Answer:
- -x - 3 < 13 + 3x
<u> +3 +3</u>
-x < 16 + 3x
<u>-3x - 3x</u>
-<u>4x</u> < <u>16</u>
-4 -4
x > -4
2. -4x - 3 <13
<u> +3</u><u> </u><u> </u><u> </u><u>+3</u>
-<u>4</u><u>x</u> < <u>16</u>
-4 -4
x > -4
3. 2x - 3 < 13
2x -3+3 < 13+3
<u> 2x</u> < <u>16</u>
2 2
x < 8
4. -4x - 3 > 13
-4x -3+3 > 13+3
-<u>4x</u> > <u>16</u>
-4 -4
x < -4
5. 2x - 3 > 13
2x -3+3 > 13+3
<u>2x</u> > <u>16</u>
2 2
x > 8
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Answer:
28
Step-by-step explanation:
Since the triangle is a right triangle, we can use SOH CAH TOA to find ?. 10 is OPPOSITE to ? and 21 is HYPOTENUSE to ?, so we can use SIN to find ?.
SIN(?) = 10/21
? = ARCSIN(10/21)
? = 28.437
Answer:
The student's current average score will be 69.2
Step-by-step explanation:
Let first test be TEST A: which is 20 of total and secures 62
Let second test be TEST B: which is 20 of the total marks and has secured 83.
Let third test be TEST C: which is 20 of total and has secured 91.
And now the TEST D which is 25 of total and has secured 88.
Therefore, by multipying across
= 12.4
= 16.6
= 18.2
=22
Now, by adding the scores to get the average score
We get, 69.2.
First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
pH = -log[H+]