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3 years ago

3.42x16.5 show your work plz

Mathematics

2 answers:

Lemur [1.5K]3 years ago

5 0

Answer:

= 56.43

Step-by-step explanation:

= 3.42 × 16.5

multiply the numbers

= 56.43

True [87]3 years ago

5 0

3.42 • 16.5 = 56.43
Explanation:
There’s an imaga attached showing the steps through ling multiplication. My handwriting is bad and these steps came from the web. Either way it is still correct.
Hope this absolutely helps!

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

Write logarithmic expression as a single logarithm.<br><br> (1/3) log 8 + log 6 - log 4

marusya05 [52]

Answer:

log3

Step-by-step explanation:

$\frac{1}{3} log8 + log6 - log4 \\ = log {8}^{ \frac{1}{3} } + log( \frac{6}{4} ) \\ = log2 + log( \frac{3}{2} ) \\ = log(2 \times \frac{3}{2} ) \\ = log3$

7 0

4 years ago

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = −8,192.

vodka [1.7K]

Geometric sequence
$a_{n}=a_{1}*r^{n-1}$
r=common ratio
a1=first term
find r

a1=8
a6=-8192
$-8192=a_{6}=8*r^{6-1}$
$-8192=8*r^{5}$
divide both sides by 8
$-1024=8*r^{5}$
take 5th root of both sides
-4=r
sub
$a_{12}=8*(-4)^{12-1}$
$a_{12}=8*(-4)^{11}$
$a_{12}=8*-4194304$
$a_{12}=-33554432$

3 0

4 years ago

Read 2 more answers

The exterior angles of a pentagon are (m+5)°, (2m+3)°, (3m+2)°, (4m+1)° and (5m+4)° respectively. Find the measure of each angle

olga nikolaevna [1]

Answer:

Step-by-step explanation:

Sum of exterior angles of any polygon =360°

Sum of exterior angles of polygon = 360°

m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360

m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4 = 360 {Combine like terms}

15m + 15 = 360 {Subtract 15 from both sides}

15m = 360 - 15

15m = 345 {Divide both sides by 15}

m = 345/15

m = 23

m + 5 = 23 + 5 = 28°

2m + 3 = 2*23 + 3 = 46 + 3 = 49°

3m + 2 = 3*23 + 2 = 69 + 2 = 71°

4m + 1 = 4*23 + 1 = 92 + 1 = 93°

5m + 4 = 5*23 + 4 = 115 + 4 = 119°

7 0

3 years ago

Read 2 more answers

What are two commonly used graphs to display the distribution of a sample of categorical dat?

allochka39001 [22]

Bar and a pie graph

5 0

3 years ago