Answer:
190.684
Step-by-step explanation:
To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs
, 1 
, 1 1
2, <u>9</u> 2
9 261
38, <u>0</u> 2 60
0 0
.
380, 6 26000
, 6 22800
3806, 8 320000
, 8 304480
38068, 4 1552000
,4
Which gives 190.684
3 63 60
We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1
We have 1 * 1 = 1
We subtract it from the 3 to get 2
We add the 1's to get 2
We bring down the next pair which is 63 to form the next dividend, 263
We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261
We continue till we arrive at the vertical paired numbers which is 190.684.
Answer:
228 feet
Step-by-step explanation:
Since M represents the number of lessons he completes,
sub M=8 into S=26M+20
S=26(8)+20
=228
Answer:
m∠R = 112°
m∠S = 112°
m∠T = 68°
Step-by-step explanation:
Quadrilateral QRST is a cyclic quadrilateral.
A <u>cyclic quadrilateral</u> is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.
The <u>opposite angles</u> in a cyclic quadrilateral sum to 180°.
⇒ m∠Q + m∠S = 180°
⇒ m∠R + m∠T = 180°
Given:
- m∠Q = 68°
- m∠R = (3x + 40)°
- m∠T = (5x - 52)°
<u>Measure of angle Q</u>
⇒ m∠Q + m∠S = 180°
⇒ 68° + m∠S = 180°
⇒ m∠S = 180° - 68°
⇒ m∠S = 112°
<u>Measure of angles R and T</u>
⇒ m∠R + m∠T = 180°
⇒ (3x + 40)° + (5x - 52)° = 180°
⇒ )8x -12)° = 180°
⇒ 8x° = 192°
⇒ x = 24
Substituting the found value of x into the expressions for angles R and T:
⇒ m∠R = (3(24) + 40)°
⇒ m∠R = 112°
⇒ m∠T = (5x - 52)°
⇒ m∠T = 68°
Calculate the probability that both bids are successful
Answer:
The probability that both contracs are successful is 0.21
Step-by-step explanation:
Given
E1 = the event that the bid on the first contract is successful
E2 = the event that the bid on the second contract is successful
P(E1) = 0.3
P(E2) = 0.7
Let P(A) represent the event that both contracts are successful
P(A) = P(E1 and E2)
Since both events are independent. P(A) becomes
P(A) = = P(E1 * P(E2)
By substituton
P(A) = 0.3 * 0.7
P(A) = 0.21
Hence the probability that both contracs are successful is 0.21
