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Mars2501 [29]
2 years ago
15

Show that angle a is equal to 90 degree​

Mathematics
1 answer:
emmasim [6.3K]2 years ago
6 0
Angle a is a right angle and all right angles equal 90°
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The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find
Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x


2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058


 height is 14 cm

5 0
3 years ago
A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle?
dimulka [17.4K]

Answer:

C

Step-by-step explanation:

From the given coordinates

A(6, 0), B(0, 0) then AB = 6 - 0 = 6

B(0, 0), C(0, 8) then BC = 8 - 0 = 8

To calculate AC use Pythagoras' theorem on the right triangle formed

AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100

Take the square root of both sides, hence

AC = \sqrt{100} = 10

Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C

5 0
3 years ago
Is 10 m, 20 m, 25 m a right triangle
Softa [21]

Answer:

Step-by-step explanation:

So you put them together (10 m, 20 m, and 25 m) then you see if it makes a triangle.

but the answer is no it doesnt

7 0
2 years ago
Read 2 more answers
What were the<br>prominent primary, secondary and tertiary effects the disaster brought?​
Aleonysh [2.5K]
Primary effects are the direct result of the natural disaster, such as collapsed buildings and water damage. Secondary effects are the result of primary effects. ... Tertiary effects are the long term effects of natural disasters.
7 0
3 years ago
Rania solves the equation below by first squaring both sides of the equation.
Anuta_ua [19.1K]

Answer:

The extraneous solution is 4.

Step-by-step explanation:

First, let us calculate the value of 'x' without squaring both side of the expression. This is illustrated below:

-5 = 3x - 7

Collect like terms

-5 + 7 = 3x

2 = 3x

Divide both side by 3

x = 2/3.

Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:

(-5)^2 = (3x - 7)^2

25 = (3x - 7)(3x - 7)

25 = 9x^2 - 21x - 21x + 49

9x^2 - 42x + 49 - 25 = 0

9x^2 - 42x + 24 = 0

Solving by factorisation:

Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.

Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x

Now we can write the above equation as:

9x^2 - 42x + 24 = 0

9x^2 - 6x - 36x + 24 = 0

3x(3x - 2) - 12(3x - 2) = 0

(3x - 12)(3x - 2) = 0

3x - 12 = 0 or 3x - 2 = 0

3x = 12 or 3x = 2

x = 12/3 or x = 2/3

x = 4 or 2/3.

We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.

Therefore, the extraneous solution to the question is 4.

6 0
3 years ago
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