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Vadim26 [7]
2 years ago
11

A souvenir of the Eiffel Tower is scaled at 1/80 inch to 1 foot. If the total height of the tower is 1,069 feet, the approximate

height of the souvenir of the Eiffel Tower to the nearest tenth is _____.
A.14

B.15

C.13

D.12
Mathematics
1 answer:
kotegsom [21]2 years ago
7 0

Answer: Option C

the approximate height of the souvenir of the Eiffel Tower to the nearest tenth is __13 in___.

Step-by-step explanation:

We know that each foot of height of the Eiffel Tower is equivalent to 1/80 inch of height of the souvenir.

The Eiffel Tower is 1,069 feet high.

Then the height of the souvenir the 1,069 times 1/80 in

h = 1,069 *\frac{1}{80}\\\\h=13.3\ in

The answer is the option C

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Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX? 8 units units 12 units units
motikmotik
I assume there is a missing piece of information here, either the area or the perimeter should be given.
I'll just tell you how to solve this type of problems and you can apply using the information in your question.

If YV is the width of the rectangle, then YX will be its length.

Now, if the area is known:
area of triangle = width x length = YV x YX
YX = area / 24

If the perimeter is known:
perimeter of rectangle = 2 (length + width)
perimeter = 2 (YV + YX)
YX = (perimeter / 2) - 24
6 0
2 years ago
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People at the state fair were surveyed about which type of
Ronch [10]

Answer:

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

                      Pink Lemonade         Yellow Lemonade       TOTAL

 

Male                    156                                104                          260

 

Female                  72                               48                          120

 

TOTAL                 228                               152                         380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

6 0
2 years ago
Solve for x, given the equation Square root of x plus 9 − 4 = 1.
finlep [7]

Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.

First, we are going to solve our equation algebraically:

Step 1 simplify the equation:

\sqrt{x} +9-4=1

\sqrt{x}+ 5=1

Step 2 subtract 5 from both sides of the equation:

\sqrt{x} +5-5=1-5

\sqrt{x} =-4

Step 3 square both sides of the equation:

\sqrt{x} ^2=(-4)^2

x=16

Next, we are going to replace our solution in our original equation and check if it is a valid solution:

\sqrt{x} +9-4=1

\sqrt{16} +5=1

4+5=1

9\neq 1

Since 9 is not equal to 1, x=16 is not valid solution of the equation; therefor it is an extraneous solution.

We can conclude that the correct answer is: x = 16, solution is extraneous

8 0
2 years ago
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Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

            (2x + 7) = 4

To Find :  how many bags he needs?

Solution :

(2x + 7) = 4

2x=-3

x=-\frac{3}{2}

Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

Substitute the value of x

B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

B=8.5

Hence 8.5 bags are needed.

3 0
2 years ago
A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
fomenos
A dilation is a transformation D_{o,k}(x,y), with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor, \frac{1}{2} is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If D_{o, \frac{1}{2} }(x,y) is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

D_{o, \frac{1}{2} }(x,y)=( \frac{1}{2}x,  \frac{1}{2}y)

The distance from A' to the origin is half the distance from A to the origin.</span>
3 0
2 years ago
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