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Ilya [14]
3 years ago
10

At a given time and place, the height of an object varies directly as the length of its shadow. If a flagpole 6 meters high cast

s a shadow 10 meters long, find the height of a building that casts a shadow 45 meters long.
Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

Height of the building that cast a shadow of 45 meters is 27 meters

Step-by-step explanation:

This is a direct variation and let height of the object represent H and shadow represent S

Hence H∝S

H = KS, where K=constant of proportionality

K = H/S

K = 6/10 = 0.6

Hence height of a building that cast a shadow of 45 meters

H = KS

H = 0.6 × 45 = 27 meters

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What type of line would the equation<br> y &lt; 7x + 8 have?<br> A dashed line or<br> A solid line?
-BARSIC- [3]

Answer:

A dashed line

Step-by-step explanation:

Because it is just a less than sign but if it was a less than or equal to it would be a solid line.

Hope That Helped :)    

5 0
2 years ago
Identify one way to rewrite the expression using the Distributive Property. 2(9 + 3) A. (2 × 9) − (2 × 3) B. (2 × 9) + (9 × 3) C
Dmitry_Shevchenko [17]
The answer is D.

Because you want to find the rewrite way of distributive right? 2(9+3)

Therefore it’s (2x9) + (2x3)
3 0
3 years ago
Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se
Zepler [3.9K]
<h3>Given</h3>

Two positive numbers x and y such that xy = 192

<h3>Find</h3>

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

6 0
3 years ago
Which one doesn’t belong??
Iteru [2.4K]

Answer:

40% OR -1/4

Step-by-step explanation:

It could be 40% as all the other numbers are in fraction form while this one is written as a percent.

It could also be -1/4 because that is the only negative number.

7 0
3 years ago
Read 2 more answers
How do you determine where to place the decimal point in the product?
frez [133]

Let's look at an example:

2.24 x 21.6

2.24\\ 21.6\\ ______

Do normal multiplication and get

48384   This is not correct, until we put the decimals in. To know how to do this, count the number of decimal spaces from the factors. In 2.24, there are 2, because .24. In 21.6 there are 1 because of .6. This mean three places, so 48384 becomes

48.384

~theLocoCoco

7 0
3 years ago
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