Ask question

Ask question

All categories

2 years ago

6

Caroline, Krutika and Natasha share some sweets in the ratio 1:2:4. Caroline gets 14 sweets.

1 answer:

lisov135 [29]2 years ago

5 0

Answer:

98 sweets

Step-by-step explanation:

Caroline got 14 sweets, ratio for her was 1.

Krutika had twice the bigger ratio than her, which means you have to multipy Carolines' sweets by 2. -> 14*2= 28

And do the same thing for Natasha which gives us the result of 56. 14*4= 56

And finally, you add all of those together and get 14+28+56=98.

Hope I helped! :)

You might be interested in

Someone please help will mark as brainliest

Anit [1.1K]

Answer:

Perpendicular(p)=21

base(b)=20

hypotenuse(h)=29

Step-by-step explanation:

Now by using the formula:

cos A=b/h

i.e 20 by 29

5 0

2 years ago

In November, the price of a GizmoPhone was double the price in March. In December, the price was $57, which was $29 less than th

Jet001 [13]

<span>December = $57

</span><span>In December, the price was $57, which was $29 less than the price in November then November price was: $57 + $29 = $86
</span><span>In November, the price of a GizmoPhone was double the price in March. so March: $86 x 2 = $172

answer: the price </span>of a GizmoPhone in March was $172

7 0

3 years ago

2: Which equation does not belong with the other three? Explain. Thank you so much in advance.

zmey [24]

Answer:

y=x² +6

Step-by-step explanation:

This is the only 2nd-degree equation in the group: y = x² + 6. The others are linear equations.

4 0

3 years ago

Read 2 more answers

Find the value of cos G rounded to the nearest hundredth.

Amiraneli [1.4K]

Answer:

$\sf \cos(G)=\dfrac{1}{2}$

Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = G
A = GF = 2
H = EG = 4

$\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}$

8 0

1 year ago

Read 2 more answers

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...<em>rationalizing </em>

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...<em>taking 2 as a common factor</em>

<em>⇒ </em> $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As<em>, </em> $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

<em>⇒ </em> $cos(45-60)=\frac{( 1.41+2.44)}{4}$ <em />

<em>⇒ </em> $cos(45-60)=\frac{( 3.85)}{4}$ <em />

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

2 years ago