Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 5 mm and 12 mm. Find the perimeter of the piece of jewelry.

Answers

Answer 1

Answer:

30 mm.

Step-by-step explanation:

The longest side = sqrt(5^2 + 12^2)

= sqrt169

= 13.     (Using Pythagoras).

So the perimeter = 5+12+13

= 30 mm.

Answer 2

Perimeter of the piece of jewelry = 30mm

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".

Given,

Shape of jewelry is right angle triangle ABC

length of shorter sides,

AB = 5mm

BC = 12mm

By Pythagoras theorem,

AC² = AB²+BC²

AC = √(5² + 12²)

AC = √169

AC = 13 mm

Perimeter of Triangle = AB + BC + AC

                                    = 5 + 12 + 13

Perimeter of Triangle = 30

Hence, 30 mm is the perimeter of jewelry.

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Related Questions

The persons income increased from 27,000 to 40,000 over the last year. What is the percent change

Answers

Answer:

32.5

Step-by-step explanation:

Which function has zeros at x = 10 and x = 2?

f(x) = x2 – 12x + 20
f(x) = x2 – 20x + 12
f(x) = 5x2 + 40x + 60
f(x) = 5x2 + 60x + 100

Answers

Answer:

f(x) = x2 – 12x + 20

Step-by-step explanation:

if it has those zeros, then it is (x-10)(x-2)

if you multiply that out, you get x^2 - 12x +20

a carpet cleaning service charges a one-time service fee of $100 with an additional $15 per hour for their business. write a linear equation that represents the total cost (y) for the hours work (x)

Answers

Answer:

The answer is y= 100 +15x

Step-by-step explanation:

You start with a service fee of $100

$15 per hour

x because the amount of hours can vary

y which is the total cost

y= 100+ 15x

Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Answers

Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!

Plz help well mark brainliest if you are correct!!…

Answers

Answer:

A. y<-3

Step-by-step explanation:

Sarah buys a new car for $26,500 and pays 3% down payment the terms of her loan 4.5% apr over 4 years. How much is her monthly payment?
A. $586.16
B.558.99
C.562.61
D.549.74

Answers

Answer:

i guess it's will be C

Step-by-step explanation:

Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone and accessories. Enter your answer in the box.

Answers

Answer:

495-75=m m=420

Step-by-step explanation:

He needs to save 495 dollars, and hes already saved 75

and needs to find out how much more he needs to save to have 495 dollars

To do this, take 495 and subtract 75. This is how we get the inequality

495-75=m

From here it is simple, just subtract 75 from 495 to get 420

what are the measurements of 1 and 2?

Answers

Answer:

8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces

Question 3 of 10
Find tan 0

Answers

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]

Pls help I’ll brainlest ASAP

Answers

Answer:

slope = change over y/change over x

point 1: (-3,-4)

point 2: (2,3)

(-4-3)/(-3-2)=(-7)/(-5)=7/5

y=mx+b -> m=slope, b=y-intercept

y=(7/5)x+b

plug in one of the points

3=(7/5)*2+b

3=14/5+b

b=1/5

slope = 7/5, y-intercept = (0,1/5)

Help help math math math

Answers

Answer:

113

Step-by-step explanation:

The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3

180-67=113

Answer:

∠3 measures 113°

Step-by-step explanation:

These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.

∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.

[tex]x+67=180\\x=113[/tex]

∠3 measures 113°

Write as a product 4x^4+8x^3-2x^2

Answers

Answer:

764x

Step-by-step explanation:

4^4=256

8^3=512

2^2=4

256-4+512=764

764x

Answer:

2x^2(2x^2+4x-1)

Step-by-step explanation:

The GCF is 2x^2 so pull apart each number and you will get your answer.

please help. one algebra question for 20 points

Answers

Answer:

f(-18) = -5

Step-by-step explanation:

Substitute−18forxiny=

1/3 x+1:

y= 1/3x+1

y= 1/3(−18)+1

y=−5(Simplify both sides of the equation)

Which of the following numbers can be expressed as a decimal that terminates? 3/2,2/3,3/4,5/7


Answers

Answer:

Step-by-step explanation:

An example of one fraction that does NOT terminate is 2/3.

2/3 = 0.666666666666666 ....  That's the easy way to tackle the problem. Pick out the ones that don't terminate.

5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.

5/7 = .571428 571428 which goes on forever.

So the two that do terminate are

3/2 which = 1.5

3/4 which = 0.75

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

You are correct it is indeed mortgage!

Step-by-step explanation:

This is because a fixed expense is something that cannot be changed easily. Like a mortgage, car payments, rent payments, or insurance.

