Answer:
4 inches
Step-by-step explanation:
Given that :
Amount of Rainfall in October = 14 inches
Amount of Rainfall in October = 3 1/2 times more than Rainfall during September
How much rain fell.during September :
The problem is a division problem ;
Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;
If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.
14 inches ÷ 3 1/2
14 ÷ 7/2
14 * 2 / 7
= 28 / 7
= 4 inches
Hence, the amount of Rainfall in September is 4 inches
A=BH
Area=Base*Height
The base is 7 in+6 in which equals 13 inches.
Now were set, 13*45.5
Solve to get the answer 591.5
-Seth
Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - 
= 
product of roots = 
= - 3, then
sum of new roots = 
+ 
= 
= 
= - 
product of new roots = ×
= 
= - 
Hence the required equation is
x² + x - = 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )
Answer:
The measure of angle ABT is 28°
Step-by-step explanation:
* Lets revise the bisector of a angle
- If a ray bisects and angle that mean the ray divide the angle into
two equal parts in measure
- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is
equal to the measure of angle CBD
* Lets solve the problem
∵ BT bisects ∠ABC
∴ m∠ABT = m∠CBT
∵ m∠ABT = 4x - 16
∵ m∠CBT = 2x + 6
- Equate the two values
∴ 4x - 16 = 2x + 6
- Lets solve the equation by subtracting 2x from both sides and
adding 16 to both sides
∴ 4x - 2x = 6 + 16
∴ 2x = 22 ⇒ divide both sides by 2
∴ x = 11
- Lets find the measure of angle ABT
∵ m∠ABT = 4x - 16
- Substitute x by 11
∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°
* The measure of angle ABT is 28°
