Question 1.
The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.
From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.
This implies that,
Evaluate the exponents
Subbtract 4 from each side
The correct answer is C
Question 2
We want to solve
using inverse functions.
The inverse of an exponential function is a logarithmic function.
We take natural log of both sides to get;
Recall that
This means
Logarithm of the base is 1
Divide both sides by 4
Answer:
37 years.
Step-by-step explanation:
Interest = PRT/100 where P = Initial Amount, R = rate, T = the time.
So we have the equation:-
8600 + 8600*3.95 * T / 100 = 21000
8600 + 33970T / 100 = 21,000
8600 + 339.7T = 21000
339.7T = 21000 - 8600
T = (21000 - 8600) / 339.7
T = 36.5 years
Answer:
f(x) = (x-4)(x+2)
Step-by-step explanation:
f(x) = x^2 – 2x – 8
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
f(x) = (x-4)(x+2)
Answer:
Step-by-step explanation:
1. 6*6 + 6*12
= 36 + 72
= 108.
2. 3*5 + 3*5 + 3*14
= 15 + 15 + 42.
= 72.
3. 10*4 + 1/2 * 4*4
= 40 + 8
= 48.
4. 12*6 + 1/2 * 12 * 3
= 72 + 18 = 90.
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
