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3 years ago

Find the length of AB

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Length of AB is 5.5 I believe so might be wrong sorry

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A plan traveled 324 miles each way to Austin and back. The trip there was with the wind. It took 3 hours. The trip back was into

sleet_krkn [62]

Answer: the speed of the plane in still air is 81 mph.

the speed of the wind is 27 mph.

Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

The trip there was with the wind. It means that total speed at which the plane travelled with the wind is

(x + y) mph.

It took 3 hours and the distance travelled was 324 miles.

Distance = speed × time

Distance travelled with the wind is

324 = 3(x + y)

Dividing both sides of the equation by 3, it becomes

108 = x + y-- - - - - - - - -1

The trip back was into the wind. It means that total speed at which the plane travelled into the wind is

(x - y) mph.

It took 6 hours and the distance travelled was also 324 miles.

Distance travelled into the wind is

324 = 6(x - y)

Dividing both sides of the equation by 6, it becomes

54 = x - y-- - - - - - - - -2

Adding equation 1 to equation 2, it becomes

162 = 2x

x = 162/2

x = 81

Substituting x = 81 into equation 1, it becomes

108 = 81 + y

y = 108 - 81

y = 27

6 0

3 years ago

The perimeter of a triangle is 35 feet. One side of the triangle is five feet longer than the second side. The third side is thr

Vaselesa [24]

Given:

The perimeter of the triangle = 36 feet.

Let the three sides of the triangle be x, y and z.

The measurements of the sides of the triangle are given by

$x=5+y$ and $z=3+y$

We need to determine the length of the sides.

Value of y:

Let us determine the value of y using the perimeter formula.

$Perimeter =x+y+z$

Substituting the values, we get;

$35=5+y+y+3+y$

$35=8+3y$

$27=3y$

$9=y$

Thus, the value of y is 9 feet.

Hence, the length of the second side is 9 feet.

Length of the sides:

Length of the 1st side is given by

$x=5+y$

$x=5+9$

$x=14$

Thus, the length of the first side is 14 feet.

Length of the third side is given by

$z=3+y$

$z=3+9$

$z=12$

Thus, the length of the third side is 12 feet.

Therefore, the length of the sides of the triangle are 14 feet, 9 feet and 12 feet.

6 0

3 years ago

Felipe earns 5% commission on his sales at Best Buy. One week his sales totaled $9,650. What was his commission for the week?

tensa zangetsu [6.8K]

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 9650}}{\left( \cfrac{5}{100} \right)9650}\implies 482.5$

3 0

4 years ago

PLS HELP ME !!!! The last one is (x+2)^2 + (y-1) ^2 = 12

ladessa [460]

Answer:

its the first one or the last one

Step-by-step explanation:

i got the same thing on the graph sry

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3 years ago

Find the slope of the line.

Citrus2011 [14]

Negative 1 over 3 (-1/3)

8 0

3 years ago