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

how do i reflect over the y-axis if one point is over the y-axis?​

Answers

Answer:

Coordinates of point B':

B' = (-1, -4)

Explanation

To reflect a point or a figure across the x-axis we use the rule:

In other words, we multiply the y-coordinate of our points by -1, while leaving the original x-coordinate as it is.

Let's apply the rule to every point of our triangle :

A = (2, 1)

A' = (2, 1*-1) = (2, -1)

B = (-1, 4)

B' = (-1, 4*-1) = (-1, -4)

C = (3, 7)

C' = (3, 7*-1) = (3, -7)

All the credit goes to cerverusdante

Minha says triangle A with angles measuring 34 ° and 57 ° is similar to triangle B with angles measuring 57 ° and 89 ° . What Minha said is correct, but why is she correct?

A. Minha is correct because each triangle has an angle measuring 57 °

B. Minha is correct because 180 - (34 + 57) = 89
which means two angles in triangle A are congruent to two angles in triangle B

Answers

Answer:

b

Step-by-step explanation:

Answer: D./Yes, because 180

- (34 + 57) = 89 which means two angles in triangle A are congruent to two angles in triangle B

Step-by-step explanation:

im traing to make sure
Simplify the expression below.

45 × 43

A.
45
B.
48
C.
415
D.
1615

Answers

Answer:

1935 that's the answer when u simplify it

what expression is equivalent to (3c^2d^3)^2

Answers

Answer:

[tex] 9 {{c}^{4} } {{d}^{6} }[/tex]

Step-by-step explanation:

[tex](3c^2d^3)^2 \\ \\ = {(3)}^{2} {( {c}^{2} )}^{2} {( {d}^{3} )}^{2} \\ \\ = 9 {{c}^{4} } {{d}^{6} }[/tex]

what is 30% of 25.45?

Answers

Answer:

7.635

Step-by-step explanation:

i hope it helps:)

Answer:

7.635

Step-by-step explanation:

25.45 × 0.3 = 7.635

4) Find mZJIH.
A) 160°
C) 150°
B) 123°
D) 103

Answers

Answer:

150 (i think)

Step-by-step explanation:

A circle has a radius of 4 x^3 y^5 cm. The area of a circle can be found using A equals pi r^2


What is the area of this circle in square centimeters?

Answers

Answer:

Step-by-step explanation:

There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.

This diagram shows the circumference, diameter, center, and radius on a circle.

let h (x) represent the height of a bridge at x feet from the start of the bridge. what does h (32) represent?​

Answers

Answer:

It is the third one.

Step-by-step explanation:

Since the question is asking us that h(x) represents the height of the bridge the answer can be determined.

MARKING BRAINLIST!
Add (11x + 2) + (9x − 4).
F. 20x − 6 G. 20x − 2 H. 2x − 6 I. 2x − 2

Answers

58 es la respuesta perdón si espkis inglés

The Garcia family started the day with 222 gallons of milk. They drank 111 quart of milk for breakfast and 3 pints for lunch. How many pints of milk did the Garcia family have left after lunch?

Answers

Answer:

11 pints of milk the Garcia family have left after lunch.

Step-by-step explanation:

The Garcia family started the day with 2 gallons of milk.

They drank 1 quart of milk for breakfast and 3 pints for lunch.

Since, 1 gallon = 8 pint

2 gallon = 16 pint

and 1 quart = 2 pint

Left amount = 16 pint - ( 2pint + 3pint)

= 16-5

= 11 pints

Hence, 11 pints of milk the Garcia family have left after lunch.

this is where you can use your pickup lines without getting in trouble

Answers

Answer:

Are u a door, because u left me on open..

Step-by-step explanation:

A) Simplify (z^3)^4

B) simplify 18x^8y^5 divided by 2x^5y

Answers

Answer:

A)z12 B)9x^3 y^4

Step-by-step explanation:

Find the value of X and Y: 3x+9y=30 2(3x+9y)+x=64​


pls help.

