All categories

3 years ago

Need a little help with this problem

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

Answer:

Step-by-step explanation:

Rate (slope) of miles per gallon of gas: m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

(0, 0)

(2, 50)

$m_{carA}$ = 25 mi/gal.

(0, 0)

(3, 60)

$m_{carB}$ = 20 mi/gal.

Car B use less gasoline.

You might be interested in

For the following question, find the area of the triangle. give the answer to the nearest tenth. The drawing may not be to scale

Alina [70]

Answer:

Option A

10.5 m²

Step-by-step explanation:

The area of a triangle is half the product of its base by its height.

$A = 0.5bh$

Where b is the base and h is the height.

In this triangle b = 6.1 m.

The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.

We do not know this length. But this line h divides the triangle into two rectangular triangles.

So for these two triangles the angle that is opposite to the height h is: 47 °

Therefore we know that senx is defined as:

$senx =\frac{opposite side}{hypotenuse}$

Where:

Opposite side = h

hypotenuse = 4.7 m

x = 47

$Sin(47) = \frac{h}{4.7}\\\\h = (sin47)(4.7)\\\\h = 3.437$

Finally, the area is:

$A = 0.5(3.437)(6.1)\\\\A = 10.5m^2$

6 0

3 years ago

Read 2 more answers

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that

Alex73 [517]

Answer: 3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

8 0

3 years ago

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in

Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

$0.045+0.32+0.4\\\\=0.765\ meters.$

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0

4 years ago

Which number line represents all of the values of x for the equations x^2 =100m

statuscvo [17]

Given

$\begin{gathered} x^2=100 \\ x=10 \\ x=-10 \end{gathered}$

Procedure

3 0

1 year ago

v = 20.8x^2 - 458.3x + 3,500 represents the value of a car from 1964 to 2002. What year did the car have the least value? (x= 0

Karo-lina-s [1.5K]

See the picture for all detail, I have done it by hand.
Few important steps;
-Take the first derivative
-Put it equal to zero
-you get the x value which is equal to 11
-Now for the check that x=11 is the least value or not, take the second derivative
-As, the 2nd derivative is positive so it is the least value

As x=0 in 1964 add 11 to it so at x=11 we get 1975 so in this year car have least value

7 0

4 years ago