Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
A: 19:26 B:7:8 C:26:45
Step-by-step explanation:
<u>Question A</u>
First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,
<u>Boys</u>
9+10=19
<u>Girls</u>
12+14=26
Now that you have the total number of boys and girls you make this ratio,
19:26
That is the final answer
<u>Question B</u>
For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,
<u>Fifth Graders</u>
12+9=21
<u>Sixth Graders</u>
14+10=24
Now that you have the total number of both of the different grades you make this ratio,
21:24
You can simplify this by finding the lowest common factor which would be
7:8
<u>Question C</u>
To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.
<u>Girls</u>
12+14=26
<u>All</u>
12+9+14+10=45
Now with the total number of both you will form a ratio
26:45
This is your final answer because you cant simplify this any further
The answer is C) 108 cubic units.
Answer:
i believe it is C 7,24,25
Step-by-step explanation:
good luck
Answer:
C) 4x^2 -8x +4[/tex]
Step-by-step explanation:
(-2x+2)^2
we apply (a+b)^2 formula
a= -2x and b= 2
Replace 'a' with -2x and 'b' with 2
(-2x)^2 is 4x^2
option C is the answer