Answer:
70.86 degrees
Step-by-step explanation:
cos x = adjacent side / hypotenuse
= 2/6.1 = 0.32787
x = 70.86.
Answer:

Step-by-step explanation:
The given equation is 4 + 2/3 x = -5
Taking variable on one side and constants on other side, we get


The number in decimal form is given by -13.5
The number in fraction form is given as 
Answer:
He would need 42 cm *or 14cm
Step-by-step explanation:
28/4 is 7
that means that he used 7 cm of tape per present
6 x 7 is 42
that means that he would need 42 cm of tape
4 to 28
6 to 42
*If he already has 4 presents done and he needs to 2 more present then he would need 14 cm, 2 x 7 is 14
Answer:
33.3%
Step-by-step explanation:
Let's say the percent change is x%. Then the equation is:
30 + x% * 30 = 40
Subtract 30 from both sides:
x% * 30 = 10
Divide by 30:
x% = 10/30 = 1/3
Remember that % simply means "out of 100", so:
x/100 = 1/3
Multiply both sides by 100:
x = (1/3) * 100 = 33.3%
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by

where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)