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3 years ago

Write 5.63 as a mixed number in simplest form. 5.63 = ( It a repeating decimal)

Mathematics

2 answers:

Mademuasel [1]3 years ago

8 0

Checking the calculations. 5.63 in a fraction is written as 563/100. Therefore the person above is correct.

CaHeK987 [17]3 years ago

5 0

5 63/100 is the mixed number in simplest form

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You are attempting to make a scale drawing of your room. The actual size of your room is 12 feet

olga2289 [7]

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

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4 years ago

What else would need to be congruent to show that ABC DEF by ASA?

babunello [35]

The answer is C (APEX)

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4 years ago

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The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minu

Umnica [9.8K]

Answer:

63 km

Step-by-step explanation:

Given :

Speed = 315 km/h
Time = 12 minutes

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

There are 60 minutes in an hour
Therefore, 12 minutes is equal to :
12/60 hours
1/5 hours
0.2 hours

Calculating distance

Distance = Speed x Time
Distance = 315 km/h x 0.2 h
Distance = 63 km

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2 years ago

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Find the indicated nth partial sum of the arithmetic sequence. −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

$=1860-330$

$=1530$

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4 years ago

A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from th

GREYUIT [131]

Answer:

61.57 ft

Step-by-step explanation:

Look at the picture. You need to find the base value.

so we can sue the cosine formula here.

cos x° = adjacent / hypotaneous

cos 52 ° = adj / 100

adjacent = 100 cos 52°

=61.57 ft

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3 years ago

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