Hope this helps, I tried to just briefly explain! :)

find all complex solutions of 5x^2+5x+4=0

Answers

Answer:

-1/2 + i/10 sqrt(55)  , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5  b= 5  c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

---------------------------------

  2a

-5 ± sqrt( 5^2 - 4(5)(4))

----------------------------------

2(5)

-5±sqrt( 25 - 80)

----------------------------

10

-5± sqrt(-55)

--------------------------

10

-5/10  ± 1/10  i sqrt(55)

-1/2 + i/10 sqrt(55)  and -1/2 - i/10 sqrt(55)

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

Over the summer, Paulo opens a dog-washing business and begins with $32. The table shows how much he earns and spends each week. He works for 8 weeks washing dogs. When he starts back at school, he budgets $60 to spend each week. How many weeks pass before he needs to wash more dogs?

Answers

I think 16 weeks sorry if I am not right

4) Change the recurring decimal 0.18 to a fraction. (2marks)
You must show all your working.

Answers

Answer:

18/100 or 9/50

Step-by-step explanation:

First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.

please i need help with this

Answers

Answer:

1.) Smith

2.) Johnson

Answer:

Step-by-step explanation:

Ordering decimals
Order these numbers from least to greatest.
1.509, 1.4062, 1.6, 1.56

Answers

Answer:

1.4062, 1.509, 1.56, 1.6

Step-by-step explanation:

1509/1000, 14062/10000, 16/10, 156/100

15090, 14062, 16000, 15600

1.4062, 1.509, 1.56, 1.6

A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?

Answers

Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

The students who went camping are divided according to the following fractions:

[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.

The sum of all these fractions is 100% = 1, hence:

[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]

[tex]84x + 61 = 84[/tex]

[tex]84x = 23[/tex]

[tex]x = \frac{23}{84}[/tex]

Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

A similar problem is given at https://brainly.com/question/24372153

do my teeth look straight?
answer asap

Answers

Answer:

yeah your teeth is good and strong too

yes they look very straight

100 points brainlyest if right

Answers

Answer:

I don't know the question

Step-by-step explanation:

I would love to help tho

Answer:

you never put the question up for us to answer it

Step-by-step explanation:

A self-storage center has many storage rooms that are 6 ft wide, 10 feet deep, and 12 ft high. What is the volume of the room?

Answers

The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet

The dimensions are given as:

[tex]Width = 6ft[/tex]

[tex]Depth = 10ft[/tex]

[tex]Height = 12ft[/tex]

The volume of the storage room is the product of the dimensions.

So, we have:

[tex]Volume= Width \times Depth \times Height[/tex]

Substitute values for Width, Depth and Height

[tex]Volume= 6ft \times 10ft \times 12ft[/tex]

Multiply the dimensions

[tex]Volume= 720ft^3[/tex]

Hence, the volume of the storage room is 720 cubic feet

Read more about volumes at:

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4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)


1.
Oliver owes his sister $27.

2.
A building is 38 feet tall.

3.
Erica jumped 2.7 feet above ground.

4.
The scuba diver was 38 feet below sea level.

5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7

Answers

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

Given that the points (-32, - 10) and (-74, 11) lie on a line, what is the
equation of the line?

Answers

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

The point-slope equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

where m represents the slope, and is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through the points (-32, - 10) and (-74, 11)

[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]

Substitute these points into the slope formula to get the slope of the line

[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]

Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation

[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

What is the product?
(38b* )-822

Answers

Answer:

[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]

Step-by-step explanation:

[tex]\sf (3a^2b^4)(-8ab^3)[/tex]

We'll use rule of exponents to simplify expression.

[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]

Now, use the commutative property of multiplication.

[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]

In order to multiply power of the same base, we add their exponents.

[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]

→ Add exponents:

[tex]\sf 3^1(-8)^1a^3b^7[/tex]

→ Multiply 3* -8

[tex]\sf -24a^3b^7[/tex]

__________________________________________

[tex]5/4+3/4+1/4=[/tex]

Answers

5/4 + 3/4 + 1/4

=9/4

= 2 1/4

= 2.25

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the domain {-3, -2, -1, 0, 1} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.

y = 2-x

Answers

the side length of NS is 7.81 units.

Pls help I’ll failing ASAP this is due in 10 minutes I need help with 5 and 8

Answers

Answer:

5) 3/5

8) 2/-4 or -2/4

Step-by-step explanation:

5, based on your work, is 3/5 because we use rise (3) and run (5)

And 8, based on your work, is 2/-4 or -2/4 because you go up 2, and go to the left 4.

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