Answer:
72°
Step-by-step explanation:
The lengths 25 cm and 8 cm are the sides of the rectangle.
See the attached diagram of rectangle ABCD.
Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°
So, using trigonometry we can write
⇒ 
degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)
Answer:
Rita paid 47,500 dollars for the purchase price.
Step-by-step explanation:
We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that
when you multiply it to the sales tax you get the purchase price.
Let's set this equation:
y=kx
Let y represent the purchase price and x the sales tax.
The second sentence tells us that (x,y)=(1500,30000).
We can plug this into y=kx to find the constant k. (Constant means it stays the same no matter what the input and output is).
So we have:
30000=k(1500)
300 =k(15) I went ahead and divided previous equation by 100.
Now divide both sides by 15:
300/15=k
Simplify:
20=k
So the equation to use the answer the question is
y=20x
where y is purchase price and x is sales tax.
So we want to know the purchase price on a car if the sales tax is 2375.
So replace x with 2375:
y=20(2375)
y=47500
The expression 1x² + 14x + 40 is a quadratic expression, and the answers in the yellow boxes are 40 and 14
<h3>How to complete the boxes?</h3>
The quadratic expression is given as:
1x² + 14x + 40
This implies that:
a = 1
b = 14
c = 40
Because a quadratic expression is represented as:
ax² + bx + c
The expressions in the yellow boxes are:
a * c and b
So, we have:
a * c = 1 * 40 = 40
b = 14
Hence, the answers in the yellow boxes are 40 and 14
Read more about quadratic expressions at:
brainly.com/question/18797214
#SPJ1
40 inches because a rectangle has 2 sets of parallel lines and if the width and length are 10 then you just have to add up all the sides.
Answer and Step-by-step explanation
2, -4, 6, -8, 10, -12, 14, -16
These are the next three numbers in the pattern :-12, 14, -16
