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2 years ago

Evren used 24 centimeters of tape to wrap 3 presents. How many presents would Evren be able to wrap with 112 cm of tape?

Mathematics

1 answer:

Paul [167]2 years ago

3 0

Answer:

Step-by-step explanation:

Since we're given the conversion 24 cm for every 3 presents wrapped, we can divide our total amount of tape by this conversion, assuming a constant proportion.

Evren has 112 cm of tape. We can write the following proportion:

$\frac{112}{x}=\frac{24}{3}$ , where $x$ is the number of presents he can wrap with 112 cm.

Cross-multiplying, we have:

$24x=336,\\x=\frac{336}{24}=\boxed{14\text{ presents}}$

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You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

finlep [7]

The <u>correct answer</u> is:

9.2 ft.

Explanation:

The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
$d=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}$

We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7

First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7

Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0

It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0

Now we rearrange the terms to the x term is in front:
6x+7y-49=0

This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.

Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
$d=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}
\\
\\d=\frac{|6(6)+7(14)-49|}{\sqrt{6^2+7^2}}
\\
\\d=\frac{|36+98-49|}{\sqrt{36+49}}
\\
\\d=\frac{|85|}{\sqrt{85}}=\frac{85}{\sqrt{85}}=9.2
$

7 0

2 years ago

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side Line segment

prisoha [69]

Answer:

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its sides equal.

Perimeter of an equilaterial triangle = 3s where;

s is one side of the triangle.

Given the perimeter of ABC = 96mm

Substituting into the formula above to get s;

96 = 3s

s = 96/3

s = 32mm

Hence the length of one side of the triangle is 32mm

If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.

Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm

MC = 1/2 * 32mm

MC = 16mm

<em>Hence the length of Line segment MC is 16mm</em>

5 0

2 years ago

Read 2 more answers

Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing

Amiraneli [1.4K]

Answer:

I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.

Step-by-step explanation:

In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.

6 0

2 years ago

there are 64 singers in the choir. the tenors and sopranos are in separate row . there are 8 singers in each row. there are 4 ro

lilavasa [31]

4 since 64/8=8 there are 8 rows and if 4 are filled with tenors the rest must be filled with sopranos

8 0

2 years ago

At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.

oksano4ka [1.4K]

$53.69

45.50+8.19 (45.50 times 18%)=$53.69

8 0

2 years ago

Read 2 more answers