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3 years ago

HELP FAST I NEED THIS IN 5 MIN 20 POINTS GET IT RIGHT AND I WILL ADD 9

Mathematics

2 answers:

strojnjashka [21]3 years ago

8 0

Yes, 4/8 and 1/2 are equivalent, because 4/8 reduced to simplest form is 1/2.

ANTONII [103]3 years ago

7 0

Yes, they are equivalent. as 4/8 simplified is 1/2.

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Circle A and circle B are congruent. CD is a cord of both circles. if AB = 24 inches in the radius is 13 inches how long is CD A

Nitella [24]

Option A

Length of CD is 10 inches

Solution:

The diagram is attached below

Given that, Circle A and circle B are congruent

CD is a cord of both circles

AB = 24 inches

Radius = 13 inches

To find: length of CD

Draw a straight line connecting A and C

AC represents the radius of circle. Also given that radius is 13 inches, So AC = 13 inches

Given in question that AB = 24 inches

Therefore from figure, AO = AB/2 = 24/2 = 12

AO = 12

Let "b" be the length of CO

Therefore, CD = CO + OD = b + b

AOC forms a triangle, so we can use pythogoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for triangle AOC

$AC^2 = AO^2 + OC^2$

Substituting AC = 13 and AO = 12 and OC = b

$13^2 = 12^2 + b^2\\\\b^2 = 169 - 144\\\\b^2 = 25\\\\b = 5$

Thus length of CD is:

CD = b + b = 5 + 5 = 10

Thus length of CD is 10 inches

8 0

3 years ago

Which fraction out of 5/8 and 7/11 is closest to 2/3?

Triss [41]

Well... hell, let's just convert them all with the same denominator then

hmmm let's see, we have the denominators of 8,11 and 3

so... we'll multiply the 5/8 times (11*3) or 33
and then we'll multiply 7/11 times (8*3) or 24
and then we'll multiply 2/3 times (8 * 11)

notice, we're simply using the other's denominator's product, to multiply the fractions... anyhow... let's check

$\bf \cfrac{5}{8}\cdot \cfrac{3\cdot 11}{3\cdot 11}\implies \cfrac{165}{264}
\\\\\\
\cfrac{7}{11}\cdot \cfrac{8\cdot 3}{8\cdot 3}\implies \cfrac{168}{264}
\\\\\\
\cfrac{2}{3}\cdot \cfrac{8\cdot 11}{8\cdot 11}\implies \cfrac{176}{264}\\\\
-------------------------------\\\\
\textit{now, which of }\cfrac{165}{264}\textit{ and }\cfrac{168}{264}\textit{ is closest to }\cfrac{176}{264}\quad ?$

7 0

3 years ago

Two pools are being filled with water. To start, the first pool contains 890 liters of water and the second pool is empty. Water

mars1129 [50]

Let x=amount of time it takes both pipes draining together to empty the pool
First pipe empties at the rate of 540,000/150=3600 liters/min
Second pipe empties at the rate of 540,000/225=2400 liters/min
Together, both pipes empties at the rate of 3600+2400=6000 liters/min, so our equation to solve is:
6000*x=540000

7 0

4 years ago

Match the stem and leaf plot below to the correct set of data.

lianna [129]

Choice A is the answer

Focus on the stem and leaf plot
In row 1 we have 1.6, 1.5 and 1.5
In row 2,we have 2.1, 2.1 and 2.1
In row 3, we have 3.6 and 3.5
So the data values are: 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6

Side Notes:
We can rule out choice B because 3.7 is not a data value (there is no "7" anywhere in the leaves)
We can rule out choices C and D because they aren't even decimal values matching the format mentioned in the key of the stem and leaf plot.

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4 years ago

Hunter is riding his bike to the library which is 3 kilometers away and how many meters away is the library

Ainat [17]

It would be 3,000 meters away considering there are exactly 1,000 meters in 1 kilometer so 1,000 × 3 =3,000

4 0

4 years ago