Answer:
x=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
where
y is the average annual salary
x is the number of years
r is the rate of change
a is the initial value
In this problem we have
substitute
For x=4 years
Answer:
The area is 11317.51
Step-by-step explanation:
The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.
b+c<a
133+174 < 240
A triangle can be formed
To use Herons formula for the area
We find S = 1/2( a+b+c)
= 1/2(240+133+174)
= 1/2 (547)
= 273.5
Area = sqrt( S (S-a) (S-b)(S-c))
sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))
sqrt((273.5)(33.5) (140.5) (99.5))
sqrt(128085964.4)
11317.50699
The area is 11317.51
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Answer: 15°.
