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il63 [147K]
3 years ago
9

A surveyor wants to find the height of a building. at a point 109.0 ft from the base of the building he sights to the top of the

building and finds the distance to be 194.0 ft. how high is the building​ (to the nearest​ tenth)?

Mathematics
1 answer:
Verdich [7]3 years ago
7 0
Draw an illustration
We could draw an illustration of the problem by drawing a right triangle.
109 ft will be the base of the triangle, 194 ft will be the hypotenuse of the triangle, and the height of the building will be the height of the triangle.
See image attached.

Solve the problem with phytagorean theorem
For an instance, h represents the height of the building. We could find the value of h by using pythagorean theorem
a² + b² = c²
a and b act as the base and the height, c acts as the hypotenuse

in this case, we could write it as below
h² + 109² = 194²

Solve the equation
h² + 109² = 194²
h² = 194² - 109²
h² = 37,636 - 11,881
h² = 25,755
h = √25,755
h = 160.4836
To the nearest tenth
h = 160.5

The building is 160.5 ft high

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Find the x- and y-intercepts of the following equation:<br> 2x+3y=-24
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Answer:

Algebra 

 Topics 

How do you find the intercepts of x2y−x2+4y=0?

Algebra  Graphs of Linear Equations and Functions  Intercepts by Substitution

2 Answers

Gió

Mar 24, 2015

For the intercepts you set alternately x=0 and y=0 in your function:

and graphically:

Answer link

Alan P.

Mar 24, 2015

On the X-axis y=0

So

x2y−x2+4y=0

becomes

x2(0)−x2+4(0)=0

→−x2=0

→x=0

On the Y-axis x=0

and the original equation

x2y−x2+4y=0

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(0)2y−(0)2+4y=0

→y=0

The only intercept for the given equation occurs at (0,0)

Answer link

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4 0
2 years ago
What is −8≥−5x+7≥-33
Anuta_ua [19.1K]
I think the answer is 3 < x < 8. Make sure to have the underlines underneath the < signs!
5 0
3 years ago
In a class of 23 student the girls were 7 more than the boys how many boys were in the class​
Softa [21]

Answer:

x=# of boys

x+7=# of girls

x+x+7=25

2x+7=25

2x=25-7

2x=18

x=18/2

x=9 boys

x+7=16 girls

 

If you don't understand variables use trial and error.

 

Boys     Girls

1           8

2           9

3           10

4           11

5           12

6           13

7           14

8           15

9           16   9+16=25 students

 

You could start this way...

 

Boys     Girls

12        13

11        14

10        15

9          16     16 is 7 more than 9

5 0
3 years ago
Factor this for me please!
Igoryamba
-28x^2y^4+36xy^4+40y^4=-4y^4(7x^2-9x-10)=-4y^4(7x^2-14x+5x-10)\\\\-4y^4\left[(7x(x-2)+5(x-2)\right]=-4y^4(x-2)(7x+5)
8 0
3 years ago
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