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NikAS [45]
2 years ago
14

The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizon

tal distance and y represents height, both in meters. Review the diagram of the dam.
On a coordinate plane, a curve goes up from (0, 0) to point z. A horizontal line continues from z. y = 24 (StartFraction x Over 10 EndFraction) squared

Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?

24 meters
36 meters
54 meters
72 meters
Mathematics
2 answers:
Brut [27]2 years ago
8 0

Answer:

54

Step-by-step explanation:

edge

svetoff [14.1K]2 years ago
7 0

Answer:

c

Step-by-step explanation:

took quiz on edge

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State the postulate of the theorem that justifies the answer
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From the given information, we can note that angle1 and angle2 are corresponding angles with respect to line u. Angle2 and angle9 are alternate exterior angles with respect to the right vertical line and angle5 and angle7 are alternate interior angles with respect to line v.

Therefore, the theorems which justify the answer are, respectively: Corresponding angles theorem, Alternater exterior angles theorem and Alternate Interior angles theorem.

3 0
1 year ago
What is 60% of 150? Please answer.
garri49 [273]

Answer:

90

Step-by-step explanation:

3 0
2 years ago
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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
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Solve for x.<br><br> 5/6 x = 10/3<br><br> x = 4/3<br><br> x = 2<br><br> x = 25/9<br><br> x = 4
SashulF [63]

Answer: LAST OPTION.

Step-by-step explanation:

In order to solve for the variable "x" from the expression \frac{5}{6}x=\frac{10}{3}, you need to follow these steps:

1) You need to multiply both sides of the equation by 3:

3(\frac{5}{6}x)=(\frac{10}{3})(3)\\\\\frac{15}{6}x=10

2)  You need to multiply both sides of the equation by 6:

(6)(\frac{15}{6}x)=(10)(6)\\\\15x=60

3) Finally, you can divide both sides of the equation by 15:

\frac{15x}{15}=\frac{60}{15}\\\\x=4

4 0
3 years ago
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Find the derivative of f(x) = 11x2 + 5x at x = 9.
Yakvenalex [24]
F(x) = 11x² + 5x 

f'(x) = 22x + 5

Hence,

f'(9) = (22 * 9) + 5 = 198 + 5 = 203
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3 years ago
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