All categories

2 years ago

Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.

Mathematics

1 answer:

exis [7]2 years ago

4 0

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

You might be interested in

A company sells tubs of yogurt for 75¢ each. twenty percent of this is profit for the food company. how much profit does the com

inn [45]

.15

75/5=15

20 percent of 75 is 15

20 percent = 15

40 percent = 30

60 percent = 45

80 percent = 60

100 percent = 75

4 0

3 years ago

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN= x and MP= 2x -8

loris [4]

Answer:

<h2>x = 8 (Verified) ✅</h2>

Step-by-step explanation:

If we visualize the figure, we can see that sides LN and MP are going to be parallel and of the same length.

So x = 2x - 8

Subtract x

0 = x - 8

x = 8

Check the answer

8 = 2(8) - 8

8 = 16 - 8

8 = 8 ✅

3 0

3 years ago

Find the slope between 2 points. (16, 12) (40,18)

WITCHER [35]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

In this question, we have to find the slope with the given coordinates.

To find our slope, we would use the slope formula: $m = \frac{y2-y1}{x2-x1}$

Plug in your coordinates and solve:

$m = \frac{18-12}{40-16}\\\\m=\frac{6}{24}$

Simplify the fraction:

$m=\frac{1}{4}$

The slope would be $\frac{1}{4}$

8 0

2 years ago

B) Tyler swam 32 laps in the pool. Kevin swam 3 times as many laps as Tyler. Lets the number of

evablogger [386]

If Tyler did 32 laps and Kevin did 3 times that amount; its quite simple, you would find three times the amount of Tylers laps which is 96.

4 0

2 years ago

Read 2 more answers

The curved surface area of a right circular cylinder of height 14 cm is 88 cm².

Slav-nsk [51]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

➣ Height of cylinder = 14 cm
➣ Curved surface area = 88 cm²

$\begin{gathered}\end{gathered}$

TO FIND :

in the provided question we need to find :

➠ Radius of cylinder
➠ Diameter of cylinder

$\begin{gathered}\end{gathered}$

USING FORMULAS :

$\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}$

$\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}$

➛ Csa = Curved surface area
➛ π = 22/7
➛ r = radius
➛ h = height
➛ d = diameter

$\begin{gathered}\end{gathered}$

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}$

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}$

Hence, the diameter of the base of the cylinder is 2 cm.

$\rule{300}{2.5}$

3 0

1 year ago

Read 2 more answers