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Yuki888 [10]
3 years ago
11

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi

ng that is 22 meters high with one of the radios and stands directly above the building’s entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter?
Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0
Using <span>Pythagorean theorem: c^2 = a^2 + b^2, and if a = 22 and b = 50
c^2=484+2500
c=sqrt 2984
c=55 meters</span>
butalik [34]3 years ago
3 0

Answer:

55 meters

Step-by-step explanation:

A right triangle is formed, where one leg is the height of the building (let's call it x), the other leg is the distance between Donna and the entrance (let's call it y) and the hypotenuse is the distance between the two girls (let's call it z). From Pythagorean theorem:

z² = x² + y²

z = √(x² + y²)

Replacing with x = 22 m and y = 50 m we get the range of communication for the two radios.

z = √(22² + 50²)

z = 55 m

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mihalych1998 [28]
Check the picture.

since the choices all have rotation about the origin, we must shift the original triangle in a suitable position. This is done by connecting any of the points of A'B'C' to the origin, and extend this line segment, as shown in the picture.

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We see that the distance CC'' is 5.

So 

Answer is: 

"<span>A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin</span>"

8 0
3 years ago
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38. What is the solution to 2(x - 6) = 14?
ivanzaharov [21]

Answer:

x=13, 16(x-1)

Step-by-step explanation:

For 38, you have to first divide both sides by 2.

This becomes, x-6=7

Add 6 to both sides

x=13.

For 40. You can can distribute the 8.

This makes it 16x-16.

With this you can than, factor out the 16.

16(x-1).

5 0
3 years ago
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Cuanto es menos 7 mas 2
irina [24]

Answer:

the answer is -5. you could really just use a calculator this is pretty basic math.

Step-by-step explanation:

6 0
3 years ago
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Both lines pass through the point (-3,-4). one has a slope of 4 and the other has a slope of -1/4
Alchen [17]
If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
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So the equation of the first line is y= 4x + 13.

Now, we'll do the same thing but for the second line:
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Hope this Helps! :)
3 0
3 years ago
Please help!!! How many coefficients does this polynomial have in its complete form, including any missing terms?
frez [133]
-5x^3 + 2x^2 + 1

a coefficient is the number that is multiplied by the variable.For instance, the coefficient of 2x is 2....because 2 (the number) is multiplied by the variable x.

so in ur problem....there are 2 coefficients..-5 and 2.

** the number 1 is not a coefficient, it is a constant...a " loner " with no variables (letters) attached.

** and if u have just the letter...such as n, the coefficient to that is 1 but the one is just not written...it is actually 1n.

okay...I am gonna shut up now :) 
7 0
2 years ago
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