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2 years ago

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it

1 answer:

8 0

You would rename four and one fourth when subtracted from three fourths because when you subtract the fractions you get a different fraction for your answer.
$4 \frac{1}{4}- \frac{3}{4}= 3 \frac{1}{2}$
so you would said three and one half instead of four and one fourth.
Hope I helped!

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siniylev [52]

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In ΔABC right angled at A, D and E are points on BC, C such that BD = CD and AD ⊥ BC

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ Let us know about definition of altitude first. The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.

$\leadsto$ Median is the line segment from a vertex to the midpoint of the opposite side.

Let us Check all options one by one

CD is line segment which starts from vertex C but don't falls on opposite side AB thus it is not an altitude.❌

BA is line segment which starts from vertex B and falls perpendicularly on opposite sides AC and is thus an altitude.✔️

AD is line segment which starts from vertex A and falls perpendicularly on opposite side BC and is thus an altitude.✔️

AE is a line segment which starts from vertex A but doesn't falls perpendicularly on opposite side BC and is thus not an altitude.❌

AD falls on BC with D as mid point because BD = CD and is thus a median. ✔️

8 0

2 years ago

If f(x)=4x^2+1 and g(x)=x^2-5 find (f+g)

lutik1710 [3]

Given:
f(x) = 4x² + 1
g(x) = x² - 5

Then
(f + g)(x) = 4x² + 1 + x² - 5
= 5x² - 4

Answer: 5x² - 4

3 0

3 years ago

Read 2 more answers

The perimeter of a square is 2 feet. how many inches long is each side of the square?

Yuki888 [10]

Perimeter of a square=4*side length
2=4*side length
2/4=side length
.5 or 1/2=side length

Hope this helps!

4 0

3 years ago

Read 2 more answers

A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.

Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

$P(A) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

$P(B) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

$P(A \land B) = \dfrac{3}{8}$

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

$P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}$

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

So, we're not working anymore with the space {1,2,3,4,5,6,7,8}, but rather with {1,3,5,7} (we already know that our number is odd).

Out of these 4 odd numbers, 3 are primes. This is why the probability of picking a prime number among the odd numbers in {1,2,3,4,5,6,7,8} is 3/4: they are literally 3 out of 4.

5 0

3 years ago

Which numerical expression could represent this phrase? Sixty-three divided by nine minus the quantity ten minus two.

OverLord2011 [107]

63/9-(10-2) you just have to follow the sentence and quantity just means the total of it.

3 0

3 years ago

Read 2 more answers