9sin(Θ)-7=0. Solve the trigonometric equation

kendra knits hats. She starts with 3 3/4 yd of yarn. After knitting for 5 1/4 h their is 1 1/8 yd of yarn left. At what rate doe

nadezda [96]

Answer:

The rate is 1 ÷ 2 yards per hour

Step-by-step explanation:

The computation of the rate does the amount of yarn changes is given below:

= 3 3 ÷ 4 - 1 1 ÷8

= 15 ÷ 4 - 9 ÷ 8

= 21 ÷ 8 yards

Now divide the above fraction by the number of hours

= 21 ÷ 8 yards ÷ 5 1 ÷ 4

= 21 ÷ 8 × 4 ÷ 21

= 1 ÷ 2 yards per hour

Hence, the rate is 1 ÷ 2 yards per hour

The same would be relevant

8 0

3 years ago

You spend 60 on clothes and buy 3 dvd movies. your friend spends nothing on clothes and buys 8 dvd movies. you both spend the sa

garik1379 [7]

Each dvd cost $7.50 how? Your friends buy 8 dvd's and in total is 60, you want to divide 60 from 8 and find that it's 7.50 and then multiply 8 to 7.50 and it should be 60. Hope this helps!!

5 0

3 years ago

Solve the equation for x. 27(x - 108) = 54

Sidana [21]

X = 110

110-108 = 2

27*2=54

4 0

3 years ago

Read 2 more answers

Which system of inequalities is represented by the graph?

timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ $\frac{0-2.5}{5-0}=\frac{-2.5}{5}$

∴ m = -0.5

- The form of the equation is y = m x + b, where b is the

y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ $m=\frac{-5-4}{3-0}=\frac{-9}{3}$

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y = -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0

3 years ago

What is the answer so I can answer it on my side of the phone

amm1812

Answer:

C. 134.04 $cm^{2}$

Step-by-step explanation:

The formula to calculate the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height

The base of the cone is a circle, so that the formula to calculate the are of the base is: Area of base = $\pi$ x $radius^{2}$

The radius of the base is 4cm

=> Area of base = $\pi$ x 4^2 = 3.14 x 16 = 16 $\pi$ $cm^{2}$

The height of the cone is given equal to 8 cm

So the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16 $\pi$ x 8 = 134.04 $cm^{2}$

So the answer is C

5 0

3 years ago