Answers

Answer:

x = 4 , y = 2

Step-by-step explanation:

3x+9y = 30 --------- (1)

2(3x+9y)+x = 64 ---------(2)

substitute (1) into (2)

2(30)+x = 64

60+x = 64

x = 64-60

x = 4

substitute x=4 into (1)

3x+9y = 30

3(4)+9y = 30

12+9y = 30

9y = 30-12

9y = 18

y = 18/9

y = 2

thus, x = 4 and y = 2

Write the phrase as an expression.
18 less than a number r
expression:

Answers

Answer:

r - 18

Step-by-step explanation:

Less than means you put the 18 behind the r

Less than means subtraction

The expression for the phrase 18 less than the number r is r - 18.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18 less than a number r.

Number = r

This means,

r - 18

Thus,

The expression is r - 18.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

What is the slope of the line passing through the points (-1, 3) and (4, -7)?

A: -2

B: -4/3

C: 2

D: 3/4​

Answers

Answer:

-7-3/4+1= -2

Hence its A

Answer is a :)





Mmd fydufyc

Melissa makes and sells necklaces and bracelets. One day she made a total of 28 pieces of jewelry. On this day the number of bracelets crafted was 4 more than twice the number of necklaces.How many of each type of jewlery did she make that day

Answers

Answer:

Number of necklaces = 8

Number of bracelets = 20

Step-by-step explanation:

Given that:

Mellisa is making and selling the necklaces and bracelets.

Number of pieces of jewelry made on one day = 28

Number of bracelets was 4 more than the twice the number of necklaces.

To find:

Number of each type of jewelry made = ?

Solution:

Let number of bracelets = [tex]b[/tex]

Let number of necklaces = [tex]n[/tex]

As per question statement:

[tex]b+n=28[/tex] ...... (1)

[tex]b = 2n+4[/tex] ...... (2)

Putting the value of [tex]b[/tex] in equation (1):

[tex]2n+4+n=28\\\Rightarrow 3n = 28-4\\\Rightarrow 3n = 24\\\Rightarrow n =\bold{8}[/tex]

By equation (1):

[tex]b + 8 =28\\\Rightarrow b = \bold{20}[/tex]

So, the answer is:

Number of necklaces = 8

Number of bracelets = 20

I need only 16 and 17 please help

Answers

9514 1404 393

Answer:

  16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))

  17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))

Step-by-step explanation:

We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)

16.

a) The tail is invariant, so the rotation is (-90°, (4, 3)).

b) The tip is invariant, so the rotation is (90°, (0, 3)).

c) The origin is invariant, so the rotation is (-90°, (0, 0))

__

17.

a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).

b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).

c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).

_____

Additional comment

If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.

What are the coefficients of the like terms in this expression?
18x 9xy + 12x

Answers

it would me 12 and 18


1. Nico has the following marbles.
.
5 red
4 yellow
3 black
2 white
Nico will randomly choose one marble. What is
the probability that he will choose a white
marble?
B.
c.

Answers

Answer:

2/14

Step-by-step explanation:

See there is a total of 14 marbles overall. the question is asking what is the chance that you will pick a white marble out of the 14 marbles in total. Therefore you only have a 2/14 or 1/7 of a chance that you will pick that white marble.

PLEASE HELP,, MARKING BRAINLIEST!!!

Given coordinates T(10,18) and the midpoint of segment ST at (5,-8), what are the coordinates of point S?

Answers

Answer:

S = (-4, -34)

Step-by-step explanation:

T=(10, 18) is one end of the segment

the midpoint is located at (5, -8)

therefore, using the formula for midpoint, we can find the other end of the segment (point S)

Midpoint x-value = xa + (xb - xa)/2

in our case;

5 = 10 + (xb-10)/2

3 - 10 = (xb-10)/2

-7 = (xb-10)/2

-14 = xb-10

xb = -14 + 10 = - 4

Now for the y value of the midpoint:

Midpoint y-value = ya + (yb - ya)/2

in our case:

-8 = 18 + (yb - 18)/2

- 26 = (yb - 18)/2

- 52 = yb - 18

yb = -52 + 18 = -34

Then. point S is located at: S = (-4, -34)

Answer: (0, -34)

Step-by-step explanation:

[tex]M(5,-8)=(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2})\\(5,-8)(\frac{10 + x_{2} }{2} ,\frac{18 + y_{2} }{2})[/tex]

[tex]5=(\frac{10 +x_{2} }{2})\\ 10=10+x_{2} \\-10-10\\0 = x_{2}\\x_{2} =0[/tex]    [tex]-8=(\frac{18 +y_{2} }{2})\\ -16=18+y_{2} \\-18-18\\-34 = y_{2}\\y_{2} =-34[/tex]

Coordinates of point S = (0, -34)

7 qt. of a 27% saline solution was mixed
with 3 qt. of a 17% saline solution. What
is the concentration of the mixture?

