The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?

Answers

Answer 1

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

Answer 2
In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.

Related Questions

Christopher spent a total of 52.50 at a bookstore he purchased a calendar for 9 and three books that cost the same

Answers

Answer:

Cost of each book = 14.5

Step-by-step explanation:

Given:

Total amount spend = 52.50

Cost of calendar = 9

Number of books = 3

Assume;

Cost of each book = a

Find:

Cost of each book

Computation:

Total amount spend  = Cost of calendar + Number of books(Cost of each book)

52.50 = 9 + 3(a)

Cost of each book = 14.5

The Ling family has 4 boxes of cereal. They ate 3/4 of the cereal during the week. Part A: Write an expression for 3/4 of 4 boxes of cereal

Answers

Hope it helps

4=x/(3/4)

what is 40% off of $400.00

Answers

40% off of $400 is 240

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=2y-7 and 4x+y=71 *

Answers

Answer:

The solution is (15, 11)  There is only one solution.

Step-by-step explanation:

Solve this system using substritution.  In the second equation replace x with 2y - 7, obtaining:

4(2y - 7) + y = 71, which simplifies as follows:

8y - 28 + y = 71, or

9y = 99.  then y must be 11.  If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15

The solution is (15, 11)  There is only one solution.

Calculate the area of the isosceles trapezium drawn below:

Answers

Answer:

the formula is :

area = 1/2(b1 + b2) x h

in this case it's :

area = 1/2(3 + b2)x 4

You will need the length of the lower base to solve it.

Step-by-step explanation:

PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer is d because there should be tests for both groups.

-5x+9=24
WILL GIVE BRAINLIEST

Answers

Answer:

x = -3

Step-by-step explanation:

24-9= 15

15/-5=-3

Answer:

-3.

Step-by-step explanation:

-5 x -3 = 15

15 + 9 = 24

Hope I helped, Have a good day!

Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice

Answers

Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].

Given:

The expression is

[tex]8a+16c[/tex]

To find:

Factor form of the given expression by using GCF.

Solution:

We have,

[tex]8a+16c[/tex]

Factors of each term:

[tex]8a=2\times 2\times 2\times a[/tex]

[tex]16c=2\times 2\times 2\times 2\times c[/tex]

The common factors are 2, 2 and 2. So,

[tex]GCF(8a+16c)=2\times 2\times 2[/tex]

[tex]GCF(8a+16c)=8[/tex]

Taking out the greater common factor (GCF) in the given expression, we get

[tex]8a+16c=8(a+2c)[/tex]

Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.

PLEEEEEEASE HELPPPPPP

Answers

Answer:

Row 1

Step-by-step explanation:

If you divide the number of oranges in each row by their number of boxes, you always get 13 oranges per box.

(156/12 = 13)

(130/10 = 13)

(91/7 = 13)

(65/5 = 13)

But, in Row 1, he made a mistake: 13/2 = 6.5 The mistake here is that Row 1's "number of boxes" should be 1, not 2, to make this eqation true. If we did this, then we will get 13 as our "number of oranges" instead of 6.5, becuase the equation will now be 13/1 = 13 and his table will be correct.

Row 1 has the mistake.

I need help with the equation.

Answers

Answer:

h;ikl

Step-by-step explanation:

The equation of the line through (3, - 4) with slope 2/3

Answers

the answer is 2/3x -6

True or False: {5, 6, 7...10) is an example of an infinite set.

Answers

True


Explain - true
This is true. The elements of the set can’t be counted in a finite number.

Find the 8th term of the geometric sequence 6, 18, 54, ...

Answers

Answer:

13122

Step-by-step explanation:

6 x 3 = 18; 18 x 3 = 54; continue to do this 8 times and you get 13122!

Answer:

a(8) = 6*3^7 = 13122

Step-by-step explanation:

Each new term is equal to the previous one times the common ratio, r, which in this case is 3.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).

In this particular case, we have a(n) = 6*(3)^(n -1).

