Answer:
1 1/3
Step-by-step explanation:
Step 1: Find the whole number
We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
8/6= 1.3333333333333 = 1
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numerator
To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (6). The result of that multiplication is then subtracted from the original numerator:
8 - (6 x 1) = 2
Step 3: Our mixed fraction
We've now simplified 8/6 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
1 2/6
Step 4: Simplifying our fraction
In this case, our fraction (2/6) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 2 and 6 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
2/2 = 1
6/2 = 3
When we put that together, we can see that our complete answer is,
1 1/3
The answer is 47.5.
The equation for this problem is:
60(H) + (M) divided by 2.
Plug the numbers of the time in the equation,
60(3) + (25) / 2
180 + 25 / 2 = 205/2
205/2 = 102.5 (Smaller Angle)
Then you calculate the angle between 12 and the Minute hand 25.
0m= 6M
0m = 6(25)
0m= 150
Final step is to subtract the hour angle by the minute angle.
H(102.5)-(150)= -47.5 or 47.5 degrees
Hope this helps,
kwrob
Answer:
7.) 16.7
Step-by-step explanation:
7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle
Using the pythagrorem theorem a² + b² = c²
4² + b² = 5²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² =√9
b = 3
next you do the same thing to find the missing segment of the longest side
3² + b² = 13²
b² = 169 - 9
b² = 160
b = √160 or ≈ 12.7
12.7 + 4 = 16.7
so 16.7 is the length of that side
A) The figure decomposes nicely into 1 rectangle and 2 triangles.
B) AB = 4 units; AE = 5 units.
C) The rectangle whose diagonal is BE has area 4*5 = 20 units^2.
.. The triangle CDE has area (1/2)*7*1 = 7/2 units^2.
.. The triangle BCF has area (1/2)*3*5 = 15/2 units^2.
The total area of the figure is
.. area = rectangle + triangle CDE + triangle BCF
.. = (20 +7/2 +15/2) units^2
.. = 31 units^2
_____
Check:
.. Compare our computed value of area to that listed for poly1 on the left side of the figure.
Answer:
follow on insta trippy1669
Step-by-step explanation:
