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2 years ago

Question 16. I need to know how to do this problem because I have a math final tmr!

Mathematics

1 answer:

aniked [119]2 years ago

6 0

A ratio shows us the number of times a number contains another number. Monique should choose the third option.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given Monique prefers the ratio of multiple-choice questions to essay questions to be 4:1, Therefore, we can write,

Multiple choice questions/ essay questions = 4/1,

If we multiply both the numerator and the denominator by 6, the ratio will be,

Multiple choice questions/ essay questions = 4/1 × 1

Multiple choice questions/ essay questions = (4/1) × (6/6)

Multiple choice questions/ essay questions = 24 / 6

Thus, Monique should choose the third option.

Learn more about Ratios:

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cluponka [151]

Choice 2222222222222222222222222222222

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3 years ago

There are 49 students had their lunch in the cafeteria. One-

Harman [31]

7 students brought lunch from home

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2 years ago

Josie found a small bird bath at a garage sale. The bird bath has a circular opening with a radius of 10 cm, as shown in the dia

sveticcg [70]

Answer: 1256cm

Step-by-step explanation:

8 0

3 years ago

The simple interest on a sum of money for 2 years at 12% per annum is rupees 1380

julia-pushkina [17]

Answer:

5750

710.7

Step-by-step explanation:

Simple interest = principal. * rate * time

Principal (p) = sum of money

1380 = p * 0.12 * 2

1380 = 0.24p

p = 1380 / 0.24

p = 5750 rupees.

The compound interest :

A = P(1 + r/n)^nt

A = final amount

n = number of compounding times per period

t = period

A = 5750(1 + 0.12/2)^2*1

A = 5750(1 + 0.06)^2

A = 5750(1.06)^2

A = 5750 * 1.1236

A = 6460.7

Hence, compound interest is :

Final amount - principal

6460.7 - 5750

= 710.7 rupees

4 0

3 years ago

Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me

o-na [289]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

= - cos60cosx - sin60sinx

= - $\frac{1}{2}$ cosx - $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos² (120 + x)

= $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

= -cos60cosx + sin60sinx

= - $\frac{1}{2}$ cosx + $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos²(120 - x)

= $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x + $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

= cos²x + $\frac{1}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ (cos²x + sin²x) = $\frac{3}{2}$

5 0

3 years ago