Answer:
m(arc)PM = 139°
Step-by-step explanation:
m<N = (1/2)[m(arc)PM - m(arc)OM]
59 = (1/2)[m(arc)PM - 21]
118 = m(arc)PM - 21
m(arc)PM = 139°
<span>Height of the skyscraper to the nearest hundredth foot
= 5280 Tan(2)
= </span>184.38
Answer:
20-3=17
5-2=3
17/3 is... 5 and 2/3
Step-by-step explanation:
Answer:
The dimensions of the rectangle are length = 7cm and width = 6cm.
Step-by-step explanation:
In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable. Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation: L = 2w - 5. Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L. We can then use our expression for 'L' in our perimeter formula: 26 = 2w + 2(2w - 5). First, using the distributive property we get: 26 = 2w + 4w - 10. Next, we combine like terms: 26 = 6w - 10. Then, we use inverse operations to isolate the variable: 26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6. Lastly, plug in the value of 'w' to 'L': L = 2(6) - 5 or L = 7.
Question 1
There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are

ways of arranging the letters, which equal to 210 ways
Question 2
There are seven swimmers in total.
There are

ways of choosing the first winner, which is 7 ways
There are

ways of choosing the second winner, which is 6 ways
There are

ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner
Question 3
The probability of eating an orange and a red candy is

×

, which equals to

The probability of eating two green candies is

×

which equals to