Answer: height = 13.9 cm
Step-by-step explanation:
The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2
Base area = πr^2
Substitutes the value into the formula
98.56 = 22/7 × r^2
Cross multiply
689.92 = 22r^2
r^2 = 689.92/22
r = sqrt ( 31.36 )
r = 5.6 cm
Also, the curved surface area of a cone is πrL
Where the given value is 264 cm^2
Substitutes the value into the formula
264 = 22/7 × 5.6 × L
Where L = slant height
Cross multiply
123.2L = 1848
L = 1848 /123.2
L = 15 cm.
Using pythagorean theorem to find the height H of the cone.
H^2 = L^2 - r^2
H^2 = 15^2 - 5.6^2
H = sqrt( 193.64 )
H = 13.9 cm
Answer:
Step-by-step explanation:
log3(x^2)-log3(x+4)=4
Log 3(x^2/x+4)=4 -Combine the logs
x^2/x+4 = 3^4 - Use the relationship Logb(y)=x =>b^x=y
x^2/x+4 = 81
x^2= 81^(x+4)
x^2=81x+324
x^2-81x-324=0
Solving for x using the property x=-b-/+[tex]\sqrt{x} b^2-4ac]/ 2a
=(81 ±√(81)^2-4^11^324)/2
= (81±√6561-1296)/2
=(81±88.63)/2
= (81+88.63)/2
=84.81
Answer:
1230
Step-by-step explanation:
80 x 4 = 320
320 + 910 = 1230
Answer:
a. 16.13%
Step-by-step explanation:
By not taking the discount, the company pays ...
1/(1 -0.03) -1 ≈ 3.0928%
for the use of the creditor's money for 85 -15 = 70 days.
This translates to an annual rate x according to the proportion ...
3.0928%/70 = x/365
x = (365/70)(3.0928%) ≈ 16.13%
The APR of the credit the company is using is about 16.13%.
Answer:
$812.25
Step-by-step explanation:
Given data
Cost of TV= $855
Discount= 10%
Tax= 5%
Let us find the amount of the Discount
=10/100*855
=0.1*855
=$85.5
Let us find the amount of the Tax
=5100*855
=0.05*855
=$42.75
Hence the cost of the TV is
=855+42.75-85.5
=897.75-85.5
=$812.25
