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3 years ago

Explain how to do B and D please

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

18 ft/ 20 min = 0.90 ft/min is the greatest speed.

Step-by-step explanation:

You must find the unit rate of change for all four items: A through D. This will require some conversion of units of measurement. Next you must determine which of your four results is the greatest / fastest.

A. 18 ft / 20 min = 9/10 ft/min, or 0.90 ft/min

B. 90 ft / 2.5 hr = 90 ft / 150 min = 6/10 ft/min, or 0.6 ft/min

C. 20 yd / 1.5 hr = 60 ft / 90 min = 6.7/10 ft/ min, or 0.67 ft/min

D. 3 2/3 yd / 15 min = (11/3)(3 ft) / 15 min = 7.3/10 ft /min, or 0.73 ft/min

Arranged in increasing size, we have:

6/10 ft/min, 6.7/10 ft/min, 7.3/10 ft/min and 9/10 ft/min.

The first answer choice, 9/10 ft/min, is the greatest speed.

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I can’t figure out what it is asking. How do you find where each line crosses the y-axis?..

EleoNora [17]

They want you to find the y intercept. This is the point where the curve or line crosses the y axis. To find the y intercept, plug in x = 0

y = 3x+4
y = 3*x + 4
y = 3*0 + 4 ... notice x has been replaced with 0
y = 0 + 4
y = 4

So when x = 0, the value of y is y = 4. This means the y intercept is located at the point (0,4). This is all for problem 1. Problem 2 is handled much the same way.

8 0

3 years ago

Read 2 more answers

Cos pi/4 cos pi/6= 1/2(___pi/12+cos 5pi/12) fill in the blank

inessss [21]

Answer:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So the blank is cos.

Step-by-step explanation:

There is an identity for this:

$\cos(a)\cos(b)=\frac{1}{2}(\cos(a+b)+\cos(a-b))$

Let's see if this is fit by your left hand and right hand side:

So $a=\frac{\pi}{4}$ while $b=\frac{pi}{6}$ .

Let's plug these in to the identity above:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

Ok, we definitely have the left hand sides are the same.

Let's see if the right hand sides are the same.

Before we move on let's see if we can find the sum and difference of $\frac{\pi}{4}$ and $\frac{\pi}{6}$ .

We will need a common denominator. How about 12? 12 works because 4 and 6 go into 12. That is 4(3)=12 and 6(2)=12.

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{3\pi}{12}+\frac{2\pi}{12}=\frac{5\pi}{12}$ .

$\frac{\pi}{4}-\frac{\pi}{6}=\frac{3\pi}{12}-\frac{2\pi}{12}=\frac{\pi}{12}$ .

Let's go back to our identity now:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{5\pi}{12})+\cos(\frac{\pi}{12}))$

We can rearrange the right hand side inside the ( ) using commutative property of addition:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So comparing my left hand side to their left hand side we see that the blank should be cos.

4 0

3 years ago

Give an example of two numbers that both have six digits, it the greater number is determined by the hundreds place.

spayn [35]

Answer:

565,463 and 565,863

Step-by-step explanation:

7 0

4 years ago

If a person earned $32,000 a year and received $800 raise, what was the percent increase in her salary?

anygoal [31]

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

4 0

4 years ago

Read 2 more answers

I will rate you brainliest

jok3333 [9.3K]

Answer:

Option (2)

Step-by-step explanation:

In an arithmetic progression,

$a_1,a_2,a_3.........a_{n-1},a_n$

First term of the progression,

a = $a_1$

Common difference 'd' = $(a_2-a_1)$

Recursive formula for the sequence,

a = $a_1$

$a_n=a_{n-1}+d$

By applying these rules in the recursive formula,

$a_1=\frac{4}{5}$

$a_n=a_{n-1}+\frac{3}{2}$

Common difference 'd' = $\frac{3}{2}$

Therefore, Option (2) will be the answer.

4 0

3 years ago