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Naddik [55]
2 years ago
12

Nan says 21/4 is equal to 5 1/4. Dorothy says it is equal to 4 1/5. Who is correct? Show your work to prove the right answer.

Mathematics
2 answers:
Nostrana [21]2 years ago
5 0

Answer: Nan

Step-by-step explanation:

21 divided by 4 is 5.25

if you turn that into a fraction, it will be 5 1/4.

if a decimal ends in .25 it will be equivalent to the fraction 1/4

think of it like with quarters, four of them make 1.00 and on quarter makes .25

White raven [17]2 years ago
4 0

Answer:

21/4 is equal to 5 1/4

Step-by-step explanation:

converting improper fraction to mixed fraction

21/4 = (4*5 + 1 )/ 4 = 5 1/4

and 4 1/5 = (4*5 + 1) / 5  = 21 / 5

so Nan is correct

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Mr. And Mrs ikan deposited $15,000 into college savings accounts with an annual compound interest rate 5.25% when their daughter
m_a_m_a [10]

Answer:

$37,650

Step-by-step explanation:

A=15000(1+0.0525)^18

A=15000(2.51)

A=37650

8 0
3 years ago
Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.
dusya [7]

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

(x + 6)² + (y - 9/2)² = 100

3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

4 0
3 years ago
Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?
oksano4ka [1.4K]

Yes it is true:

(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful

4 0
2 years ago
Feliz is looking at a cyclic quadrilateral EFGH. He says, "I'm not convinced that opposite
azamat

If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.

<h3>How to find angles of cyclic quadrilateral?</h3>

A cyclic quadrilateral is inscribed in a circle. It has all its vertices on the circumference of the circle.

Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.

Therefore,

∠F + ∠H = 180°

∠G + ∠E = 180°

Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.

Therefore, Felix was wrong.

learn more on cyclic quadrilateral here: brainly.com/question/21208662

#SPJ1

5 0
2 years ago
9x^2 - 4y - a <br> evaluate the expression given<br> x = -2, y = 3, a = -4
Tema [17]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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