Step-by-step explanation:
Using SOHCAHTOA

Second Question Explanation:
a. The base angles of an isosceles triangle are equal so angle ABC is also 32°
but the sum of angles in a triangle = 180° therefore
let angle CAB be x

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB
First the base of the right angled triangle will be 20/2 = 10

c. To find the are we'll need to get the height first
using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

now to find the area

6 Dogs and 4 cats
explanation - with the 2:3 ratio, multiplying by two gives us 4:6, and combined (4+6) is 10
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16
Answer:
90
and
20
i think so ye
Step-by-step explanation: