Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is
. A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is 
.
The lateral surface area of the triangular pyramid is
cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared
Answer:
False
Step-by-step explanation:
Since -40+11 does not equal -1, it is False.
So, your answer is "false"
Answer:
x = 6
Step-by-step explanation:
Given:
log₆(x) = 1
Now,
From the properties of log
logₓ (z)= 
(where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
therefore,
the given equation can be deduced as:
log₆(x) = 1
into,
x = 6¹
or
x = 6
Answer:
His estimate is somewhat low.
Step-by-step explanation:
The total bill is $9.50 +3.50 = $13.00. The estimated tip is 15% of $10, so Jamal needs to add 15% of $3, or $0.45, to his estimate to leave a tip equal to 15% of the bill.
The tip Jamal has calculated is about 11.5% of the bill. (1.50/13.00 ≈ 0.1154)
The tip Jamal wants to leave is $1.95. (0.15·13.00 = 1.95)
Joe has earned $702 in total
To work through this problem, we can first calculate how much money Joe earned at regular pay:
40 (number of hours) x 13.5 (pay rate) = 540 (in dollars)
Now, before we figure out how much he earned working overtime, we must calculate his overtime pay rate (time and a half). We do this by multiplying his normal pay rate by 1.5:
13.5 x 1.5 = 20.25 ($/hr.)
Now we can calculate his overtime total:
8 (number of hours) x 20.25 (overtime pay rate) = 162 (in dollars)
So, to find the total amount of money Joe earned, we have to add the two totals together:
540 + 162 = 702
Thus, Joe has earned $702 in total
Hope this helped!
