The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?

Answer:

89.44m

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

This is given as:

Hypotenuse² = Opposite ² + Adjacent ²

Hypotenuse = Length of the guy wire = 120m

Adjacent = Distance from the base of the tower = 80m

Opposite = Height of the building = x

Hence:

120² = x² + 80²

Collect like terms

x² = 120² - 80²

x = √120² - 80²

x = √(8000)

x = 89.4427191 m

Approximately the height of the tower is = 89.44m

6 0

3 years ago

Choose all that correctly solve for x.

Tamiku [17]

Answer:

Options: A, B, and C correctly solve for x.

Step-by-step explanation:

A).

$\frac{5}{2} x$ = $\frac{15}{2}$

Multiplying both sides by 2 gives;

5x = 15

x = 15 ÷ 5 = 3

∴ This option correctly solve for x.

B).

x + $\frac{7}{2}$ = 7

x = 7 - $\frac{7}{2}$ = $\frac{14}{2} -\frac{7}{2} = \frac{7}{2}$

∴ This option correctly solve for x.

C).

x + 3 = $\frac{21}{5}$

x = $\frac{21}{5} - \frac{15}{5} = \frac{6}{5}$

But the option give x as 5/6 hence this option does not correctly solve for x.

D).

5x = 11/2

x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10

But the option gives x as 10/11 so it does not correctly solve for x.

8 0

3 years ago

The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3

klasskru [66]

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

5 0

3 years ago

Read 2 more answers

Question 9 of 15 (1 point)

mote1985 [20]

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

$4x+10 = x-17$

Subtracting 10 from both sides

$4x+10-10 = x-17-10\\4x = x-27$

Subtracting x from both sides

$4x-x = x-x-27\\3x = -27$

Dividing both sides by 3

$\frac{3x}{3} = \frac{-27}{3}\\ x = -9$

Verification:

$4(-9)+10 = -9-17\\-36+10=-26\\-26=-26$

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

#learnwithBrainly

7 0

3 years ago