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2 years ago

Find the unit rate, and then use it to solve the problem.

1 answer:

3 0

If the company makes 50 deliveries in 5 days, he makes 50/5=10 deliveries per day. Therefore, 400 deliveries will take 400/10=40 days. D is the correct answer.

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Could someone please explain/help me to do this using Pythagoras theorem?

alex41 [277]

Answer:

$\boxed{478.02}$

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

8 0

3 years ago

Use known facts to find 9x5

Charra [1.4K]

If your asking to multiply 9x5 then the anwser is 45.

7 0

2 years ago

10.512×10^_3 write in proper scientific notation

IgorLugansk [536]

10512 is the answer since you just move the decimal place over to the right three times.

3 0

2 years ago

Read 2 more answers

Respond to each of the following questions. Be sure to include and thoroughly describe each transformation.

sergeinik [125]

Answer:

31. 1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

3) Vertically stretched by a factor of 3.

32. $g(x)=-(x+3)^2+7$

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

- If $f(x)+k$ , the function is shifted up "k" units.

- If $f(x)-k$ , the function is shifted down "k" units.

- If $f(x+k)$ , the function is shifted left "k" units.

- If $f(x-k)$ , the function is shifted right "k" units.

- If $-f(x)$ , the function is reflected over the x-axis.

- If $bf(x)$ and $b>1$ , the function is stretched vertically by a factor of "b".

31. Given the function $f(x)=x^{2}$ and the function $g(x) = 3(x - 1)^2 + 4$ , we can notice that the transformations from the graph of f(x) to the graph of g(x) are:

1) $f(x)+k$

2) $f(x-k)$

3) $bf(x)$ , being $b>1$

Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:

1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

3) Vertical stretch by a factor of 3.

32. Knowing the parent function:

$f(x)=x^{2}$

And given the transformations:

1) Reflection over the x-axis.

2) Horizontal shift left 3 units.

3) Vertical shift up 7 units.

We can define that the function g(x) is:

$g(x)=-(x+3)^2+7$

7 0

3 years ago

A liquid storage container is being filled at a constant rate. The container is being filled at a rate of 1/3 gallon per 1/4 min

denpristay [2]

1/4 x 16 = 4 min
so
1/3 x 16 = 16/3

8 0

3 years ago

Read 2 more answers