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KonstantinChe [14]
2 years ago
13

What is the area of a trapezoid that has bases measuring 19 centimeters and 23 centimeters, and a height of 14 centimeters?

Mathematics
1 answer:
klemol [59]2 years ago
6 0

Answer:The area is

294

square units.

Step-by-step explanation:

A=12×(19+23)×14=(19+23)×7=42⋅7=294

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There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose. To play you r
Taya2010 [7]
Outcome on winning = $100 - $20 = $80
Outcome on losing = $20

Probability of winning = 1/6
Probability of losing = 5/6

Expected Value = 1/6 (80) +5/6(-20) = -3.333

This shows on average from each game, the game earns $ 3.333.

So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330 

So, the answer to this question is option A
5 0
2 years ago
A flatbed truck travels 144 miles in 5 hours. A semi-trailer truck travels 327 miles in 4 hours. A tanker truck travels 589 mile
GenaCL600 [577]

Answer:

<u>The semi-trailer truck has the fastest average speed</u>

Step-by-step explanation:

Let's recall that the formula of the average speed is:

Average speed = Distance/Speed

Now, we can calculate the average speed for each class of vehicle, as follows:

Flatbed truck average speed = 144/5 = 28.8 miles per hour

<u>Semi-trailer truck average speed = 327/4 = 81.75 miles per hour</u>

Tanker truck average speed = 589/15 = 39.27 miles per hour

Which truck has the fastest average speed?

<u>The semi-trailer truck has the fastest average speed</u>

4 0
2 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function: y=4x^2-8x-3
In-s [12.5K]

D. x= -1; vertex: (-1,-7) 
6 0
3 years ago
What is the product?( square root 3x+ square root 5) (square root 15x+ 2 square root 30)
hichkok12 [17]
(\sqrt{3x}+\sqrt5)\cdot(\sqrt{15x}+2\sqrt{30})\\\\=(\sqrt{3x})(\sqrt{15x})+(\sqrt{3x})(2\sqrt{30})+(\sqrt5)(\sqrt{15x})+(\sqrt5)(2\sqrt{30})\\\\=\sqrt{(3x)(15x)}+2\sqrt{(3x)(30)}+\sqrt{(5)(15x)}+2\sqrt{(5)(30)}\\\\=\sqrt{45x^2}+2\sqrt{90x}+\sqrt{75x}+2\sqrt{150}\\\\=\sqrt{9x^2\cdot5}+2\sqrt{9\cdot10x}+\sqrt{25\cdot3x}+2\sqrt{25\cdot6}\\\\=\sqrt{9x^2}\cdot\sqrt5+2\sqrt9\cdot\sqrt{10x}+\sqrt{25}\cdot\sqrt{3x}+2\sqrt{25}\cdot\sqrt6
=3x\sqrt5+2\cdot3\sqrt{10x}+5\sqrt{3x}+2\cdot5\sqrt6\\\\=3x\sqrt5+6\sqrt{10}+5\sqrt{3x}+10\sqrt6
3 0
3 years ago
Read 2 more answers
28 prime factorization
sineoko [7]

Answer:

2 x 2 x 7, or 2^2 x 7

Step-by-step explanation:

Let us use prime factorization to find the prime numbers that make up 28:

28 = 2 x 14            

2 is a prime number, 14 is not, so we have our first prime, 2.

14 = 2 x 7      

We then further break the number down into two prime numbers, 2 and 7. Since 2 and 7 are prime and we can't break them down any further our answer is 2 x 2 x 7, or 2^2 x 7.

3 0
3 years ago
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