The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

7 0

2 years ago

Terry has just purchased a new car, which had a list price of $16,825. She had to pay 7.19% sales tax, a $1,128 vehicle registra

Anarel [89]

Total cost of purchasing the car = $16,825 + 0.0719 x $16,825 + $1,128 + $190 = $19,352.72
Value of her previous car = 0.9 x $16,825 = $15,142.50

Amount being owed by Terry = $19,352.72 - $15,142.50 = $4,210.22

The present value of annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t)
where P is the monthly payment, r is the rate = 10.59% = 0.1059, t is the number of periods in a year = 12, n is the number of years.

4,210.22 = P(1 - (1 + 0.1059/12)^-(5 x 12)) / (0.1059/12)
0.1059(4,210.22) = 12P(1 - (1.008825)^-60)
P = 445.862298 / 4.916774288 = 90.68

Amount of interest paid = 60(90.68) - 4,210.22 = 5440.80 - 4210.22 = $1230.58

7 0

2 years ago

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Aldo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Aldo drove h

Aneli [31]

8x = 5(x+21)
8x = 5x +105
3x = 105
x = 105 /3
x = 35

8 x 35 = 280 miles away

7 0

2 years ago

A square is inscribed in a circle as shown. If the radius of the circle is 9, what is the area of the shaded region, rounded to

djyliett [7]

Answer:

Area of shaded region is:

A = 92.41

Step-by-step explanation:

(As the diagram is not shown, consider the diagram attached below.)

r = 9

Diagonal of the square = 2r = 18

As all angles of square are of 90°

The diagonal is dividing the angles into 2 halves of 45° at point where diagonal is joining the corner.

Taking sine:

$sin\theta=\frac{perpendicular}{hypotenuse}\\perpendicular = s\\hypotenuse = 2r = 18\\\theta = 45^\circ\\Substitute:\\sin45=\frac{s}{18}\\sin45\cdot18=s\\s=12.73$

<h3>Area of Circle:</h3>

$A=\pi{r}^2\\A=\pi{9}^2\\A=254.34$

<h3>Area of Square:</h3><h3> $Area = s\cdot{s}\\Area=12.73\cdot12.73\\Area = 161.93$ </h3><h3>Area of Shaded Region:</h3>

Area of circle - Area of square

$A = 254.34-161.93\\A=92.41$

3 0

2 years ago

Write an equation of the line passing through the points ​(​4,8​) and ​(​-1,-12​).

Write an equation of the line passing through the points (4,8) and (-1,-12).