Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is shown below. a. What is the area of the family room in square feet? b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You will need to convert the area in Part a from square feet to square inches.) c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter have to buy to tile the family room?

Answer:

x = 21

Step-by-step explanation:

ALL triangles add up to 180 degrees

180 = 22 + 57 + (5x - 4)

180 = 79 + (5x - 4)

101 = 5x - 4

105 = 5x

21 = x

Answer/Step-by-step explanation:

1. B = 180 - (90 + 58) (sum of triangles)

B = 32°

Let's find a and b using trigonometric ratios:

Reference angle = 58°

Opposite = a = ?

Hypotenuse = c = 27

Adjacent = b = ?

✔️To find a, apply SOH:

Sin 58 = Opp/Hyp

Sin 58 = a/27

a = 27*Sin 58

a = 22.8972986 ≈ 22.9 (nearest tenth)

✔️To find b, apply CAH:

Cos 58 = Adj/Hyp

Cos 58 = b/27

b = 27*Cos58

b = 14.3 (nearest tenth)

2. B = 180 - (90 + 63) (sum of triangles)

B = 27°

Let's find a and b using trigonometric ratios:

Reference angle = 63°

Opposite = a = 11

Hypotenuse = c = ?

Adjacent = b = ?

✔️To find b, apply TOA:

Tan 63 = Opp/Adj

Tan 63 = 11/b

b = 11/Tan 63

b = 5.6 (nearest tenth)

✔️To find c, apply SOH:

Sin 63 = Opp/Hyp

Sin 63 = 11/c

c = 11/Sin 63

c = 12.3 (nearest tenth)

Answer:

Ok

Step-by-step explanation:

Answer:

1:70

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

245 / 3.5 = 70

1:70

Answer:

You would save 92$

Step-by-step explanation:

Discount = Original Price x Discount 40/100

Discount = 230 × 40/100

Discount = 230 x 0.4

You save = $92.00

Final Price = Original Price - Discount

Final Price = 230 - 92

Final Price = $138.00

Hope this helps

Answer:

Step-by-step explanation:

The volume of the metal cuboid = length x width x height = 16 x 8 x 3 = 16 x 24 = 384 cm^3

If this same cuboid is going to be reshaped, then

The  volume of the cuboid = The volume of the cube

Therefore,

l^3 = 384

l = [tex]\sqrt[3]{384}[/tex]

l = 7.268..

l = 7.27cm ( 2dp)

Hope this helps.

Answer:13

Step-by-step explanation:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

it's four

8×4=32

Answer:

f(- 5) = 25

Step-by-step explanation:

To evaluate f(- 5) , substitute x = - 5 into f(x) , that is

f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25

Answer:

no because the radius doesn't make 90 degree

Answer:

Each of these numbers is divided by four to get the next number in the sequence, so the rule of this would be divide by 4.

Step-by-step explanation:

-4/4 is -1, -1/4 is -1/4 (negative one-fourth), and so on.

Answer:

Volume of box V = 180 cm^3

Base area of box A = 36 cm^2

Height = h

Volume = base area × height

height = volume/base area

h = V/A

Substituting the values;

h = (180cm^3)/(36cm^2)

Height h = 5 cm

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

Answer:

D

Step-by-step explanation:

I plugged each equation into a graphing calculator and compared them to see which one matched the one in the picture.

The value of the trigonometric equation after transformation is given by the value y = 3 [ sin ( x + 3 ) ] - 2

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of the trigonometric function f ( x ) is

f ( x ) = 3sin ( x )

when the function is translated 3 units to the left and 2 units down , we get

y = 3 [ sin ( x + 3 ) ] - 2

Therefore , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2 and the graph is plotted

Hence , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2

To learn more about transformation of function click :

https://brainly.com/question/26896273

#SPJ7

Answer:

D. 10; your car travels for 10 hours.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A = 907.46 [tex]m^{2}[/tex]

Step-by-step explanation:

C = πd

34π = πd

d = 34

r = 17

A = [tex]\pi r^{2}[/tex] = 3.14([tex]17^{2}[/tex]) = 3.14(289) = 907.46 [tex]m^{2}[/tex]

Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7  hope it helps

Step-by-step explanation:

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

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

Answer:

2 inches would be left

Step-by-step explanation:

Answer:

The common ratio of the following sequence : 80, 20, 5,... is 1/4. Common ratio = 5/20 = 20/80 = 1/4

Step-by-step explanation:

Answer:

GRAPH B

Step-by-step explanation:

I GOT IT CORRECT ON KAHN!!!!

Answer:

It should equal 180 i think correct me if im wrong

Answer: A is 8. B is the square root of 128.

Step-by-step explanation: Nah.

Answer:

[tex]1\frac{87}{100}[/tex]

Step-by-step explanation:

A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).

In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.

[tex]\frac{187}{100}[/tex]

Simplify, write as a mixed number,

[tex]1\frac{87}{100}[/tex]

Answer:

P = 0.075     P = 7.5%

Step-by-step explanation:

We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.

We know for a fact that the probability that the quarterback fails the first attempt is:

p(1) = 0.5

and we know that the probability that the quarterback fails the second attempt after failing the first is:

p(2/1) = 0.15  

Then the probability of failure of both attempts is:

P(2/1) = p(1 and 2) / p(1)

p(1 and 2) = P(1) * P(1/2)

p(1 and 2) = 0.5 * 0.15

and that is

p(1 and 2) = 0.075

you probably didn't want the nerdy stuff but oh well

Answer:

Answer:

P = 0.075     P = 7.5%

Step-by-step explanation:

We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.

We know for a fact that the probability that the quarterback fails the first attempt is:

p(1) = 0.5

and we know that the probability that the quarterback fails the second attempt after failing the first is:

p(2/1) = 0.15  

Then the probability of failure of both attempts is:

P(2/1) = p(1 and 2) / p(1)

p(1 and 2) = P(1) * P(1/2)

p(1 and 2) = 0.5 * 0.15

and that is

p(1 and 2) = 0.075

Answer:

1. 18

2. 5

3. 8

4. 6

5.-12

Step-by-step explanation:

im not really sure how to explain it to you but the first one that were positive numbers you can just subtract them and get the answer which i gave the forst five to you and when you are this is just an example of the adding the negative numbers 4. -15 + n = -9 you can subtract it and you'll get -15 - (-9) = -6

but if you put negative six it's gonna be the wrong answer sooo you just switch it to a positive number 6 because if you put -15 + (-6) = -21 and when its like this -15 + n = -9 the answer is smaller that the bigger number sooo the only right thing to do it put the positive 6

i hope i got you understanding it a little more if i didnt im soory i tried but the 5 answers i gave you correct