<span>2.31*10-^3 using scientific notation
= 0.00231</span>
Answer:
It was an exponential increase
In 3 months, the bill will be $285.61
Step-by-step explanation:
First, this scenario is exponential, because the price of food is increasing with a percentage, based on the price that it was the previous amount.
Next, to find what the bill will be in 3 months, an equation needs to be made representing the situation.
Use the standard exponential equation: y = ab^x, where a is the initial amount, b is the growth rate, and x is the amount of time.
Plug in the values we know:
y = 130(1.3)^3
Solve for y
y = 285.61
So, 3 months later, the bill will be $285.61
Answer: last option (5π√146 units²)
Step-by-step explanation:
To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:
where r is the radius but L is the slant height.
As you can see in the figure attached:
But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):
Substitute into the formula, then:
units²
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
