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Karo-lina-s [1.5K]
2 years ago
5

NEED HELP !! please word problems

Mathematics
1 answer:
Anika [276]2 years ago
5 0

Answer:

216.108280255π

(maybe round it to 216.1π or 216π)

Step-by-step explanation:

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The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length
Nataly_w [17]

Answer:

  3 cm

Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

  k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

5 0
3 years ago
Custer.com's outstanding stock is 100 shares of $100, 6% cumulative nonparticipating preferred stock, and 1,000 shares of $10 pa
Semmy [17]
Common stockholders would receive $800.

(100 shares x $100) 10,000 x 6% = $600 - this is the amount paid to preferred stockholders per year. 

Since Custer.com also paid the dividend in arrear last year, $600 x 2yrs = $1,200 is the total amount paid to preferred stockholders this year. 

Cash dividends - $2,000
Preferred sh        <u>($1,200)
</u>Common sh         $ 800<u>
</u>
8 0
3 years ago
Read 2 more answers
Find the value of h(-67) for the function below. h(x) = -49x − 125 A. 3,283 B. -3,408 C. 3,158 D. -1.18
Paraphin [41]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

h(x) =  - 49x - 125

To find h(-67) , substitute the value of x that's - 67 into h(x). That is for every x in h(x) , replace it with - 67

We have

h( - 67) =  - 49( - 67) + 125 \\  = 3283 - 125

We have the final answer as

<h3>h( - 67) = 3158</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
Hi, can you help to find (all the roots/zeros), please!!!
OLga [1]

Solution

Given the quadratic equation

x^2-2x-38=0

we need to find the zeros of the equation

To do that, we use the completing the square method

Step 1. Add 38 to both sides

\begin{gathered} \Rightarrow x^2-2x-38+38=38 \\  \\ \Rightarrow x^2-2x=38 \end{gathered}

Step 2: add the square of half of the coefficient of x to both sides

That is;

\begin{gathered} \Rightarrow x^2-2x+(\frac{1}{2}\cdot(-2))^2=38+(\frac{1}{2}\cdot(-2))^2 \\  \\ \Rightarrow x^2-2x+1=38+1 \\  \\ \Rightarrow x^2-2x+1=39 \\  \\ \Rightarrow(x-1)^2=39 \end{gathered}

Step 3: Simplify the above expression;

\begin{gathered} \Rightarrow x-1=\pm\sqrt[]{39} \\  \\ \Rightarrow x=1\pm\sqrt[]{39} \end{gathered}

4 0
11 months ago
The table below follows the rule y = kx, where k is the constant of proportionality,
777dan777 [17]
I would say c.15
Because I said so
8 0
3 years ago
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