Answer:
Step-by-step explanation:
pentagon , penta (five in Greek) has 5 sides and 5 interior angles
Answer:
31
Step-by-step explanation:
The range of a set of data is the difference between the highest and lowest values in the set.
First arrange all the figures in order from the smallest to the largest value
3,7,8,16,20,22,34
Therefore, finding range would be; 34-3 =31
Hope this helps!
Answer: A cherry pie costs 9 and an apple pie cost 12
Step-by-step explanation:
Let an apple pie be represented by a
Let an cherry pie be represented by c
Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:
12c + 3a= 144
Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:
2c + 9a = 126
12c + 3a= 144 ............. i
2c + 9a = 126 ........... ii
Multiply equation i by 2
Multiply equation ii by 12
24c + 6a = 288 ........ iii
24c + 108a = 1512 ...... iv
Subtract iv from iii
-102a = -1224
a = 1224/102
a = 12
An apple pie costs 12
From equation i
12c + 3a= 144
12c + (3×12) = 144
12c + 36 = 144
12c = 144 - 36
12c = 108
c = 108/12
c = 9
A cherry pie costs 9
Lets solve your equation step by step:
(4k + 5)(k + 1) = 0
Step 1: Simplify both sides of the equation:
4k^2 + 9k + 5 = 0
Step 2: Factor left side of equation:
(4k + 5)(k + 1) = 0
Step 3: Set factors equal to 0:
4k + 5 = 0 or k + 1 = 0
k = - 5/4 or k = - 1
Answer: k = - 5/4 or k = - 1
Hope that helps!!!! ( Answer: k = -5/4 or k = -1)
Answer:
5√2 units ≈ 7.07 units
Step-by-step explanation:
The ratio of leg to hypotenuse in an isosceles right triangle is ...
leg/hypotenuse = 1/√2
Multiplying by the length of the hypotenuse, we have ...
leg = hypotenuse/√2 = 10/√2
leg = 5√2 . . . . rationalize the denominator
The length of one leg is 5√2 units, about 7.07107 units.