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Black_prince [1.1K]
3 years ago
15

Please Help!!!

Mathematics
1 answer:
astraxan [27]3 years ago
8 0
1) s - | -4 | = 7.3 

First, simplify | -4 | to 4. / Your problem should look like: s - 4 = 7.3 . 
Second, add 4 to both sides. / Your problem should look like: s = 7.3 + 4.
Third, simplify 7.3 + 4 to get 11.3. / Your problem should look like: s = 11.3, which is your answer.

2) p + \frac{1.6}{-0.4} = -12

First, simplify \frac{1.6}{-0.4} to - \frac{1.6}{0.4} . / Your problem should look like: p + - \frac{1.6}{0.4} = -12.
Second, simplify \frac{1.6}{0.4} to 4. / Your problem should look like: p - 4 = -12.
Third, add 4 to both sides. / Your problem should look like: p = -12 + 4.
Fourth, simplify -12 + 4 to -8. / Your problem should look like: p = -8, which is your answer. 





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The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g
Over [174]
\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
7 0
3 years ago
Read 2 more answers
What Ps the value<br>of (100)^o​
Bond [772]

Answer:

(100)^0=1

Step-by-step explanation:

This follows the laws of indices

6 0
3 years ago
Help
djverab [1.8K]

Answer:

x=7

Step-by-step explanation:

Find slope first

m-\frac{y2-y1}{x2-x1}

m=\frac{6-5}{7-7}

m=\frac{1}{0}\\

m is undefined- so it is a vertical line

x=7

6 0
3 years ago
Compute the loss of head and pressure drop in 200 ft of horizontal 6-in diameter asphalted cast iron pipe carrying water with a
laiz [17]

Answer:

The answer is below

Step-by-step explanation:

12 inches = 1 ft.

6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.

Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.

The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²

The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²

ε/D = 0.0004 ft./ 0.5 ft. = 0.0008

Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.

The head loss (h) is:

h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft

The pressure drop (Δp) is:

Δp = ρgh_f = (62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2

5 0
3 years ago
Pentagon CDEFG is shown on the coordinate plane. Pentagon CDEFG is translated 7 units up and 5 units left, resulting in C'D'E'F'
Sati [7]

Answer:

The length of line segment FG is equal to the length of F'G'

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

Step-by-step explanation:

Given

CDEFG and C'D'E'F'G

Translation: 7 units up and 5 units left

Solving (a): Segment FG and F'G'

When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)

Hence:

FG = F'G'

Solving (b): Perimeter CDEFG and C'D'EF'G'

In (a), we established that lengths do not change during translation;

Hence:

The perimeter of the CDEFG and C'D'EF'G' will remain the same

3 0
3 years ago
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