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tester [92]
3 years ago
12

The shadow of a building is 40 ft. long. The angle between the ground and the line to the sun is 35°. Draw a diagram and find th

e height of the building. 22.9 ft. 28.0 ft. 57.1 ft.

Mathematics
2 answers:
grigory [225]3 years ago
7 0
tan35^o =  \frac{BC}{AB} \ \ \to \ \ BC=AB*tan35^o= 40*0.7002 \approx 28.0 \ \text{ft}

pogonyaev3 years ago
7 0

Answer:

28

Step-by-step explanation:

You might be interested in
a side of an equilateral triangle is 2/8cm long. Draw a picture that's shows the triangle. What is the perimeter of the triangle
Tom [10]
If the triangle is equilateral it means all the sides are the same length. 

A triangle has three sides. if each side is 2/8cm then the total perimeter if 3*2/8 = 6/8 = 3/4
5 0
2 years ago
Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6 <br> -3x+5y=10
allochka39001 [22]

Answer:

<h3>x = (-2)</h3><h3>y = 2</h3>

Step-by-step explanation:

2x + 3y = 6________( 1 )

-3x + 5y = 10_______( 2 )

( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )

( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )

(4)  +  (3) \\ 6x + 9y  +  ( - 6x + 10y) = 20 - 18 \\ 6x + 9y  -  6x - 10y = 2 \\ y = 2

y = 2 ,

2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x =  - 4 \\x =  \frac{ - 4}{2}  \\ x = ( - 2) \\

6 0
2 years ago
What is 25 divided 34
Minchanka [31]

Answer:

0.74

Step-by-step explanation:

5 0
2 years ago
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
vfiekz [6]

Answer:

y=\frac{1}{2}x-5

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

x-2y=6

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

x-2y-x=6-x\\-2y=-x+6

Divide both sides by -2

y=\frac{1}{2} x-3

Now, we can identify clearly that the slope of the given line is \frac{1}{2} since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of \frac{1}{2} as well. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in the given point (-6,-8)

-8=\frac{1}{2}(-6)+b\\-8=-3+b

Add 3 to both sides to isolate b

-8+3=-3+b+3\\-5=b

Therefore, the y-intercept is -5. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x-5

I hope this helps!

7 0
3 years ago
Solve the system of equation below x+y+z=2 x-y+5z=6
mamaluj [8]
X + y + z = 2
x - y + 5z = 6

cancelando +y com -y:

x + z = 2*(-5)
x + 5z = 6

-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
4x = 4
x = 4/4
x = 1

x + z = 2
1 + z = 2
z = 2 - 1
z = 1

x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0 

S: {x, y, z} = {1, 0, 1}


8 0
3 years ago
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