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3 years ago

5.39 repeating decimal as a mixed number

Mathematics

2 answers:

Archy [21]3 years ago

7 0

Round 5.39999.....as 5.4
5 4/10, reduce which is 5 2/5

Troyanec [42]3 years ago

4 0

The answer is 5 39/100, we can't reduce it any further. Since, the 5 is the whole number, we write 5, then 39/100, because 39 the 9th is on the 100ths place, so we put 39/100

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A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of

Contact [7]

Answer:

The magnitude of the resultant force is:

$R=100.3 \:pound$

The direction is:

$\theta=1.2^{\circ}$

Step-by-step explanation:

Let's find the components of each vector is x and y-directions first.

<u>Sum of x-component vector forces.</u>

$F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)$

$F_{tot-x}=50cos(45)+75cos(30)$

$F_{tot-x}=100.3 \: pound$

<u>Sum of y-component vector forces.</u>

$F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)$

$F_{tot-y}=-50sin(45)+75sin(30)$

$F_{tot-y}=2.1 \: pound$

The magnitude of the resultant force is:

$R=\sqrt{100.3^{2}+2.1^{2}}$

$R=100.3 \:pound$

The direction is:

$tan(\theta)=\frac{2.1}{100.3}$

$\theta=arctan(\frac{2.1}{100.3})$

$\theta=1.2^{\circ}$

I hope it helps you!

4 0

3 years ago

A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The su

maria [59]

Probability (rock) :

78 / 150 = 13/25 = 52%

Rock is preferred by 52% of the 150 visitors that were surveyed

To find how many people will likely sell from the rock genre, you need to find 52% of the estimated sales (6,000 copies).

52% • 6000 = 3,120

Answer: C. 3,120

4 0

3 years ago

Read 2 more answers

Statistics

user100 [1]

Answer:

Step-by-step explanation:

The lower bound is 10.5 and the upper bound is 15.9

Hope it helps!

8 0

1 year ago

Which of the following statements is true?

mariarad [96]

Answer:

Sedimentary rocks usually form in visible layers

Step-by-step explanation:

A is wrong because not all igneous rock is formed by pressure

B is wrong because sedimentary rock is usually a surface rock

C is wrong because the rock cycle is sporadic and doesn't always end in igneous rock

D is correct because sedimentary rock is formed from years and years of sediment layering on top of each other

8 0

2 years ago

Read 2 more answers

Pls help me!!!

Olenka [21]

Answer:

Step-by-step explanation:

A box plot is the diagrammatic representation of the five number summary. It includes 5 items:

The minimum.

Q1 = the first quartile or the 25% mark.

The median.

Q3 = the third quartile or the 75% mark.

The maximum.

Rearranging the data in ascending order, it becomes

169, 163, 153, 166, 149, 148, 146, 145, 152, 163

145, 146, 148, 149, 152, 153, 163, 163, 166, 169

Minimum = 145

Maximum = 169

Median = (152 + 153)/2 = 152.5

The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3

Q1 = 148

Q3 = 163

The diagram of the box plot is shown in the attached photo

8 0

2 years ago