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3 years ago

A student is given the rectangle and the square shown. The student states that the two figures have the

Mathematics

1 answer:

VladimirAG [237]3 years ago

5 0

Answer:

correct

Step-by-step explanation:

The perimeter is the sum of the sides.

Rectangle ( opposite sides are congruent ), thus

perimeter = 2x + 2(x + 18) = 2x + 2x + 36 = 4x + 36

Square ( sides are congruent ), thus

perimeter = 4(x + 9) = 4x + 36

The perimeters are the same, so the student is correct

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A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an

liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

when the angle is 30 degrees

$tan(30) = \frac{6000}{d1}$

$d1 = \frac{6000}{tan(30)}$

$d1 = \frac{6000}{0.577}$

d1 = 10392.3 meters

when the angle is 60 degrees

$tan(60) = \frac{6000}{d2}$

$d2 = \frac{6000}{tan(60)}$

$d2 = \frac{6000}{1.732}\\$

d2 = 3464.1 meters

distance travelled by aircraft in 1 min is

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

Now converting to m/sec

=> $\frac{6928.2}{60}$

=>115.47 m/sec

4 0

3 years ago

Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin.

Tasya [4]

He can make 17 pies and here are the steps :)

6 0

2 years ago

dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home

Roman55 [17]

I think it would be around 7:30am

4 0

3 years ago

How many solutions does the following equation have? 10x-1=10x+4

zimovet [89]

Your answer is no solution.
Because if we transpose 10x to the left hand side with a change in the symbol, then it will become 0.
10x - 1 = 10x +4
or, 10x - 10x = 4 + 5
or, 0 = 9
Hence, the equation has no solution.

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0

2 years ago

Read 2 more answers

Jamar is four times as old as Josh. In 20 years he will be twice as old as Josh. How old is Jamar?

Juliette [100K]

Simultaneous equations
Jamar=J
Josh=j
4J=j
20+J=2j
Then
4J=j
-4 (J)=-4(2j-20)
So
0=-7j+80
7j=80
j=80÷7

5 0

3 years ago