Herman is decorating his bedroom ceiling with lights. If the rectangular ceiling is 15 meters by 8 meters, how long will the string of lights need to be to reach from one corner of the ceiling to the opposite corner?

Answers

Answer 1

Answer:

x = 17 m

Step-by-step explanation:

The dimensions of the rectangular ceiling are 15 m by 8 m

We need to find the length of the string of lights need to be to reach from one corner of the ceiling to the opposite corner. Let it is x.

We need to find the diagonal of the rectangular ceiling. It can be calculated using Pythagoras theorem.

[tex]x^2=15^2+8^2\\\\x^2=225+64\\\\x^2=289\\\\x=\sqrt{289}\\\\x=17\ m[/tex]

So, the length of the string of lights is 17 m.


Related Questions

Which of the following statements about AB and AC is true?​

Answers

Answer:AB is longer than AC

Step-by-step explanation:AP3X

Answer:

c

Step-by-step explanation:

I just did it on A.P.E.X.

CHARITY This year, James raised $95 for an animal shelter. This is 5
times the amount he saved. The equation 5x = 95 can be used to find last
year's fundraising amount. Find last year's fundraising amount.

Please help I have know clue what to do!!

Answers

Answer: Hi, sorry if I’m late to answering but the answer is 19

Step-by-step explanation:

You divide each number in the equation by 5. So, 5x divided by 5 = 1. We cannot use 5 divided by 5 because it will equal 1 so we ignore that and go to 95 divided by 5 = 19. Therefore, 19 is your answer!!! (Hope this helped)

Evaluate the expression 6^2 + x - x^26
2
+x−x
2
6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.

Answers

Answer:

The answer is 30 :)

Step-by-step explanation:

I had this question on khan academy

have a good day and stay safe!

The value of expression at x = 3 is,

⇒ 30

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6² + x - x²

Now, We can simplify as;

⇒ 6² + x - x²

⇒ 36 + x - x²

Put x = 3;

⇒ 36 + 3 - 3²

⇒ 36 + 3 - 9

⇒ 36 - 6

⇒ 30

Thus, The value of expression at x = 3 is,

⇒ 30

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79. Which expression models her purchase? 3 b minus 35.79 35.79 + 3 b 35.79 b minus 3 35.79 minus 3 b

Answers

Answer:

35.79 minus 3 b

Step-by-step explanation:

Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79.

Let the number of barrettes be represented by b

She purchases 3 barrettes

Hence = 3 × b = 3b

Hence, the expression that models her purchase is given as:

$35.79 - 3b

Answer:

35.79-3b

Step-by-step explanation:

The value of the gift card 35.75 minus the cost of 3 barrettes (3b).

so 3b stands for 3 barrettes.

.... .find x ..... ​

Answers

Answer: 120 degrees

Step-by-step explanation: a circle always has a total of 360 degrees

Your friend claims that she has a bag of 30 coins containing nickels, dimes,
and quarters. The total value of the 30 coins is $3. There are twice as many
nickels as there are dimes. Is your friend correct?

Answers

9514 1404 393

Answer:

  No

Step-by-step explanation:

If all 30 coins were nickels and dimes, there would be 10 dimes and 20 nickels, for a total value of $2.00. Trading a dime and 2 nickels for an equal number of quarters raises the value to $2.00 -0.10 -2(0.05) +3(0.25) = $2.55.

That is, each such trade adds $0.55 in value to the total amount. Since the original difference of $3.00 -$2.00 = $1.00 is not evenly divisible by $0.55, there cannot be twice as many nickels as dimes.

__

For 30 coins, possible numbers of {nickels, dimes, quarters} are ...

{21,2,7}, {18,6,6}, {15,10,5}, {12,14,4}, {9,18,3}, {6,22,2}, {3,26,1}, {30 dimes}

Note that we can have 1.5, 3, or 10.5 times as many nickels as dimes, but not 2 times as many.

Which expression is equivalent to this one?

Answers

Answer:

The answer is 1

Yuto solved the equation below.

Negative 2 (x + 5) = negative 2 (x minus 2) + 5

What is the solution to Yuto’s equation?

Answers

Answer:

x = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-2(x + 5) = -2(x - 2) + 5

Step 2: Solve for x

Distribute -2:                    -2x - 10 = -2x + 4 + 5Add:                                  -2x - 10 = -2x + 9Add 2x on both sides:     -10 ≠ 9

Here we see that -10 does not equal 9.

∴ x = no solutions.

Answer:

no solution

Step-by-step explanation:

:)

Evaluate −4(1/4)6x for x=1/3.
Enter your answer as a fraction in simplest form in the box.

Answers

the answer is -6x


hope this helped.

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city. Predict how many of them prefer Colgate.

100 Points to the first person who answers! and the Brainliest

Answers

Answer:

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.

Let the number of dentists prefer Colgate in the city be x

[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]

30 dentists prefer Colgate.

Which of the following is the slope intercept form of the equation
3x - 8y = 16

A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2

Answers

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

Mrs. Goerlich deposited $2,000 into a savings account to save for her son's college tuition. • The account earns simple interest. • She did not make any additional deposits or withdrawals. • At the end of 6 years, the account has a balance of $2,780. What is the annual interest rate on this account?

