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3 years ago

. The product of 4.7 and 6.5 equals 30.55. What is the product of 4.7 and 4.7 and

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

The answer is 3.5 & 355 because the decimal shifts to the left or right, you move the decimal in the answer too.

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> There are 14 books on a shelf. 6 of these books are new. The rest of them are used (a) What is the ratio of new books to us

Trava [24]

Answer:

a) 6:8

Because you have 14 books total if you substract 14 - 6= 8, so now you have

14 Books total

6 New Books

8 Used Books.

So, the ratio of new books to used books is 6:8 or if you simplified is 3:4.

b) 8:14

Because you have 8 used books compare to 14 books total. If you simplified your fraction you'll have 4:7

Step-by-step explanation:

5 0

2 years ago

emma lee is shopping for supplies for her science project. The regular price of the supplies at a hardware store is $20. The sto

zmey [24]

Answer:

First, you add 30 and 20, and you get 50. Then, since 30 is your highest priced item, you find 0.30 of 30, which is 9. After that you would subtract 9 from 30, which gives you 21. Therefore, we know the price is 41

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

Jackson borrows $400 with an interest rate of 1.5%.How much interest will he pay after 4 years?

mafiozo [28]

Answer:

24 interest after 4 years

Step-by-step explanation:

I just took 400 and multiplied it to 1.5%(.015) to get 6 and then multiplied that to 4 to get 24 and you could it if you want. Ask if you have a question.

6 0

3 years ago

(08.06A) The line of best fit for a scatter plot is shown below:

alexira [117]

Answer:

Step-by-step explanation:

lets pick 2 points on the line....(6,5) and (10,3)

slope = (y2 - y1) / (x2 - x1)

(6,5)....x1 = 6 and y1 = 5

(10,3)....x2 = 10 and y2 = 3

now we sub

slope = (3 - 5) / (10 - 6) = -2/4 = -1/2

now we use y = mx + b

slope(m) = -1/2

u can use either of ur points...I will use (6,5)...x = 6 and y = 5

now we sub and find b, the y int

5 = -1/2(6) + b

5 = -3 + b

5 + 3 = b

8 = b

so ur equation is : y = -1/2x + 8 <===

6 0

2 years ago