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3 years ago

A car increases, then decreases, its speed. Which table could represent the speed of the car?

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is

emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8] (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation. Solve using factoring...

(1/4)b² + 4b - 48 = 0 (subtract 48 from both sides)

b² + 16b - 192 = 0 (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0 (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0

b = -24

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

b = 8

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

h = (1/2)(8) + 8

h = 4 + 8

h = 12

8 0

3 years ago

What is the mode of the following numbers? 1,2, 10, 6, 4, 4, 6, 3, 1, 4

marysya [2.9K]

Answer:

The mode of the data set is 4.

Step-by-step explanation:

Hey there!
The mode of a data set is the most commonly occurring data value in that set.

To begin, we need to organize the data set in increasing order:

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Then, we can tally the frequency of each data value occurring in the data set:

1 - II

2 - I

3 - I

4 - III

6 - II

10 - I

We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.

Learn more about mode here: brainly.com/question/11163338

3 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!

expeople1 [14]

Answer:

Step-by-step explanation:

2nd one

6 0

3 years ago

A box contains 3 coins. One coin has 2 heads and the other two are fair. A coin is chosen at random from the box and flipped. If

Blababa [14]

Answer: Our required probability is $\dfrac{1}{2}$

Step-by-step explanation:

Since we have given that

Number of coins = 3

Number of coin has 2 heads = 1

Number of fair coins = 2

Probability of getting one of the coin among 3 = $\dfrac{1}{3}$

So, Probability of getting head from fair coin = $\dfrac{1}{2}$

Probability of getting head from baised coin = 1

Using "Bayes theorem" we will find the probability that it is the two headed coin is given by

$\dfrac{\dfrac{1}{3}\times 1}{\dfrac{1}{3}\times \dfrac{1}{2}+\dfrac{1}{3}\times \dfrac{1}{2}+\dfrac{1}{3}\times 1}\\\\=\dfrac{\dfrac{1}{3}}{\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{3}}\\\\=\dfrac{\dfrac{1}{3}}{\dfrac{2}{3}}\\\\=\dfrac{1}{2}$

Hence, our required probability is $\dfrac{1}{2}$

No, the answer is not $\dfrac{1}{3}$

5 0

3 years ago

Q10: Three men, four women and six children can complete a work in seven days. A woman does double

BartSMP [9]

Answer:

Step-by-step explanation:

I think so 6 because I think so

6 0

3 years ago