Work out the surface area of this cylinder.<br> Radius= 12 cm<br> Height= 35 cm

sveta [45]

Crosses x axis at (5,0) and slope -⅔. plug in to point slope formula to get
y=-⅔x-10/3

4 0

3 years ago

John puts the base of a 13 foot ladder 4 feet from the wall of his house. How far up the wall does the ladder reach? Round your

antiseptic1488 [7]

Answer:

12.04 feet

Step-by-step explanation:

Applying Pythagoras theorem,

$a^{2}= b^{2} + c^{2}$

$13^{2} =4^{2} + c^{2}$

$c^{2} = 145$

c= $\sqrt{145}$

c=12.04

7 0

3 years ago

what 1+2 eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Gnesinka [82]

Answer:

3

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

6 0

4 years ago

The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni

Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

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4 0

2 years ago

Sets L, M, and N are shown. Which of the sets represents LU (M n N) (the union of L with the intersection of sets

irinina [24]

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100} ⇒ 2nd answer

Step-by-step explanation:

In the sets:

Union (∪) of two sets means all the elements in the two sets without repeating the same elements
Intersection (∩) of two sets means the common elements in the two sets

∵ Set L = {0 , 20 , 40 , 80 , 100}

∵ Set M = {5 , 10 , 15 , 20 , 25}

∵ Set N = {10 , 20 , 30 , 40 , 50}

We need to find L ∪ (M ∩ N)

At first find (M ∩ N)

∵ M ∩ N means find the common elements of M and N

∵ 10 and 20 are common elements in M and N

∴ M ∩ N = {10 , 20}

Now find the union of L and {10 , 20}

∵ L ∪ {10 , 20} means all elements in L and {10 , 20} without

repeating the same elements

∴ L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}

∴ L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}

Learn more:

You can learn more about the set in brainly.com/question/10710410

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4 0

4 years ago

Work out the surface area of this cylinder. Radius= 12 cm Height= 35 cm