Like in real life problems?
if yes then when conducting a survey, when grading quizzes/assignments, etc
Answer:
<u>m<ABC=42</u>
Step-by-step explanation:
This image shows the majority of the math and all you do to get to that point is add 5x+13 and 3x+33 so you can find x which you will need to complete the equation for m<ABC, and you know they equal 70, which means all you have to do is take 8x+46=70 and work it out giving you x=3. then you can find m<ABC by pluging in 3 to the equation 3x+33, so 3*3=9, and 9+33=42, so your answer is m<ABC=42
Answer:
$80
Step-by-step explanation:
400÷50= 80 which is the weekly rate of wages
Answer: the cylindrical bottle contains 141.39 centimeters ^3 of water
Step-by-step explanation:
The bottle has the shape of a cylinder. This means the volume of the bottle will be calculated using the formula for calculating the volume of a cylinder. Formula for calculating the volume of a cylinder is
V = πr^2h
Radius, r = diameter of the cylindrical water bottle /2 = 4/2 = 2 centimeters
Height of cylindrical water bottle, h = 15 centimeters
Volume of cylindrical water bottle, V = 3.142 × 2^2 × 15
= 188.52 centimeters ^3
If he filled the water bottle 3/4 full of water, this means that the current volume of the water bottle is 3/4 × it's original volume.
= 3/4 × 188.52 = 141.39 centimeters ^3
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
Remember that AB is a tangent to the circle at point B
so
AB is perpendicular to OA
The radius of the circle is equal to the segment OA
In the right triangle OAB
substitute the values
step 2
Find the value of p
In the right triangle OPQ
see the attached figure to better understand the problem
Applying the Pythagoras Theorem
substitute the values
Remember that OP is the radius
simplify