Answer:
a) Surface area = 616 cm²
b) Volume = V = 1083 cm³
Step-by-step explanation:
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
a) Formula for surface area = Base area × 1/2(perimeter × slant height)
Base area = Base edge²
=( 16 cm)² = 256 cm²
Perimeter = Base edge × 3
= 16 cm × 3 = 48 cm
Hence:
Surface Area = 256 cm² + 1/2(48 × 15)
= 256 cm² + 360 cm²
= 616 cm²
b) Volume = 1/3 × Base area × Height
1082.758616785cm³
Approximately = 1083 cm³
Answer:
-3+2sqrt7
-3-2sqrt7
Step-by-step explanation:
x^2+6x-9=10
x^2+6x-9-10=0
x^2+6x-19=0
ax^2+bx+c=0
a=1 b=6 c=-19
As cannot be solved by completing square we will use quadratic equation
x= (-b+sqrt(b^2-4ac))/2a and x= (-b-sqrt(b^2-4ac))/2a
x= (-6+sqrt(6^2-4*-19))/2 and x= (-6-sqrt(6^2-4*-19))/2
x=(-6+sqrt(36+76))/2 and x=(-6-sqrt(36+76))/2
x=(-6+4sqrt7)/2 and x=(-6-4sqrt7)/2
x=(-3+2sqrt7) and x=(-3-2sqrt7)
x=2.29 and x= -8.29
Answer:
Step-by-step explanation:
Tax payable:
= $4,543+($41,000-$39,476)×22%
= $4,543+$335.28
= $4,878.28
Tax rate:
= $4,878.28/$41,000
= 11.9%
<em>Hence, Tax rate is 11.9%</em>
Just take the answer of the subtraction problem and add it to the other number for an answer Example h-7=14 14 + 7=21 h=7
An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of an exponential function is given by the formula,
y = A (B)ˣ
Now as per the graph, there are two points (1, 50) and (2, 25).
50 = A (B)¹
50 = AB
A = 50/B
Substitute another point in the equation,.
25 = A (B)²
25 = (50/B) (B)²
25 = 50B
B = 0.5
Substitute the value of B,
A = 50/0.5 = 100
Hence, the equation of the exponential graph is A=100(0.5)ˣ.
Learn more about Equation:
brainly.com/question/2263981
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