Determine the slope of the line represented by y=5x-7 ?
1 answer:
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Answer:
Option 2:
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,
Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,
Therefore, the value of sine of 30° is one-half. So, second option is correct.
Answer:
The fraction of total interest owed is
The value of it to the nearest tenth is 73.1%
Step-by-step explanation:
Let us solve it using the rule of 78
∵ The loan = 12 month
∵ The numerator is after 6 month
- Substitute n by 1 in each bracket
∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}
∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}
∴ The numerator = {57}
∴ The numerator of the fraction is 57
∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}
- substitute n by 1 in each bracket
∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}
∴ The denominator = {78}
∴ The denominator of the fraction is 78
The fraction of total interest owed is
Now find the value of the fraction
∵ The fraction =
∴ Its value = 0.7307692308 × 100%
∴ Its value = 73.07692308%
- Round it to the nearest tenth
∴ Its value = 73.1%
The value of it to the nearest tenth is 73.1%
Answer:
see explanation
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 30, x = 6
k = =
= 5
y = 5x ← equation of proportionality
When x = 12, then
y = 5 × 12 = 60