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3 years ago

Find two fractions equviivlent 6/7

2 answers:

6 0

12/14

18/21

if you multiply the numerator and denominator of a fraction by same number, you can get an equivalent fraction

good luck

agasfer [191]3 years ago

4 0

The fractions 12/14 and 18/21 are equivalent to 6/7.

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What scale factor was applied to the first rectangle to get the resulting image? Enter your answer as a decimal in the box.

zysi [14]

Answer:

Step-by-step explanation:

the answer was 0.2

4 0

3 years ago

If <img src="https://tex.z-dn.net/?f=tan%20%28x%29%20%3D%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title="tan (x) = \frac{5}{12

Alekssandra [29.7K]

Explanation:

First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

$\sin x = -\frac{5}{13}\;\;\text{and}\;\;\cos x = -\frac{12}{13}$

Note that both sine and cosine are negative because x is in the 3rd quadrant.

Recall the addition identities listed below:

$\sin(\alpha + \beta) = \sin\alpha\sin\beta + \cos\alpha\cos\beta$

$\Rightarrow \sin(180+x) = \sin180\sin x + \cos180\cos x$

$\;\;\;\;\;\;= -\sin x = \dfrac{5}{13}$

$\cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta$

$\Rightarrow \cos(180 - x) = \cos180\cos x + \sin180\sin x$

$\;\;\;\;\;\;=-\cos x = \dfrac{12}{13}$

$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta}$

$\Rightarrow \tan(360 - x) = \dfrac{\tan 360 - \tan x}{1 + \tan 360 \tan x}$

$\;\;\;\;\;\;= -\tan x = -\dfrac{5}{12}$

Therefore, the expression reduces to

$\sin(180+x) + \tan(360-x) + \frac{1}{\cos(180-x)}$

$\;\;\;\;\;= \left(\dfrac{5}{13}\right) + \left(\dfrac{5}{12}\right) + \dfrac{1}{\left(\frac{12}{13}\right)}$

$\;\;\;\;\;= \dfrac{49}{26}$

5 0

2 years ago

Dylan wants to invest $3500 for 5 years. The bank offers him 4%/a compounded weekly. Calculate the final amount of this investme

yan [13]

Answer:

the final amount value is $4,274.58

Step-by-step explanation:

Given that

Present value = $3,500

Time period = 5 × 52 = 260

Rate of interest = 4% ÷ 52 = 0.0769%

We need to determine the final amount i.e. future value

So as we know that

Future value = Present value × (1 + rate of interest)^time period

= $3,500 × (1 + 0.0769%)^260

= $4,274.58

Hence, the final amount value is $4,274.58

5 0

3 years ago

An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-t

notsponge [240]

Answer:

2.542

Step-by-step explanation:

Given the data :

Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)

A 6 8 2

B 5 5 0

C 10 10 0

D 7 10 3

E 6 8 2

F 5 6 1

G 2 8 6

This is a paired test as each subject has two different data values :

Difference in score, d :

dbar = Σd / n

dbar = (2+0+0+3+2+1+6) /

dbar = 14 / 7

dbar = 2

Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]

Using calculator ; Sd = 2.082

Test statistic = dbar ÷ (Sd/√n)

Test statistic = 2 ÷ (2.082 / 7)

Test statistic = 2 ÷ 0.7869220

The statistic = 2.5415

7 0

3 years ago

A pet store is having a pet fish sale. Lenny bought p platies and l loaches. Write an algebraic expression to represent the tota

IrinaK [193]

You would write the expression as nP +nL=cost because it’s the number of plagues that he buys plus the number of loaches that he buys

4 0

3 years ago

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