Lillian takes 4 pages of notes during each hour of Class

What is 283 divided it by 5

Eva8 [605]

56.6

Answer: 56.6

*Hope that helps XD *

4 0

3 years ago

How do i find the sides?

Anton [14]

These triangles are either 45 45 90 triangles or 30 60 90 triangles

For the 45 45 90 triangles the smaller sides are
s and the large one is s times the square root of two

For 30 60 90 the smallest side is s the hypotenuse is 2s and the last one is s root 3

For example 1. X is 7 the hypotenuse is 14

The sides on 2 are 6 Times Square root of 2

3. The sides are 3 each

7 0

4 years ago

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

AnnZ [28]

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; $\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}$

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

$\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}$

Therefore;

$\displaystyle a = \frac{10 -9}{2} = 0.5$

b = The cycle speed

The period, T, is given as follows;

$\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}$

The period of a block, T = 12 hours

Therefore;

$\displaystyle b = \frac{2 \cdot \pi}{T}$

$\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}$

$\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5$

At t = 0, H = The highest point = 10 ft.

Which gives;

$\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10$

$\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1$

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

$\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}$

The above equation is the same as; <u>H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5</u>

Learn more about the cosine function here:

brainly.com/question/4458343

brainly.com/question/24368105

4 0

3 years ago

Read 2 more answers

Twice a number decreased by 2

kodGreya [7K]

Answer:

2n - 2

Step-by-step explanation:

n can represent the number, and subtract by 2 since it says decreased by

5 0

3 years ago

Read 2 more answers

I need help with 10-12

makkiz [27]

Answer:

Step-by-step explanation:

10) Triangle ABC is similar to triangle EDC. This means that

AB/ED = BC/DC = AC/EC

Therefore,

(3x - 5)/32 = (5x - 5)/56

Cross multiplying, it becomes

56(3x - 5) = 32(5x - 5)

168x - 280 = 160x - 160

168x - 160x = 280 - 160

8x = 120

x = 120/8 = 15

11) Triangle JKL is similar to triangle triangle MKN. This means that

JK/MK = KL/KN = JL/MN. Therefore,

32/12 = (3x - 2)/(x + 1)

Cross multiplying, it becomes

32(x + 1) = 12(3x - 2)

32x + 32 = 36x - 24

36x - 32x = 32 + 24

4x = 56

x = 56/4 = 14

12) Triangle BCD is similar to triangle GEF. This means that

BC/GE = CD/EF = BD/GF. Therefore,

(x + 4)/51 = (2x - 7)/57

Cross multiplying, it becomes

57(x + 4) = 51(2x - 7)

57x + 228 = 102x - 357

102x - 57x = 228 + 357

45x = 585

x = 585/45 = 13

7 0

4 years ago