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Rudiy27
2 years ago
14

Given circle E with diameter CD and radius EA. AB is tangent to Eat A.

Mathematics
1 answer:
faust18 [17]2 years ago
8 0

The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet

<h3>Application of pythagoras theorem</h3>

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC from the diagram is 21.9feet

Learn more on pythagoras theorem here: brainly.com/question/343682

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Caio comprou uma lembrancinha para todos os seus amigos e gastou R$12,50. Qual fração pode representar esse valor? 125/2 25/5 12
sineoko [7]

Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

3 0
2 years ago
Which of the following is a geometric sequence
Galina-37 [17]

Answer:

b i just know hahahhahahh

4 0
3 years ago
The students who run the school store ordered 1440 pencils. They are putting them in packages of 6 pencils. About how many packa
chubhunter [2.5K]

Well I don't get what the other parts of the question is asking, but they can make 240 packs of pencils.

7 0
3 years ago
A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
If an object is propelled upward from a height of s feet at an initial velocity of v feet per​ second, then its height h after t
Sergio039 [100]

From the given information we can write the equation:

-16t^2 +96t + 4 = 112

-16t^2 + 96t + 4 - 112 = 0

-16t^2 + 96t - 108 = 0

simplify, change the signs, divide by -4

4t^2 - 24t + 27 = 0


You can use the qudratic formula but this will factor to

(2t-3)(2t-9) = 0

Two solutions

t = 3/2

t = 1.5 seconds at 112 ft on the way up

and

t = 9/2

t = 4.5 seconds at 112 ft on the way back down

Graphically, (green line is 112 ft)


5 0
3 years ago
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