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anzhelika [568]
3 years ago
7

a 18 ft tall statue standing next to a globe casts a 12 ft shadow. Of the globe casts a shadow that is 2 ft ling, then how tall

is it?
Mathematics
1 answer:
Igoryamba3 years ago
4 0
<h3>Answer:</h3>

3 ft

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

The statue's height is 1.5 times the length of its shadow, so we expect the same relationship for the globe.

... 1.5 × 2 ft = 3 ft

_____

<em>Comment on the problem</em>

As a practical matter, with the sun high enough in the sky to cast a shadow shorter than the object's height, it will be quite difficult to measure the length of the shadow of the point at the top of the globe. The shadow of other parts of the globe will interfere.

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Describe the cross section
hichkok12 [17]
The answer for the exercise is the third option, which is: Hexagon.
 The explanation is shown below:
 As you can see in the figure attached, the cross section is a polygon of six sides and six angles. Therefore, it has six vertexes. In geometry, this type of polygon is known as "Hexagon".
6 0
3 years ago
these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values
Gelneren [198K]

Answer:

Option A.

Step-by-step explanation:

We need to find a table for which the y-value will be the greatest for very large values of x.

From the given table it is clear that the largest value of x in all tables is 5.

In table A, y=64 at x=5.

In table B, y=32 at x=5.

In table C, y=40 at x=5.

In table D, y=13 at x=5.

It is clear that 64 is the greatest value among 64, 32, 40 and 13.

It means table in option A represents the function for which the y-value will be the greatest for very large values of x.

Therefore, the correct option is A.

3 0
2 years ago
Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.
Airida [17]

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is \frac{1}{2}, by comparing with the general form of slope intercept form.

\frac{1}{2} \times slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation  

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

6 0
3 years ago
Please help!! 50/25 points!!<br><br> Compute the sum
AfilCa [17]

Answer:

3577

Step-by-step explanation:

From the question given above, the following data were obtained:

7•2ᶦ

i = 0, 1, 2, .., 8

Sum =?

The sum can be obtained as follow:

7•2ᶦ

i = 0

7•2⁰ = 7 × 1 = 7

i = 1

7•2ᶦ = 7•2¹ = 7 × 2 = 14

i = 2

7•2ᶦ = 7•2² = 7 × 4 = 28

i = 3

7•2ᶦ = 7•2³ = 7 × 8 = 56

i = 4

7•2ᶦ = 7•2⁴ = 7 × 16 = 112

i = 5

7•2ᶦ = 7•2⁵ = 7 × 32 = 224

i = 6

7•2ᶦ = 7•2⁶ = 7 × 64 = 448

i = 7

7•2ᶦ = 7•2⁷ = 7 × 126 = 896

i = 8

7•2ᶦ = 7•2⁸ = 7 × 256 = 1792

Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792

Sum = 3577

4 0
2 years ago
If Y varies directly with X solve the following :
BARSIC [14]

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

a)

y = kx

k = y/x

k = 10/-30 = -1/3

So

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

b)

k = y/x

k = -19/-4.5

k = 38/9

So

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

c)

k = y/x

k = -4.3 / 12.9

k = - 1/3

So

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

5 0
2 years ago
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