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Kamila [148]
3 years ago
15

Given O below, is XY a minor arc, a major arc, or a semicircle?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

b. minor arch

Step-by-step explanation:

i just took the quiz and got this question right

Neporo4naja [7]3 years ago
4 0

Answer:

B. Minor arc

Step-by-step explanation:

The central angle that is subtended by arc XY is less than 180° and it is not up to a semicircle.

A semicircle is half of a circle of which its central angle measure exactly 180°

The central angle of which an arc is subtended measures more than 180°.

Therefore, arc XY, which has a central angle that subtends it measuring 155° can be said to be a minor arc.

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PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag
Svetllana [295]

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

4 0
3 years ago
Your friend has owned a dog for nine years this is one year less than twice as long as he owned a cat how long has your friend o
Oduvanchick [21]

Answer:

He owned Cat for 5 years.

Step-by-step explanation:

Given: Owned dog for 9 years.

           Dog owned year is one year less than twice as long as he owned a cat.

Lets assume the years that cat has been owned be "x".

Now, finding the number years that Cat hes been owned.

As given, Dog owned year is one year less than twice as long as he owned a cat.

∴ using equation to find the Cat´s owned years.

⇒ 2x-1= 9

adding 1 on both side.

⇒ 2x= 10

dividing both side by 2

⇒x= \frac{10}{2}

∴x= 5\ years

Hence, Cat has been owned for 5 years.

6 0
3 years ago
Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).
Neporo4naja [7]
A. 1/10000 because it is a 1/100 chance for each. 
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer. 
6 0
3 years ago
What is the highest common factor of 60 and 75
Assoli18 [71]
<span>The factors of 60 are 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1.The factors of 75 are 75, 25, 15, 5, 3, 1.<span>The common factors of 60 and 75 are 15, 5, 3, 1, intersecting the two sets above.</span><span>In the intersection factors of 60 ∩ factors of 75 the greatest element is 15.</span><span>Therefore, the greatest common factor of 60 and 75 is 15.

</span></span>
8 0
3 years ago
find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou
Neko [114]

Answer:

v =  \frac{32\pi}{3}

or

v=33.52

Step-by-step explanation:

Given

f(x) = 4x - x^2

g(x) = x^2

[a,b] = [0,2]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx

Integrate

v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx

v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx

Substitute values for a, b, f(x) and g(x)

v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx

Evaluate the exponents

v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx

Simplify like terms

v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx

Factor out 8

v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx

Integrate

v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0

v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0

Substitute 2 and 0 for x, respectively

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])

v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]

v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]

Take LCM

v = 8\pi [ \frac{16*4- 16 * 3}{12}]

v = 8\pi [ \frac{64- 48}{12}]

v = 8\pi * \frac{16}{12}

Simplify

v = 8\pi * \frac{4}{3}

v =  \frac{32\pi}{3}

or

v=\frac{32}{3} * \frac{22}{7}

v=\frac{32*22}{3*7}

v=\frac{704}{21}

v=33.52

8 0
3 years ago
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