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Stolb23 [73]
2 years ago
15

Select the correct answer. Lacy is making a new sail for her boat. The sail needs to have the given dimensions. Approximately ho

w much fabric does she need for the sail? A. 70.1 square feet B. 81 square feet C. 99.2 square feet D. 140.3 square feet
Mathematics
1 answer:
Julli [10]2 years ago
3 0

70.1 ft² of fabric is needed by Lacy to make the sail boat.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let b represent the base of the triangle and h the height, hence:

sin(60) = h / 18

h = 15.6 feet

sin(30) = b / 18

b = 9 feet

The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²

70.1 ft² of fabric is needed by Lacy to make the sail boat.

Find out more on Trigonometric ratio at: brainly.com/question/6459892

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The volumes of two spheres are in a ratio of 1:8 what is the eatio rafi
Agata [3.3K]
Remark
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.

You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation. 

Step One 
Set up the Ratio for the volumes.

\frac{V_1}{V_2} =  \frac{1}{8}

Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3

\dfrac{1}{8} =  \frac{ \frac{4}{3} \pi( r_1)^3 }{ \frac{4}{3} \pi( r_2)^3 }

Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.

You are left with 1/8 = (r1)^3/ (r2)^3

Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2

Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2

Step  Five
Answer
\frac{r_1}{r_2} =  \frac{1}{2}   Answer <<<<<<<
8 0
3 years ago
The function f(x) = –4x2 represents the path of a whale as it surfaces for air and dives again. Select all the observations that
olga nikolaevna [1]

Answer:

Option (A) and (E)

Step-by-step explanation:

Characteristics of the quadratic function representing the path of a whale as it surfaces for air is,

y = -4x²

1). Since domain of the given function will be all real number x until ocean hits the shore on both the sides of the path.

2). Range of the function will be the value of y from the bottom of the ocean to the surface.

3). Whale will touch the surface of the ocean at one point only.

4). Function 'f' will increase initially upto the surface of the ocean and then it will decrease.

5). Point where the hale touches the surface will be maximum.

Therefore, Options (A) and (E) will be the correct options.

7 0
3 years ago
If (-2) = -14 for f(x) = 3x -b; find b? -
Verizon [17]

Answer:

<em>The value of b is</em><em> 8</em><em>.</em>

Step-by-step explanation:

The given function is,

f(x) = 3x -b

The given data is,

f(-2)=-14

i.e when the value of x is -2, then the value of the function is -14.

Putting all the values,

\Rightarrow -14 = 3(-2) -b

\Rightarrow -14 = -6 -b

\Rightarrow b=-6+14

\Rightarrow b=8

Therefore, the value of b is 8.


5 0
3 years ago
Read 2 more answers
1/2 ÷ 3 = 4 2/3 ÷ x. Solve the proportion​
rewona [7]

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

8 0
2 years ago
Please help meeeeeeeee
Montano1993 [528]

Answer:

\frac{2}{3} in \: mins =  \frac{2}{3}  \times 60 \\  = 40mins \\ 40 =  \frac{1}{6}  \\ therefore \: 60mins = x \\  \frac{40}{60}  =  \frac{ \frac{1}{6} }{x}  \\ 40x = 60 \times \frac{1}{6}  \\ 40x = 10 \\ x =  \frac{1}{4}

therefore per hour Harris can sew 1/4 pair of jeans

4 0
3 years ago
Read 2 more answers
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