfectly blac
    11·1 answer
  • Devin is playing a game with 3 bonus rounds. In the first bonus round he gets 2 times the points, in the second bonus round he g
    11·1 answer
  • Evaluate the expression when a = 10.<br> a/4 + 1/3
    9·1 answer
  • Given RST~ ABC find value of x.
    12·1 answer
  • Is 6 classified as an integer?​
    5·1 answer
  • A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cook
    12·2 answers
  • PLEASE HELP WITH THIS MATH
    8·1 answer
  • Jellybeans are stored in a container. The jellybeans (on their own) weigh a net mass of 60g and the container weighs a net mass
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!