A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?

Answers

Answer 1

Answer: 25% because u have to divide the diameter of the logo to get the radius.

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Consider the irrational number 73
. Between what two integers is the value of this number?

Answers

I assume you mean $√(73)$ , not $73$ , which is not irrational.

Notice that $√(64)<√(73)<√(81)$ . This means $8<√(73)<9$ .

A surveyor is shooting a line to a point on a tree 55 m from his current position. After rotating his surveying instrument 25" to the left, he shoots another line to a point on a fence post 25 m away.Determine the distance between the point on the tree to the point on the fence post. ( show the appropriate formula , substitutions, and work. Give the distance to the nearest hundredth of a meter)

Answers

Take a look at the diagram below.
This problem looks like a great candidate for using the Law of Cosines.
If you know two sides, you can find the third side from the angle opposite or vice versa. Should the sides be a, b, and c, and their opp. angles A, B, and C...
a² + b² - 2ab(cosC) = c²

Let's plug in what we know...a = 55, b = 25, and m<C = 25".

55² + 25² - 2(55)(25)(cos(25")) = c²

One thing to note is that our angle measure is in seconds. Unless you're using Google's built in calculator, you'll wind up having to convert to degrees. 60 seconds in a minute, 60 minutes in a degree...blahblahblah.
Anyways, cos(25") comes out to be practically 1. (0.99999993)
Let's get evaluating.

3025 + 625 - 2750(1) = c²
3025 + 625 - 2750 = c²
900 = c²
30 = c

The tree is 30 meters from the fence post.

I need help solving this

Answers

The area of the triangle is 15*25*sin(30) = 187.5;

A swimmer swam 48 kilometers in d days. What is the value of d if the swimmer swam an average of 3.2 kilometers daily?

Answers

D = 15!

48 kilometers divided by 3.2 kilometers = 15. To prove this, 3.2 multiplied by 15 equals 48.

14 1/4 - 10 3/7 Reduce to lowest form....
step by step to see if my answer your answer

Answers

$14 (1)/(4)= (14\cdot4+1)/(4)= (57)/(4)$

$10 (3)/(7)= (10\cdot7+3)/(3)= (73)/(7)$

$\hbox {So, you have now } (57)/(4)-(73)/(7)=(57\cdot7)/(4\cdot7)-(73\cdot4)/(7\cdot4)= (399)/(28)-(292)/(28)=\boxed {(107)/(28) }$ $=\boxed { 3(23)/(28) }$

make them improper fractions:
14 1/4 would be 57/4
10 3/7 would be 73/7
Make them the same common denominator:
Times 57/4 by 7/7 =399/28
Times 73/7 by 4/4 =292/28
Now subtract them:
107/28
Now Simplify:
107/28= (3*28+23)/28=3+23/28= 3 23/28
The Answer:
3 23/28

35, 0.68, 0.20, 0.31 ordered greatest to least

Answers

0.20, 0.31, 0.68, 35.0

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Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00

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