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IRISSAK [1]
3 years ago
9

Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Mathematics
1 answer:
Tresset [83]3 years ago
6 0
Plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)
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An ipad is worth R1200, excluding 15% VAT. What is the selling price of the ipad including VAT
alukav5142 [94]

Answer:

R1,380

Step-by-step explanation:

The price of the iPad without VAT is R1200

We calculate 15% to get;

=  \frac{15}{100}  \times 1200

= 180

Now the selling price of the iPad including VAT

1200 + 180

= 1380

Therefore, the selling price of the ipad including VAT is R1380

7 0
3 years ago
If x2 = 30, what is the value of x?<br> A. ±60 B. ±15 C. ±square root of 30 D.±square root of 15
anygoal [31]

Answer:

  C.  ±square root of 30

Step-by-step explanation:

Apply the square root function to both sides of the equation:

  \sqrt{x^2}=\sqrt{30}\\\\|x|=\sqrt{30}\\\\x=\pm\sqrt{30}

_____

The absolute value equation has two solutions. They match choice C.

6 0
3 years ago
A segment XD is drawn in rectangle QUAD as shown
grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

<em>A segment XD is drawn in rectangle QUAD as shown  below. </em>

<em>What are the measures of ∠XDQ and ∠UXD ? </em>

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> <em>∠UXD = </em>180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

5 0
3 years ago
Cone W has a radius of 8 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel
sergij07 [2.7K]

This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel

Kindly find attached the appropriate attachment necessary to solve this question.

The attachment was sourced online

Answer:

a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X

Step-by-step explanation:

From the above question, we are given two shapes: Cone W and Square Pyramid

Cone W: Radius = 8cm, Height = 5cm

Volume of a Cone = 1/3 πr²h

Where π = 3.14

Volume of Cone X = 1/3 × 3.14 × 8² × 5

= 334.93cm³

For Square pyramid X

Volume = 1/3 × Base Area × Height

Base Area of Cone W = Base Area of square pyramid X = πr²

Where π = 3.14

Base area = 3.14 × 8² = 200.96cm²

Height of Square pyramid X = Height of Cone W = 5cm

Volume of Square pyramid = 1/3 ×200.96cm² × 5cm

= 334.93cm³

Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.

The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height

This was the formula Paul used.

Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.

Option a, is the correct answer.

4 0
3 years ago
How many times larger is 4 x 1013 than 4 x 106? A 1 x 106 B) 1 x 107 C) 4 x 106 D) 4 x 107
Mice21 [21]
The answer to your question is A.
5 0
3 years ago
Read 2 more answers
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