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mojhsa [17]
3 years ago
11

The length of a shadow of a building is 28m. The distance from the top of the building to the shadow is 38m. Find the height of

the building
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0
It appears that the Pythagorean theorem can be applied to this problem
  (distance to shadow)² = (height of building)² + (length of shadow)²
  (38 m)² = (height of building)² + (28 m)²
  660 m² = (height of building)²
Then the height of the building is
  height of building = √660 m ≈ 25.7 m
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A piggy bank is full of dimes and quarters. The total
Talja [164]

She has  27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

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brainly.com/question/10413253

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3 0
1 year ago
Please answer this correctly without making mistakes
marysya [2.9K]

Answer:

A digit that makes this sentence true is 4.

Step-by-step explanation:

Since the first digit in the number to the left is 3, you simply have to find a digit greater than 3. Here are the possibilities:

4

5

6

7

8

and

9

Out of any of these you can choose, I chose 4.

4 0
3 years ago
A small company manufacturers a certain item and sells it online. The company has business model where the cost C, in dollars, t
Mars2501 [29]

Answer:

Step-by-step explanation:

We know that the break even point is the point where the cost and the revenue equations intersect.  So the break even point in this situation is:

C= R

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<=> 10x^{2} -50x -20 = 0

<=> x ≈ 5

If the company sells more than 5 items, it will have benefit

If the company sells less than 5 items, it will lose

8 0
3 years ago
When three points lie on the same line
anyanavicka [17]
When three points are on the same line it’s collinear,. we’re in the same class LOL
3 0
3 years ago
What is the solution to the system of equations below? y= -3/4 x + 3 and y = –12 (20, –12) (12, –12) (–6, –12) (–12, 12)
qaws [65]

Answer:

the correct answer is (20,-12)

Step-by-step explanation:

6 0
3 years ago
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