Answer:
Length: x + 5
Step-by-step explanation:
x² + 8x + 15 = length × width
x² + 8x + 15
x² + 5x + 3x + 15
x(x + 5) + 3(x + 5)
(x + 5)(x + 3)
Width: (x + 3)
Length: (x + 5)
9.5÷8=1.1875 (distance covered in 0.1 hour)
1.1875 ×10 =11.875
Answer:
- Long leg = 10√3
- Short leg = 10
- Hypotenuse = 20
Step-by-step explanation:
<u>Concept: </u>
Here, we need to know the idea of a special triangle 30-60-90.
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.
The ratio between the corresponding side of each angle is 1 : √3 : 2
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
30-60-90 ⇔ 1 : √3 : 2
Given the side corresponding to 90° is 20
30° : 90° = 1 : 2
30° : 20 = 1 : 2
30° = 10
30° : 60° = 1 : √3
10 : 60° = 1 : √3
60° = 10√3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
igggg
Step-by-step explanation:
hfghggghvvhhhgghu
First, calculate f(g(x))==> you plug (5x+4) in the value of x in f(x)
==>f(g(x))= 8-[10(5x+4)===>8-50x-40===>f(g(x))= -50x + 32
& f(g(-2))= -100+32 =68.
There is a mistake in your answers, it should be 68 & not 78