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3 years ago

Please Help Me! Will mark brainliest. 20 POINTS

Mathematics

1 answer:

frez [133]3 years ago

4 0

Answer: 4 bottles of orange juice per value pack

Step-by-step explanation:

There are many ways to do this so first we will take

8 and divide by 2

28 and divide it by 7

44 and divide it by 11

52 and divide by 13

Notice all of these will equal 4

Now we know that for value package purchased, there are 4 bottles of orange juice in them.

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I need answers asap... please

aleksandrvk [35]

Answer:

see explanation

Step-by-step explanation:

(4)

consider the left side

factor the numerator

cosx - cos³x = cosx(1 - cos²x)

$\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}$

cancel sinx on numerator/denominator

= cosxsinx =right side ⇒ verified

(5)

Consider the left side

expand the factors

(1 + cotΘ)² + (1 - cotΘ)²

= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ

= 2 + 2cot²Θ

= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ

= 2cosec²Θ = right side ⇒ verified

(6)

Consider the left side

the denominator simplifies to

cosxtanx = cosx × $\frac{sinx}{cosx}$ = sinx

$\frac{sin^2x(secx+cosecx)}{sinx}$

= sinx( $\frac{1}{cosx}$ + $\frac{1}{sinx}$ )

= $\frac{sinx}{cosx}$ + $\frac{sinx}{sinx}$

= tanx + 1 = right side ⇒ verified

3 0

3 years ago

Decimal to fraction 0.31

xxMikexx [17]

.=1, any figure after . is o
so, 31/100

6 0

3 years ago

PROVE : sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4

leva [86]

Step-by-step explanation:

$\sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4}$

$\sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30)$

$\frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4}$

$\frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4}$

3 0

2 years ago

Select the correct answer from each drop-down menu.

Ivahew [28]

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Step-by-step explanation:

Given,

John wraps;

2 small boxes = 4 minutes

1 small box = $\frac{4}{2} = 2\ minutes$

In 20 minutes,

20 minutes = $\frac{Total\ time}{Time per box} = \frac{20}{2}$

20 minutes = 10 small boxes

Hank wraps;

3 small boxes = 5 minutes

1 small box = $\frac{5}{3}\ minutes$

In 20 minutes = $\frac{Total\ time}{Time per box} = \frac{20}{5/3}$

$20\ minutes=\frac{20*3}{5}\\20\ minutes=\frac{60}{5}\\20\ minutes= 12\ small\ boxes\\$

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Keywords: division, multiplication

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the

Bezzdna [24]

Answer:

Remainder= 5, and the binomial $(x-1)$ is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is $(2x^3-3x^2+6)$ , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if $(x-a)$ is a factor then remiander would be $f(a)$

Therefore for $(x-1), \ {we find}\ f(1)}$

$f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5$

Thus the remainder is 5 and since it is not 0 , so the binomial $(x-1)$ is not a factor of the given polynomial.

6 0

3 years ago

Read 2 more answers