Answer:
6.2
Step-by-step explanation:
Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.
Now, you that area for a triangle is 1/2*base*height.
To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:
Height is the same for both triangles so Height total = 4 ft.
Now the total area can be calculated:
Area total= 1/2* base_total * height_total
Area total = 1/2 * 5ft * 4 ft
Area total = 20 / 2 = 10 ft squared
Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.
Area Empty Triangle = 1/2 * base_empty * height_empty
Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared
Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
Answer:
<em>( - 15, - 16 ) </em>
Step-by-step explanation:
Coordinates of midpoint are ( 
, 
)
( - 5 + x ) / 2 = - 10 ⇒ x = - 15
( 4 + y ) / 2 = - 6 ⇒ y = - 16
<em>( - 15, - 16 )</em>
Answer:
-72 and -77
Step-by-step explanation:
-149 divided by 2 is 74.5 and sense we want a 5 difference we divide 5 by 2 to get 2.5 the we take 74.5 and add 2.5 to get - 72 and take 74.5 and subtract 2.5 to get -77.
Answer:
r = -3
Step-by-step explanation:
trust.
