Kendall is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is
12 meters and the diagonal from one corner to the opposite corner is 15 meters.
How much garland will Kendall need for the length of the ceiling?

Answer:

43.566 ft

Step-by-step explanation:

Straight sides: 2 long 1 short

2 x 10 + 8 = 28 ft

Curved side: Remember that the circumference of a circle is 2πr or πd.

Since this is a semicircle, divide the circumference you get by 2.

From the diagram: d = 8

total circumference = 8 x π = 8π

semicircle = 8π ÷ 2 = 4π ft

Total perimeter

= (28 + 4π) ft

= (28 + 12.566) ft (5sf)

= 43.566 ft (5sf)

The radius of the hemicircle is r = 8/2 cm = 4 cm.

So the perimeter of the hemicircle part is

[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]

The perimeter of the rectangular part = 10+10+8 = 28 cm.

So, the final answer is

[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]

Answer:

[tex]\sqrt{6}[/tex] units = g

Step-by-step explanation:

You can solve this either of the 2 ways:

#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]

=> Sin(60) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]

=> Cos(30) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

Hope this helps!

Answer:

The final answer is (2,-1)

(also idek what I did in the photo but I'm positive the answer is (2,-1)

Answer: 1306.5 m^3

Step-by-step explanation:

1. The formula for the volume of a cylinder is: V=[tex]\pi[/tex]r^2h

2. If you substitute the values into the equation, you get

V = pi * 5.7^2 * 12.8 = 1306.5

3. 1306.5 is already to the nearest tenth, so that is the answer.

Answer:

c:88

Step-by-step explanation:

The angle that measures 92 degrees and the angle with the question mark are supplementary angles which mean their sums make up 180 degrees because they are on a line. So 180 degrees - 92 degrees = 88 degrees.

Step-by-step explanation:

Use the above formula

-5 is the difference between the numbers..

hope you understood..

cause a dictionary contains all known words including dictionary..my turn!.look in the comments!

Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get

[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]

[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]

[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]

[tex]\cos C=-0.42774145[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}{-0.42774145}[/tex]

[tex]C=115.324312[/tex]

[tex]C=115.3^\circ[/tex]

Therefore, the correct option is d.

Answer:

The one that is not equivalent to the others is:

2 + 2 + 2 + 2 + 2

Step-by-step explanation:

this is because all of the other ones are equal to 32. This one equals to 10.

Answer:

The 3rd one which is C

Step-by-step explanation:

It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!

Answer:

12

Step-by-step explanation:

mrk me brainliest plzzzzzzzzzz

Answer:

b) 12

Step-by-step explanation:

The first image shows the top 2 numbers as 5 and 2 = 5 * 2

=> 10

The Second image shows the top 2 numbers as 3 and 3 = 3 * 3

=> 9

So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6

=>12

Therefore, the missing space in the third circle is b) 12

Hope it helps :)

Answer: [tex]5:15:24[/tex]

Step-by-step explanation:

Given

Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint

So, the ratio of white, red, and yellow paint is

[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]

The ratio of three paints is [tex]5:15:24[/tex].

Answer:

102.9

Step-by-step explanation:

Area of a triangle is A=(1/2)(h)(b) where h is the height and b is the base.

7.35 is the height and 28 is the base

A=(1/2)(7.35)(28)

A=102.9

Answer:

300 : 450

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5 parts

Divide 750 by 5 to find the value of one part of the ratio

750 ÷ 5 = 150 ← value of 1 part of the ratio , then

2 parts = 2 × 150 = 300

3 parts = 3 × 150 = 450

Then 750 in the ratio 2 : 3 = 300 : 450

The required answer is 750 in the ratio 2 : 3 = 300 : 450.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have to divide 750 into the ratio 2:3​

The ratio is given in the question

⇒ 2:3​

We can see that the sum of the parts of the given ratio as

⇒ 2 + 3 = 5 parts

Divide 750 by 5 to determine the value of one part of the ratio

So the value of 1st part of the ratio

⇒ 750 ÷ 5 = 150

Now, 2nd parts = 2 × 150 = 300

And, 3rd parts = 3 × 150 = 450

So, 750 in the ratio 2 : 3 = 300 : 450

Therefore, the required answer is 750 in the ratio 2 : 3 = 300 : 450.

To learn more about the Ratio click here:

brainly.com/question/1504221

#SPJ2

Step-by-step explanation:

see the photo for explanation

Answer:

We are finding hypotenuse

3^2 + 2.5^2

9 + 6.25 = 15.25

3.9^2 = 15.21 close enough.

3.9 would be your answer.

When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28[tex]\overline 3[/tex] = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

Answer:

ITS 32 m^3

Step-by-step explanation:

Option C

just trust me homie... :)

Answer:

C. 32 m cube

hope this helps

have a good day :)

step-by-step explanation:

Answer: im pretty sure it is 3x and 13x

Step-by-step explanation:

pls mark brainlest

Answer:

The surface area equals 45.

Answer:

264 bananas

Step-by-step explanation:

11/6 = x/144

cross multiplicaion

6x = 11x144

6x = 1584

x = 265

         It males sense since 11 is almost double than 6

         264 is almost double than 144

Answer:

64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44

Step-by-step explanation:

Answer:

1) 64

2) 8

3) 2187

4) 5[tex]x^{2}[/tex]

5) 4[tex]x^{2}[/tex]

6) 12[tex]n^{5}[/tex]

7) 9[tex]x^{2}[/tex]

8) [tex]p^{9}[/tex]

9) 27[tex]p^{12}[/tex]

10) [tex]\frac{4x}{3}[/tex]

11) 4b

12) [tex]\frac{1}{4a^{2} }[/tex]

Step-by-step explanation:

Answer:

refer to the attachment

Given:

The dimensions of the square photo are 12'' × 12''.

The frame is 2 inches wider than the photo in both length and width.

To find:

The perimeter of the frame.

Solution:

We have,

Length of the photo = 12 inches

Width of the photo = 12 inches

The frame is 2 inches wider than the photo in both length and width. So,

Length of the frame = 12+2 inches

                                 = 14 inches

Width of the frame  = 12 inches

                                = 14 inches

The perimeter of a square is:

[tex]P=4a[/tex]

Where, a is the side length.

Now, the perimeter of the square frame with side 14 inches is:

[tex]P=4(14)[/tex]

[tex]P=56[/tex]

Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

Comment:  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit larger than 4.  g(5) = |5 - 1| = 4.

Answer:

A i the answer

Step-by-step explanation:

Answer:

28 cm area

Step-by-step explanation:

Answer:(7, 8)

Step-by-step explanation:

Answer: [tex]x(x+4)[/tex]

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]

Answer:

8.

Step-by-step explanation:

40 ÷ 8 = 5. :)

5x?=40    ?=8.

___________________________________________Done