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3 years ago

Please help asap, its due in 20min

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Answer:

The scalar factor is 4/3

Step-by-step explanation:

The bottom of triangle B is 16 units, the bottom of triangle A is 12 units. So to find the scalar factor you have to divide B by A:

6/12=4/3

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Being 10 miles apart, two cars started moving towards each other. After one hour they met, and during that time the first car co

Vladimir [108]

The speed of the first car was 6 miles/hour

<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 )</em>

<em>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!

<u>Given:</u>

Distance between two cars = d = 10 miles

Time Taken = t = 1 hour

Distance covered by the first car = d₁ = 2 + d₂

<u>Unknown:</u>

Speed of the first car = v₁ = ?

<u>Solution:</u>

$d = d_1 + d_2$

$10 = ( 2 + d_2 ) + d_2$

$10 = 2 + 2d_2$

$10 - 2 = 2 d_2$

$8 = 2 d_2$

$d_2 = 8 \div 2$

$d_2 = 4 \texttt{ miles}$

$\texttt{ }$

$d_1 = 2 + d_2 = 2 + 4 = 6 \texttt{ miles}$

$v_1 = d_1 \div t = 6 \div 1 = 6 \texttt{ miles/hour}$

<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: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

7 0

3 years ago

Read 2 more answers

The temperature at 6 pm was 0f. At 10 pm the temperature was -11.2f. Write an expression that you can use to find the average ch

Mariana [72]

Answer:

Average change in temperature is - 2.8 Fahrenheit per hour.

Step-by-step explanation:

Average change in temperature is the change in temperature divided by the time taken for the change.

Change in temperature = (-11.2) F- 0 F

= -11.2 F

Time taken for the change in temperature = 10 pm - 6 pm

= 4 hours

Average change in temperature = Change in temperature / time taken for the change

= $\frac{-11.2}{4}$

= - 2.8 Fahrenheit per hour

3 0

4 years ago

Does anyone know the answer?

Hitman42 [59]

Answer:

Step-by-step explanation:

6x5 is 30

3 0

3 years ago

Read 2 more answers

The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k

barxatty [35]

15 I’m pretty sure but I don’t know

3 0

3 years ago

The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to fi

myrzilka [38]

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.

8 0

3 years ago