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djverab [1.8K]
3 years ago
12

One of the tents you look at has a base measuring 3 metres long and 250 centimetres wide.

Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

7.50\ m^2

Step-by-step explanation:

The area of the rectangle can be calculated using formula

A_{rectangle}=\text{length}\cdot \text{width}.

Since the tent has a base measuring 3 metres long and 250 centimetres wide, then the length is 3 m and the width is 2 m 50 cm or 2.50 m.

Thus, the area is

A_{tent}=3\cdot 2.50=7.50\ m^2.

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The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also
Pie

Answer:

<u>150</u>

Step-by-step explanation:

So I will shorten Eric, and Bob's names as E, and B.

So the equations are this

B-E = B+E - 240, E as Eric, and B as Bob, and this E+B=9(E-B)

Move the variables and you get

-2E =- 240

Just divide them both by -2

and E=120

So when we know the value of E we can just plug it into the 1st question

120+B=9B+1080

Moves the Variables and numbers to the other side

8B=1200

1200/8= 150

B=150

There is Bob's weight

6 0
2 years ago
Find the solutions x^2=27
g100num [7]
The answer is 5.196152423

Since - x^2=27
X=square root of 27
=5.196152423
4 0
3 years ago
Find the measure of each missing angle.
nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \sf \boxed{\bf  \angle 1     = 52^ \°}

AB // CD and AC is transversal.

 \sf \boxed{\bf  \angle 3 = 38^\circ}   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \sf \boxed{\bf  \angle 2 = 79^ \°}

5 0
2 years ago
20. What is the greatest prime factor of 3^7+6^6 ?
mario62 [17]

Answer:

67

Step-by-step explanation:

3^7 = 2187

6^6 = 46656

46656+2187=48843

Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67

Factor tree:

48843

| \  

16281   3

| \  

5427   3

| \  

1809   3

| \  

603   3

| \  

201   3

| \  

67   3

3 0
2 years ago
Pls help me on this question :-
Nastasia [14]

Answer:

We conclude that the rule for the table in terms of x and y is:

  • y = 3x+2

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

  • (-2, -4)
  • (-1, -1)

Finding the slope between (-2, -4) and (-1, -1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)

m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}

m=3

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

  • y = 3x+2
7 0
3 years ago
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