Answer:
The purchase price is $180
The total price is: $189
Step-by-step explanation:
Sales tax rate = 5\%
Sales tax on bike = $9
We need to find the purchase price.
Let purchase price = x
We know that Sales tax = 5% of x
and Total price = Purchase Price + Sales tax
So, we can write:
Sales tax = 5% of x
Putting values and finding x
So, the value of x i.e Purchase price = $180
The purchase price is $180
Now finding the total price of bicycle
Total price = Purchase Price + Sales tax
Total price = 180 + 9
Total price = $189
So, The total price is: $189
If
, then angle
is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since <span>angle
is opposite the side of length a</span> you can conclude that a>c and a>b.
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = 
cosθ = 
cos(30°) = 
= 
= 
sin(30°) = 
= 
= 
cos(60°) =
=
=
sin(60°) = =
=
=
Options (1), (2), (3) and (4) are the correct options.
Answer:
The two numbers are 64 and 8.
Step-by-step explanation:
You meant "quotient" of two numbers, right?
Represent the numbers by x and y.
Then the quotient is x/y = 8, and beyond that we know that x + y = 72.
Solve this for x and y.
If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:
(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.
Since x/y = 8, letting y = 8 results in x = 64.
The two numbers are 64 and 8.
Answer:
44° and 46°
Step-by-step explanation:
Complementary angles sum to 90° , thus
x + x + 2 = 90
2x + 2 = 90 ( subtract 2 from both sides )
2x = 88 ( divide both sides by 2 )
x = 44
Thus the 2 angles are 44° and 44 + 2 = 46°