Answers

Answer: 6.5%

Step-by-step explanation:

In 6 years the interest earned is:

= 2,780 - 2,000

= $780

The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:

= 780/6

= $130

Simple interest rate = Interest payment/ Deposit

= 130/2,000

= 6.5%

Order the following fractions from least to greatest 2/8 2/3 2/9

Answers

Answer:

2/9, 2/8, 2/3

Step-by-step explanation:

2/9= 0.22 (to 2 decimal point)

2/8= 0.25

2/3 = 0.67

kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?

Answers

Kevin has to work 22 hours to afford the bike
pretty sure the answers 1408 hours
cuz 176 x 8 is 1408

I will mark brainliest for the best answer!!!! Please show FULL SOLUTIONS. THANK YOU.

Question: Determine The Value Of X.

Answers

9514 1404 393

Answer:

  x = 78

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so the sum of angles is ...

  x° +x° +24° = 180°

  2x +24 = 180 . . . . . collect terms

  x + 12 = 90 . . . . . . . divide by 2

  x = 90 -12 . . . . . . . . subtract 12

  x = 78

_____

Additional comment

The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.

Yeah I need some help, I'm kinda confused on this entire test.

Answers

Answer:

Answer would be D

Step-by-step explanation:

Brian bought beverages for his coworkers. On Monday he bought 3 sodas and 4 iced teas for $18. On Tuesday he bought 5 sodas and 2 iced teas for $16.

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

3x+4y=18 and 5x+2y=16

x=the cost of the sodas

y=the cost of the iced teas

then you do

3x+4y=18, and 10x+4y=32 (the equation is still equivalent to 5x+2y=16, you just doubled it)

next,

10x+4y=32

-3x-4y=-18 (once the y's match, make one negative and one positive)

which leaves you with:

7x=14

which means

x=2

Plug the x value back into the equation, for this I chose to plug it back into 3x+4y=18

3(2)+4y=18

6+4y=18

4y=12

y=3

so the final answer is x=2, and y=3

Please help me with this homework

Answers

The line is going downwards
Solution: negative slope

Step-by-step explanation:

Negative slope

Its going from left to right.

it says I need to find f(2)​

Answers

=2f it’s very simple good luck!

Morristown City Cafe recently introduced a new flavor of coffee. They served 24 grande cups and 51 jumbo cups of the new coffee today, which equaled a total of 1,506 ounces. The day before, 26 grande cups and 66 jumbo cups were served, which used a total of 1,868 ounces. How much coffee is required to make each size?

Answers

Hello like my comment for a free phone!hu

Convert 40.64 centimeters to inches.

1 Inch = 2.54 centimeters



PLS HELP!!!​

Answers

16 inches ! , because 49.64 dived by 2.54 = 16 and 2.54 = 1 inch and 2.54 times 16 = 40.64

Please helpppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

JP = 36

Step-by-step explanation:

Since JN is the entire line, then just divide 54 by 3 which equals to 18, then add 18 + 18 which equals to 36. You want to do this because an entire line segment is in 3 units (JN) , so which mean (JP) is 2/3 or 2 units of 3.

A right triangle has a line of symmetry select all conclusions that must be true

Answers

right triangle is 90 degrees

Answer:

Where are the choices?

a rigth triangle is a 90 degree angle.

In geometry and trigonometry, a right angle is an angle of exactly 90°, corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.-wikipedia

no one can report because I gave wikipedia credit

Step-by-step explanation:

your welcome:)

plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side

Answers

Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:


PLEASE HELP!! ILL MAEK BRAINLIEST IF RIGHT THANKS!!

Which inequality represents the sentence below?

The difference of –3.2 and the sum of a number and 19.1 is at most 14.2.
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
Negative 3.2 minus x + 19.1 less-than-or-equal-to 14.2
Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2
Negative 3.2 minus x + 19.1 greater-than-or-equal-to 14.2

Answers

Answer:

Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2

Step-by-step explanation:

Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2

.Write in standard form. 4h - 6(5+7h)

Answers

Answer:

-38h-30

4h+(−6)(5)+(−6)(7h)

=4h+−30+−42h

=(4h+−42h)+(−30)

=−38h+−30

What is the verbal expression 21-18

Answers

Answer: twenty one decreased by eighteen or the difference of twenty one and eighteen

some soiled goods are sold for 2 /5 of their original price. what will be the selling price of a pair of trouser originally Costing#850.00​

Answers

Answer:

$340.

Step-by-step explanation:

Given that some products, such as a pair of trousers in this case, are sold at 2/5 of their value, if the trousers cost $ 850, the following calculation must be performed to determine their sale value:

2/5 = 0.4

850 x 0.4 = X

340 = X

Therefore, selling them at 40% of their value, the trousers' sale value was $ 340.

find the zeros of the function by factoring.

3x^2+10x=8​

Answers

Answer:

x = -4, 2/3

General Formulas and Concepts:

Algebra I

Standard Form: ax² + bx + c = 0Factoring

Step-by-step explanation:

Step 1: Define

3x² + 10x = 8

Step 2: Find Zeros

Rewrite in SF:                    3x² + 10x - 8 = 0Factor:                               (x + 4)(3x - 2) = 0Solve for x:                        x = -4, 2/3

The sporting goods store has a pair of soccer cleats on sale for $52. Without the sale they are $75. What is the percent of decrease? (Round to the nearest percent.)

Answers

Answer:

nl i can't give sorry again

31%
(75-52)/75=.306667
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