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Gre4nikov [31]
2 years ago
11

The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nea

rest hundredth. Please Help!

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
4 0

Answer:

A = 75 units²

Step-by-step explanation:

6-8-10 triangle so PL = 10

For left triangle

6/8 = PM/10

PM = 60/8 = 7.5

A = PL•PM = 7.5(10) = 75

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frutty [35]
104:91
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6 0
3 years ago
Marissa owns 135 shares of stock. Her dividend is $0.50 per share. How many shares can she buy of a different stock selling for
belka [17]

Answer:

- If the new stock is selling for $11 per share, Marissa can buy 6 shares.

- If the new stock is selling for 11 cents per share, Marissa can buy 613 shares.

Step-by-step explanation:

The question is not totally clear with the last statement.

- How many shares can she now buy of a different stock, selling for $11 per share?

- How many shares can she now buy of a different stock, selling for 11 cents per share?

Marissa has 135 shares of stock

Each share has a dividend of $0.50 per share,

The dividend from her 135 shares of stock would be 135 × $0.5 = $67.5

How many shares can she now buy of a different stock, selling for $11 per share?

= ($67.5/$11) = 6.14 ≈ 6 shares

If the new stock is selling for 11 cents per share, the number of shares she can buy = (67.5/0.11) = 613.6 ≈ 613 shares

Hope this Helps!!!

8 0
3 years ago
Read 2 more answers
Find the length of the leg. If your answer is not an integer, leave it in simplest radical form. answer asap pls
Nitella [24]
A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths. 

Therefore: 
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24        Divide both sides by √2
x = 24 / √2        
To get the radical out of the denominator, multiply the right side by √2/√2
x = 24√2 / 2
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3 0
3 years ago
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A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

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Vadim26 [7]
X-2 for x=-3
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