All categories

3 years ago

a metal mast is stabilized with 3 guy wires. Find the slope of one of the guy wires if d = 100 ft and h= 70ft

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer:

The slope of one of the guy wires is m=0.7

Step-by-step explanation:

we know that

The slope of one of the guy wire is equal to divide the vertical distance of the guy wire by the horizontal distance of the guy wire

we have

$d=100\ ft$ ----> horizontal distance

$h=70\ ft$ ----> vertical distance

$m=\frac{h}{d}$

substitute the given values

$m=\frac{70}{100}=0.7$

You might be interested in

Write an expression for "8 times z."

garri49 [273]

Answer: 8z 8(z)

Explanation: well 8 times z is simply 8(z)I don’t really think there is another way

5 0

2 years ago

Stardust the unicorn, covered a distance of 50 miles on his first trip to the forest. On a later trip he travelled 300 miles whi

jok3333 [9.3K]

His new time compared with the old time was increased by factor of 2

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration (m / s²)v = final velocity (m / s)</em>

<em>u = initial velocity (m / s)</em>

<em>t = time taken (s)</em>

<em>d = distance (m)</em>

Let us now tackle the problem!

This problem is about Kinematics.

In this problem we assume that the unicorn is moving at a constant speed so that the acceleration is zero.

<u>Given:</u>

first distance = d₁ = 50 miles

second distance = d₂ = 300 miles

v₂ = 3 v₁

<u>Unknown:</u>

t₂ : t₁ = ?

<u>Solution:</u>

To find his new time , we will use the following formula.

$v_2 = 3 v_1$

$\frac{d_2}{t_2} = 3 \times \frac{d_1}{t_1}$

$\frac{300}{t_2} = 3 \times \frac{50}{t_1}$

$\frac{300}{t_2} = \frac{150}{t_1}$

$t_2 = \frac{300}{150} \times t_1$

$\large {\boxed {t_2 = 2 \times t_1} }$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437

Kinetic Energy : brainly.com/question/692781

Acceleration : brainly.com/question/2283922

The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Sperm , Whale , Travel

8 0

3 years ago

a car travels along a straight road to the east for 150 meters in 4 seconds and west for 50 meters in one second

makvit [3.9K]

a car travels along a straight road to the east for 150 meters in 4 seconds and west for 50 meters in one second

4 0

2 years ago

I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!

Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80 (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0 (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0

2 years ago

Read 2 more answers

Evidence of a chemical reaction includes anything that shows -

puteri [66]

Answer:

a change in the state of matter

Step-by-step explanation:

6 0

3 years ago