19. 4/6 or 2/3 (lowest term) or 2:3 in ratio
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
Answer:
Yes.
Step-by-step explanation:
If the slope between successive points have the same slope then they will form a straight line.
Slope = ( 3.5- -1) / (-2 - -8) = 4.5/6 = 3/4
Slope = (12.5 - 3.5) / (10 - -2) = 9 / 12 = 3/4
Slope = (20-12.5)/(20-10) - 7.5/10 = 3/4 .
So the answer is yes.
Answer:
No, he does not have enough
Step-by-step explanation:
To decorate each cupcake, Henry needs 3 walnuts. Each package has 27 walnuts. With each cupcake needing 3 walnuts, Henry can decorate 9 cupcakes in one package. He has 5 packages which means he can decorate 9*5=45 cupcakes. However, he is making 4 dozens which is 4*12=48. He will not have enough.
To get a certain percentage as a decimal, all you have to do is divide this percentage by 100.
Applying this on the given question, we will find that:
3.58% = (3.58) / (100) = 0.0358
Comparing the calculated value to the given choices, we will find that the correct choice is:
<span>c) 0.0358</span>
