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mr Goodwill [35]
3 years ago
13

A woman who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the

same time that the Space Needle casts a 121-foot shadow. How tall is the Space Needle?
Mathematics
1 answer:
geniusboy [140]3 years ago
7 0
Converting to inches we have
\\  \frac{65}{13} =  \frac{x}{121 \times 12} \: or \\  \frac{65}{13} =  \frac{x}{1452} \: so \\ (65)(1452) = 13x \: so \\ x =  \frac{(65)(1452)}{13} = 7260 \: inches \\  =  \frac{7260}{12} = 65feet \\ as \: the \: height \: of \: the \: space \: needle
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Helene spends 3%of her budget on transportation expenses. Enter this percent as a
Vesnalui [34]

3% as a decimal is 0.03 and I think 3% as a fraction in simplest form is 3/100

8 0
3 years ago
Simplify 3(2x + 5) <br> A. 6x + 30 <br> B.6x + 15<br> C. 6x + 5
Nana76 [90]

3(2x/5)  

Final result :

 6x

 ——

 5  

Step by step solution :

Step  1  :

           x

Simplify   —

           5

Equation at the end of step  1  :

          x

 3 • (2 • —)

          5

Step  2  :

Final result :

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5 0
3 years ago
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Rewrite 67/10 as an improper fraction.
r-ruslan [8.4K]
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8 0
3 years ago
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On a map, the distance between two towns is 3.4 inches. The map scale is 2 inches: 25 miles. What is the actual distance between
Mariulka [41]
For this question we can solve it by setting up a proportion:

\frac{2inches}{25 miles}= \frac{3.4inches}{x}

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:

2x=85
x=42.5miles

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4 0
3 years ago
What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​
Andrews [41]
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - (-8) =  ⁵/₂ (x - 2)

                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

7 0
3 years ago
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