The 8th term of this sequence is a(8) = 6(3)^(8 - 1), which works out to:

a(8) = 6*3^7 = 13122

What do I do!! mike cuts 4 equal pieces. What is the angle measure of each piece? Write and solve the equation

Answers

Question:

Mike cut a round pizza into 4 equal pieces. What is the angle measure of each piece?

Answer:

[tex]Angle = 90[/tex]

Step-by-step explanation:

Given

Round pizza

[tex]Pieces = 4[/tex]

Required

Angle measure of each

In a round object, the total angle is 360.

So, the angle of each piece is calculated by dividing 360 by the number of pieces (4)

So, we have:

[tex]Angle = 360/4[/tex]

[tex]Angle = 90[/tex]

A bird's path is modeled by the following graph. Use the graph below to answer
the questions to the right:
h (height (feet)

A) what is the greatest height the bird reached?

B) At 5 seconds, was the bird going up or down?

Answers

Answer:

The greatest height the bird reached was 26 feet

At 5 seconds the bird was going down.

Step-by-step explanation:

What is 8^3x4+6^2-37+69x2^3?




I saw a hummingbird o-o

Answers

Answer:

awwwww

Step-by-step explanation:

Cool!

Answer:

:O That's so cool

Step-by-step explanation:

I've seen only one for the entire time I've been alive, lol

16/21 × 20/24 × 28/15​

Answers

Answer:

32/27

Step-by-step explanation:

Answer:

32/27

Step-by-step explanation:

16/21 × 20/24 × 28/15

16/21 × 5/6 × 28/15

16/3 × 5/6 × 4/15

16/3 × 1/6 × 4/3

8/3 × 1/3 × 4/3

32/27 is your answer

What is 3.2 × 10^3 × 2000 in standard form

Answers

Answer:

The answer is

6.4×10^6

A box of chocolates costs $12. They are on sale 50% off. How much will you pay after a 9% sales tax?

Answers

I think it $6.54 and let me know if I’m worng

Many ATM machines in Las Vegas casinos charge a $6 fee each time a person withdraws money. If Adam used the ATM 3 times last Saturday at the Bellagio in Las Vegas, how much money was taken out of his checking account in ATM fees?

Answers

Answer:

$18

Step-by-step explanation:

8% of the High School students have their license. If there are 1000 high school students in your neighborhood, how many have their license internet Enter your answer in the sface below. ??? teachers​

Answers

Answer:

80.

............................

Help me pretty please.

Answers

Answer:

They are the same at 2 games of lazer tag

Step-by-step explanation:

Option 1 equation: C = 15 + 3t

Option 2 equation: C = 18 + 1.50t

Built a table or graph the two equations to find the cost

t     opt 1     opt2

0      15          18

1       18          19.5

2      21          21

3      24         22.5

What number is between 7.5 and 8

Answers

Answer:

7.75

Step-by-step explanation:

7.5+8=15.5

15.5/2=7.75

Please help me with the question

Answers

Answer:

4p,q+r

4p(q+r)

4pq+4pr

WILL GIVE BRAINLIEST!
Solve. Use the discount equation
S = R − rR,
where S is the sale price, R is the regular price, and r is the discount rate.

An exercise bike is on sale for $330, having been marked down 25% off the regular price. Find the regular price.

Answers

Answer:

$440

Step-by-step explanation:

Now do you guys understand the question?? I need help.

Answers

Answer:

6th period.

Step-by-step explanation:

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Submit Exam
Which of the following arithmetic operations would be best used to solve the system of
equations by elimination?
7x - 2y = 8
>
5x + 2y = 4
addition
subtraction
multiplication
division
20 Of 22

Answers

you must use addition method

Which number would round to 1,300?
A. 1,249
B. 1,370
C. 1,284
D. 1,351

Answers

The answer would be C. The 8 would make the 2 turn into a 3.

There are 2 sandwiches, 6 drinks, and 1 dessert to choose from. How many lunch specials are possible?

Answers

i think that would be 9

Answer:

24?

Step-by-step explanation:

Help pls
Help pls
Help pls

Answers

Answer i cant read it..

Step-by-step explanation:

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