The triangles are congruent. So.
Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.
Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.
This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2
The answer is 6inches^2
Answer:
see explanation
Step-by-step explanation:
given
a² + b² = c² ( isolate b² by subtracting a² from both sides )
b² = c² - a² ( take the square root of both sides )
= ± 
b = ±
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Joanna would have spent $8.94 on apples at the farmers market.
Answer:
<A = 18.6 Degree
<B =74.4 Degree
<C = 87 Degree
Step-by-step explanation:
Sum of all the angles of triangle is 180
as given ,
<A = ?
<B = 4<A
<C = 5 <A - 6
As per rule ,
<A + <B +<C = 180
<A + 4 <A + 5<A - 6 = 180
10 <A - 6 = 180
10 <A = 180 + 6
<A = 186 / 10
<A = 18.6 Degree
Hence ,
< B = 4 X (18.6)
< B = 74.4 Degree
and
<C = 5 (18.6) - 6
<C = 87 Degree
PROOF
<A + <B + <C = 180
18.6 + 74.4 + 87 = 180
180 = 180
