Answer:
Remainder is 44.
Step-by-step explanation:
Remainder theorem says that if f(x) is divided by the linear polynomial (x-a) , then remainder is f(a)
In given question , f(x) = x³ + 5x² -7x
linear polynomial is (x+4) = (x - (-4) )
so from remainder theorem , remainder = f(-4) = (-4)³ + 5 ( -4)² - 7(-4)
= -64 + 80+28=44
Hence Remainder is 44.
Answer:
100%_$40.80
? × _$38.76
Step-by-step explanation:
100%×$38.76÷$40.80=95%
Answer:
Final price would be $35.19.... discount is $8.80.
Soulution:
Replacing the given values in formula (a) we have:
Amount Saved = Original Price x Discount in Percent / 100. So,
Amount Saved = 43.99 x 20 / 100
Amount Saved = 879.8 / 100
Amount Saved = $8.8 (answer).
In other words, a 20% discount for a item with original price of $43.99 is equal to $8.798 (Amount Saved)
Answer:
The area of circle with radius half of original circle is 7 π cm² .
Step-by-step explanation:
Given as :
The Area of original circle = 28 π square centimeter
Let The radius of original circle = R
Let The area of circle with radius half of original circle = A square centimeters
Let The radius of circle with radius half of original circle = R'
Now, According to question
∵ Area of original circle = π × radius²
So, 28 π cm² = π × R²
Or, R² = 
Or, R² = 28 cm²
∴ R =
cm
i.e R = 2
cm
So, The radius of original circle = R = 2
cm
<u>Again</u>
∵ The radius of circle with radius half of original circle = R'
So, R' = 
i.e R' = 
∴ R' =
cm
So, The area of circle with radius half of original circle = π × R'²
i.e A = π × R'²
Or, A = π ×(
) ²
or, A = π × 7
So, The area of circle with radius half of original circle = 7 π cm²
Hence The area of circle with radius half of original circle is 7 π cm² . Answer