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3 years ago

7/8 - 1/3 simplified?

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

The answer is 13/24.

Step-by-step explanation:

Firstly, you have to make the denorminator the same :

$\frac{7}{8} - \frac{1}{3}$

$= \frac{7 \times 3}{8 \times 3} - \frac{1 \times 8}{3 \times 8}$

$= \frac{21}{24} - \frac{8}{24}$

Next, you can substract it :

$\frac{21 - 8}{24} \\ = \frac{13}{24}$

Snezhnost [94]3 years ago

3 0

Answer:

13/24

Step-by-step explanation:

7/8x3=21/24

1/3x8=8/24

21-8=13/24

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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i

attashe74 [19]

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

<h3>What time does the ball take to reach maximum height?</h3>

The height of the ball as a function of time is modelled by a quadratic equation, the required information can be found by transforming the expression into vertex form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

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5 0

1 year ago

PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

2 years ago

OH NO!!! Madeleine’s data has been corrupted, again! Using the incomplete data file below, which she was able to recover from he

-Dominant- [34]

Answer:

a. N=25

b. X[bar]= 60.52

c. Y[bar]= 106.72

d. SSx= 115.24

e. ∑X*∑Y = 4036684

f. SSxy= 202020.3296

g. √(SSx*SSy)= 449.46

Step-by-step explanation:

Hello!

Using the attached data you need to calculate some statistics.

a) N

The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.

The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52

∑X is listed in the second table.

The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72

∑Y is listed in the second table.

Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24

∑X*∑Y =1513*2668= 4036684

SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296

√(SSx*SSy)= √(115.24*1753)= 449.46

I hope you have a SUPER day!

3 0

3 years ago

Figure PQRS is rotated counterclockwise

sleet_krkn [62]

I gotchu fam, a rotation is occurring and we know this because it’s rotating 180°. Figures PQRS and P’Q’R’S’ are congruent because they are the same shape and size, just in different places.

4 0

2 years ago

2 1/6 + -5/6 = ? please if its a decimal please right 3.2 instead of 3.4839

Lisa [10]

Answer:

1 2/6 is the correct answer

Step-by-step explanation:

in 2 1/6 + -5/6 what you do is you can turn the plus sign into a minus sign and make -5/6 5/6 so now the problem is 2 1/6 - 5/6 and the awnser to that is 1 2/6

4 0

3 years ago

Read 2 more answers