Answers

Answer:

24% saline

Step-by-step explanation:

Find how much saline is in both solutions:

7(0.27)

= 1.89

3(0.17)

= 0.51

Add this together:

1.89 + 0.51

= 2.4

Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:

2.4/10

= 0.24

So, the concentration of the mixture is 24% saline

1/2(6a+8)
Please help me

Answers

Step-by-step explanation:

Given

1/2 ( 6a + 8)

Taking common

= 1/2 * 2( 3a + 4)

= 3a + 4

Hope it will help you :)❤

Answer:

3a+4

Step-by-step explanation:

           

Simplify  1/2

Then you should do 1/2*(6a+8)

Then you pull out the like terms

  6a + 8  =   2* (3a + 4)

Answer:

 3a + 4

Write the equation in standard form
ax + by = C
y=3x+7

HELP NOW!!!!

Answers

3x + y = 7 is the correct answer !

please help me before i fail!! Find the solution(s) of the following equation.
c^2 = 144/169
Choose all answers that apply:
A) c = 12/13
B) c = -12/13
C) c = 14/15
D) c = -14/15
E) None of the above

Answers

Answer: A or B but really A

Step-by-step explanation:

c² = 144/169

√c² = √144/169

c = 12/13

  or

-12/13² = 144/169

Hope that helped! I recommend choosing A

The solutions to the equation c² = 144/169 are c = 12/13 and c = -12/13, as they satisfy the equation when substituted into it. Thus, options A and B are the correct answers.

The equation is given as follows:

c² = 144/169

To find the solutions of the equation c² = 144/169, we can take the square root of both sides of the equation.

√(c² = ±√(144/169)

Since the square root of a number can be positive or negative, we have two possibilities for the solutions:

c = ±√(144/169)

Simplifying the square root of 144/169 gives:

c = ±(12/13)

So, the solutions to the equation are:

A) c = 12/13

B) c = -12/13

Therefore, options A and B are the correct answers.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ4

In a bag of Starbursts, 30% of the candy is pink. There are 90 pink Starbursts in the bag. How many TOTAL Starbursts are in the bag?

Answers

Answer:

About 304.

Step-by-step explanat:

.=10                                        9/30=0.3.  .  .  .  .  .  .  .  .= 30%                    + 0.3.  .  .  .  .  .  .  .  .=60%                        0.3.  .  .  .  .  .  .  .  .=90%                      = 0.9.  .  . 1/3 of .     = 100%                     +0.1                                                              1 1/3 x 3/10= 0.1

if <3 and <4 are vertical angles and m<3=9x+5 and m<4=5x+33 find <4

Answers

Answer:

68 degrees

Step-by-step explanation

If <3 and <4 are vertical angles, then <3 = <4

This means that

9x + 5 = 5x + 33

9x - 5x  = 33 - 5

4x = 28

x = 28/4

x = 7

Since <4 = 5x+ 33

<4 = 5(7) + 33

<4 = 35 + 33

<4 = 68 degrees

Hence the measure of <4 is 68 degrees

How do you estimate the mean? please help

Answers

Answer:

move the anomalous results

numbers that don go or are not similar to the other numbers

add the numbers and divide by how many numbers you added

Will give brainless if you answer now .

Put all angles in order from largest to smallest .

Answers

If I’m right 4 4 2 7 1 7 1 8 7

Which symbol replaces the box to make the statement true? 18÷6+3□6+12÷3 = >

Answers

Answer:

True answer is <

Step-by-step explanation:

18÷6+3

=3+3

=9

and

6+12÷3

=6+4

=10

Ans:<

Answer:

<

Step-by-step explanation:

Choose the fraction that is equal to:

Answers

B. Just divide the numerator by denominator

Answer:

245/999

Step-by-step explanation:

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