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Marizza181 [45]
3 years ago
14

Help please! Find the perimeter and area of figure 1

Mathematics
1 answer:
Nady [450]3 years ago
6 0

Figure 1,

When 1 unit = 1 cm

Perimeter = Boundary of the figure

                = 3+3+6

                = 12 cm

Area of one square = side * side

                                    = 1*1

No. of squares in the figure = 6 squares

Area = Space occupied inside the figure

        = 6 cm^2

Hope it helped :)

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A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

3 0
3 years ago
Christopher started mowing yards with his uncle to earn money for back to school clothes. He had $55.32 in his savings account,
EastWind [94]

Answer:

$123.59

Step-by-step explanation:$178.91 - $55.32 = $123.59

8 0
3 years ago
Read 2 more answers
PLEASE help! 5. Given that side A and side E are of equal length, find a positive value for x. Show all work.
andrew11 [14]
3x²-11=x+13
3x²-x-24=0
(3x+8)(x-3)=0
x=3 or -8/3
☺☺☺☺

4 0
3 years ago
Graph the function y=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-2-5" id="TexFormula1" title="\sqrt{x} -2-5" alt="\sqrt{
Rashid [163]

Answer:

(3, -4)

Step-by-step explanation:

The correct equation is:

y=\sqrt{x-2}-5

From the list of given points, we have to identify which point lies on the graph. This can be done by using the value of x-coordinates from the given points and see if they result in the corresponding y-coordinate:

For point (1, 4)

y=\sqrt{1-2}-5=\sqrt{-1}-5, This is not equal to 4, so it does not lie on the graph of given function.

For point (3, -4)

y=\sqrt{3-2}-5=\sqrt{1}-5=-4, The answer ans corresponding y-coordinate are the same. This means, (3, -4) point lies on the graph of given function.

Likewise, checking for 3rd and 4th point we find out that they do not lie on the graph.

So the correct answer is (3, -4)

5 0
3 years ago
Salvatore attends class every 4 weeks, chess club every 2 weeks, and fencing lessons every 3 weeks. If he attended all three thi
Amiraneli [1.4K]

Answer:

12

Step-by-step explanation:

Listing the weeks he will attend each item

Class  4,8,12,16

Chess 2,4,6,8,10,12

Fencing 3,6,9,12

Starting today at week 0, he will attend all 3 again at week 12

6 0
3 years ago
Read 2 more answers
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