Answer:
m∠C = 66°
Step-by-step explanation:
Given
m∠ A = 33°
m∠ B = 81°
To determine
m∠C = ?
We know that sum of angles of a triangle is 180°.
so using the equation
m∠ A + m∠ B + m∠C = 180°
substituting m∠ A = 33°, and m∠ B = 81° in the equatio
33° + 81°+m∠C= 180°
114° + m∠C = 180°
m∠C = 180° - 114°
m∠C = 66°
Therefore,
Answer:
£ 631
Step-by-step explanation:
Hi this is a simple mathematics issue.
First, let's imagine what is 3%. '3 percents' means 3/100. If your family have 100 apples and you have 3 apples, that means you have 3% of your family apples.
Now, get back to this problem. We need to find the price before increase. Let's say the price was £ X. Now we will find the X number.
It's said that the price was increased by 3%. That means they took 3% of X and added that amount to X to have the new price : £ 650. That means we have this equation :
650 = X + 3%×X
Let's make it easier to look :
650 = X + 3/100 ×X
650 = X×( 1+ 3/100)
= X × 103/100
So we can see 650 is equaled to X multipled by 103/100.
To find the correct answer, simply divide 650 by 103/100.
*A hint: When you divide a number by a fraction, you can simply put the number multiplied by the "flipped" fraction .
Hope you learn with Joy and High Grades !!!
For this case, the surface area of the cylinder is given by:
A = 2 * pi * r * h + 2 * pi * r ^ 2
Where.
r: cylinder radius
h: cylinder height
Substituting values we have:
A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2
A = 471
Answer:
The total surface area of the cylinder is:
A = 471
Set up a proportion.
pounds / milligrams of medicine
195/279 = 130/x
195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186
A patient weighing 130 pounds needs 186 milligrams of medicine.
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where
is the sample mean and ME is the margin of error .
Given : The sample mean : 
Margin of error : 
Then , the range of values (confidence interval) likely to contain the true value of the population parameter will be :-

Hence, the range of values likely to contain the true value of the population parameter = 