Answer:
x = 10
Step-by-step explanation:
We know that the sum of angles in a triangle is equal to 180 degrees;
This means that
71+50+(6x-1) = 180; now that you have an algebraic expression, you can solve for x.
71+49+6x=180
120+6x = 180
6x = 60
x = 10
Answer:
Raquel should adjust the number of rotations to 115.81 rotations
Step-by-step explanation:
step 1
Find the circumference of the wheels that are 2.5 cm in diameter
The circumference is equal to

we have

assume

substitute


step 2
Find the number of rotations
Divide 10 meters by the circumference


step 3
For a diameter of 2.75 cm find how should she adjust the number of rotations so that the robot travels the same distance
Find the circumference of the wheels
The circumference is equal to

we have

assume

substitute


step 4
Find the number of rotations
Divide 10 meters by the circumference


Answer:
The total cost of commodities = $61.82
Step-by-step explanation:
Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes is $44.00.
The tax rate in the shop = 9%.
We have to find the total price Sam has to pay.
The total cost of the shirt and the pair of shoes = 12.72 + 44 = $56.72
Now there is tax of 9%.
So the cost becomes 1.09 times the initial value.
Hence the final price = 56.72
= $61.82
The final price of shirt and shoes = $61.82
Answer:
Step-by-step explanation:
force=mass × acceleration
20=5×a
a=20/5=4 m/s²