Answer:
48t + 60
Step-by-step explanation:
hope this helps!!
Answer:
Step-by-step explanation:
A. The front elevation of the pyramid in the direction of the arrow is herewith attached to this answer.
B. Base of the pyramid is a square of side 12 cm.
The height of the pyramid is 8 cm.
Slant height, XT, is 10 cm.
The total surface area of the pyramid can be determined by adding the surface areas that make up the shape.
Area of the triangular face =
× base × slant height
=
× 12 × 10
= 60 
Area of the square base = length × length
= 12 × 12
= 144 
Total surface area of the pyramid = area of the base + 4 (area of the triangular face)
= 144 + 4(60)
= 144 + 240
= 384 
Therefore, total surface area of the pyramid is 384
.
Factors are (y - 7)(5y - 43)
Step-by-step explanation:
- Step 1: Given, 5x² + 12x + 4 = (x + 2)(5x + 2)
Now, to factor 5(y - 9)² + 12(y - 9) + 4. Here, y - 9 can be equated to x if both equations are compared.
- Step 2: To factorize, substitute y - 9 for x in the factors (x + 2)(5x + 2)
⇒ Factors = (y - 9 + 2)[5(y - 9) + 2]
= (y - 7)(5y - 45 + 2)
= (y - 7)(5y - 43)
Heya !
In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P.
Here , one complex root is given -6i hence , the other must be 6i.
Hope it helps you ! :)
The customer will pay $3.57 for the greeting card
Explanation:
The card originally costs $4 before tax and is discounted by 15%
0.15 x 4 = 0.6
4 - 0.6 = 3.4
Then the 5% sales tax is added:
0.05 x 3.4 = 0.17
3.4 + 0.17 = 3.57