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Lemur [1.5K]
2 years ago
7

The roof of a house seen from the front is an isosceles triangle \Delta ABC ΔABC with base 14.5 m and sides of length 8.5 m. Fin

d how high above line [BC] the vertex A is​

Mathematics
1 answer:
melamori03 [73]2 years ago
7 0

Answer:

4.4 m

Step-by-step explanation:

Draw the height of the triangle (perpendicular line from point A to line BC).  Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.

Use Pythagorean theorem to find the height.

c² = a² + b²

(8.5 m)² = (14.5/2 m)² + h²

h ≈ 4.4 m

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i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me
EleoNora [17]

Answer:

I do not know the answer of 6 and 7

5 0
2 years ago
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Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year
emmasim [6.3K]
                          Jenna's age                   Jessica's age

today                         x                               x + 5


in 5 years                 x+5 

5 years ago                                                   x + 5 - 5


Equality                  x + 5 = x + 5 - 5

=> x + 5 = x


The equation is x + 5 = x


That equation has not any solution, because it reduces to 5 = 0, which is an absurd.


So, the conclusion is that information given by Jenna is wrong.


It is logical: if the difference of the ages is 5, in five years Jenna will have 10 years more than what her sister had 5 years ago, no 5 as she told Jessica.
5 0
2 years ago
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Pablo and Nadia are playing a game on a coordinate grid. Pablo puts a playing piece at point (-2, 3) and Nadia puts a playing pi
7nadin3 [17]

Answer:

The distance between the two playing pieces is of 6.4 units.

Step-by-step explanation:

Suppose we have two points:

A = (x_{1}, y_{1})

B = (x_{2}, y_{2})

The distance between these points is:

D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

Distance between:

A(-2,3) and B(3,-1)

D = \sqrt{(3 - (-2))^{2} + (-1 - 3)^{2}} = \sqrt{41} = 6.4

The distance between the two playing pieces is of 6.4 units.

5 0
2 years ago
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
Thepotemich [5.8K]
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Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel. 

Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular. 

Use the distance formula to find the length of the sides, and then multiply two of the side lengths.</span>
4 0
2 years ago
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The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly emp
MrRa [10]

Given:

  • The table of typical hours worked by employees at a company
  • salaried employee makes $78,000 per year
  • hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.

To Find: Which payment option to recommend to a new employee.

Solution: I would recommend being a salaried employee.

Explanation:

We begin by calculating the typical number of hours worked per week.

Adding up the hours from the table, we have 0+8+8.5+9.5+10+8+3=47.

The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.

So, the payment for 47 hours of work per week will be (26)(40) + (39)(7) = 1313 dollars.

As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be (1313)(52) = 68276. That is, an hourly employee would earn $68276.

On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.

Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.


6 0
2 years ago
Read 2 more answers
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