Answer:
Arc ECG is the major arc
Step-by-step explanation:
Arc ECG is made by an angle which is greater than 180°.
All the other arcs listed are made by angles which are 180° or less than.
The greater the angle measure the greater the arc length.
Answer:
235
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9*12.5=112.5
rec 2: (13.5-5.5)*(19.5-9-7)=28
rec 3:7*13.5=94.5
Then:
112.5+28+94.5=235
Answer:
x =12
Step-by-step explanation:
We can use the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
16^2 + x^2 = 20^2
256 +x^2 = 400
Subtract 256 from each side
256-256 +x^2 = 400-256
x^2 =144
Take the square root of each side
sqrt(x^2) =sqrt(144)
x = 12
Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.

2. Substract 5 from both sides and simplify.

3. Multiply 8 on both sides and simplify.

<u>We have found our number, it's 296!</u>
we have been asked to find the sum of the series

As we know that a geometric series has a constant ratio "r" and it is defined as

The first term of the series is 
Geometric series sum formula is

Plugin the values we get

On simplification we get

Hence the sum of the given series is