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stepladder [879]
3 years ago
13

A house cast 65-foot shadow. A person standing nearby cast 7.2 foot shadow. Their height is 4.8 feet. What is the height of the

house?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

Answer:

42.43 feets

Step-by-step explanation:

Given :

(Height of house / shadow of house) = (height of person / shadow of person)

(height of house / 65) = (4.8 / 7.2)

Cross multiply

Height of house * 7.2 = 4.7 * 65

Height of house = 305.5 / 7.2

Height of house = 42.43 feets

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Solve for a.<br><br> a+(−1.2)=−5.5
Oksanka [162]
It is a + (-1.2) = -5.5
= a - 1.2 = -5.5
= a = -5.5 + 1.2
= a = -4.3

In short, Your Answer would be -4.3

Hope this helps!
4 0
3 years ago
Read 2 more answers
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
SVEN [57.7K]
(g-f)(x)=g(x)=f(x)

(g-f)(x)=6x-4+x^2

(g-f)(x)=x^2+6x-4  then:

(g-f)(3)=3^2+6*3-4

(g-f)(3)=9+18-4

(g-f)(x)=23
7 0
3 years ago
Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?
KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0
2 years ago
Read 2 more answers
Rotate the vector (0,2) 270 degrees counterclockwise about the origin
SashulF [63]
<h3>Answer:  (2,0)</h3>

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

3 0
3 years ago
If if the branding division were to experience the same percentage increase from year 2 to year 3 as they did from year 1 to yea
Sedaia [141]
Since the basis is from year 1 to year 2, calculate first for the difference of their percentages. That would be:

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We apply this same value of percentage increase from year 2 to year. Thus, the percentage for year 3 is:

% Year 3 = % Year 2 + percentage increase
% Year 3 = 2.32% + 1.22%
% Year 3 = 3.54%
6 0
3 years ago
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