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3 years ago

Is 1/4 equivalent to 1/8? use the number lines below and the drop-down menus to explain your answer

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

The left side 0.25 does not equal to the right side 0.125 , which means that the given statement is false.

Igoryamba3 years ago

8 0

Answer:

no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8

hope this helps

have a good day :)

Step-by-step explanation:

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Sav [38]

Answer:

FALSE

Step-by-step explanation:

<E in ∆AED ≅ <E in ∆CEB.

Both are 90°.

Side ED ≅ Side EB

Side AD ≅ Side CB.

Thus, two sides (ED and AD) and a non-included angle (<E) of ∆AED are congruent to corresponding two sides (EB and CB) and a non-included angle (<E) of ∆CEB. Therefore, by A-S-S Congruence Theorem, both triangles are congruent to each other not by SSS.

8 0

2 years ago

25 to 75 in ratio lowest term

ANTONII [103]

25 to 75 in lowest terms:

25:75 = 1:3

8 0

3 years ago

a recipe that serves 4 calls for 1 3/4 cups of tomato sauce. if jerry makes 2 1/2 time that amount, how many cups of tomato sauc

ANEK [815]

Answer:

4 3/8 cups

Step-by-step explanation:

5 0

3 years ago

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price. Find the cost price.

hjlf

Answer:

Step-by-step explanation:

<h2><u>☼︎</u><u>Answer:</u></h2>

The cost price of cow = Rs.80

Explanation:

<h2><u>☼︎</u><u>Given :-</u></h2>

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price.

The cost price.

The cost price of cow = Rs.x

<h2><u>☼︎</u><u>Solution :-</u></h2>

$\sf x + x \: of \: x\%= 144 \\ \\ \sf \implies x + \frac{x \times x}{100} = 144 \\ \\ \sf \implies {x}^{2} + 100x - 14400 = 0 \\ \\ \sf \implies x(x - 80) + 180(x - 80) = 0 \\ \\ \sf \implies x + 180 = 0 \\ \\ \sf \implies x = - 180 \\ \\ \sf \therefore \: {\boxed{ \sf \pink{x = 80}}}$

<h2><u>Hence: </u></h2>

The cost price of cow =<u>R</u><u>s</u><u>8</u><u>0</u>

4 0

2 years ago

Read 2 more answers

Find the length of the curve given by ~r(t) = 1 2 cos(t 2 )~i + 1 2 sin(t 2 ) ~j + 2 5 t 5/2 ~k between t = 0 and t = 1. Simplif

xxMikexx [17]

Answer:

The length of the curve is

L ≈ 0.59501

Step-by-step explanation:

The length of a curve on an interval a ≤ t ≤ b is given as

L = Integral from a to b of √[(x')² + (y' )² + (z')²]

Where x' = dx/dt

y' = dy/dt

z' = dz/dt

Given the function r(t) = (1/2)cos(t²)i + (1/2)sin(t²)j + (2/5)t^(5/2)

We can write

x = (1/2)cos(t²)

y = (1/2)sin(t²)

z = (2/5)t^(5/2)

x' = -tsin(t²)

y' = tcos(t²)

z' = t^(3/2)

(x')² + (y')² + (z')² = [-tsin(t²)]² + [tcos(t²)]² + [t^(3/2)]²

= t²(-sin²(t²) + cos²(t²) + 1 )

................................................

But cos²(t²) + sin²(t²) = 1

=> cos²(t²) = 1 - sin²(t²)

................................................

So, we have

(x')² + (y')² + (z')² = t²[2cos²(t²)]

√[(x')² + (y')² + (z')²] = √[2t²cos²(t²)]

= (√2)tcos(t²)

Now,

L = integral of (√2)tcos(t²) from 0 to 1

= (1/√2)sin(t²) from 0 to 1

= (1/√2)[sin(1) - sin(0)]

= (1/√2)sin(1)

≈ 0.59501

8 0

3 years ago