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Elan Coil [88]
3 years ago
9

I need help getting the answer for the 1st question

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:

base 1 /height 1=base 2 /height 2

Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x

We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m

Answer. the heigth of the tower will 40 m

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Solve the equation using the Zero­Product Property. 6x(3x + 1) = 0
neonofarm [45]
   
\displaystyle  \\ 
6x(3x + 1) = 0 \\  \\ 
\Longrightarrow ~~ 6x = 0~~\texttt{or}~~3x+1=0 \\  \\ 
6x = 0 ~~\Longrightarrow ~~ x_1 =  \frac{0}{6} = \boxed{0} \\  \\ 
3x+1 = 0 ~~\Longrightarrow ~~ 3x = -1  ~~\Longrightarrow ~~ x_2 =  \frac{-1}{3} = \boxed{-\frac{1}{3}} \\  \\



4 0
3 years ago
LAN mailed a package that weighed 5.63 pounds . what is the first step in rounding this number to the nearest tenth? what is the
ankoles [38]

For this case we must follow the following rules of rounding

1) If the previous number is greater than or equal to five, then the next number increases by one unit

2) If the previous number is less than five, then the next number stays the same

Therefore, the steps for rounding to the nearest tenth is:

1) We observe that 3 is less than 5.

2) Therefore, the next number stays the same

Rounding to the nearest tenth is:

5.6

Answer:

1) We observe that 3 is less than 5.

2) Therefore, the next number stays the same

5.6

7 0
3 years ago
The sum of two consecutive even integers is -134 . What are the two numbers?
Mamont248 [21]
2x + 2x+2 = -134
4x + 2 = -134
4x = -136 |: 4
x = -34

2x = 2 * (-34) = -68
2x + 2 = -68 + 2 = -66

This numbers are -66 and -68.
7 0
3 years ago
Read 2 more answers
Find the y-intercept and the slope of the line<br><br> y=-x+7<br><br> y-intercept:<br> slope:
Ipatiy [6.2K]

Answer:

The y-intercept would be 7

The slope would be -1 or -1/1. They are both the same thing.

The slope is the number which is located directly to the left of the variable (the variable in this case is x, but in other situations it could be a totally different letter).

5 0
3 years ago
3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha
agasfer [191]

Answer:

$160 hourly rate

Step-by-step explanation:

20 x 5 = 100

900 - 100 = 800

800 ÷ 5 = 160

To check: Multiply 160 by 5 and then add 100

3 0
2 years ago
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