Answer:
y = 16
Step-by-step explanation:
6y - (6 + 4y) = 26
6y - (6 + 4y) = 2y - 6
2y - 6 = 26
+6 +6
-------------------
2y = 32
/2 /2
-------------------
y = 16
Answer:
9,765 cm
Step-by-step explanation:
We'll solve out the measurements for triangle ABC then it will be easy to figure out x
For triangle ABC, we have
Angle B = 90 degrees.
Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).
Angle C = 180 - 90 - 38 = 52 degrees.
To find the measurement of the BC line, which we label a, we know that
![\frac{a}{sin(A)} = \frac{c}{sin(c)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%3D%20%5Cfrac%7Bc%7D%7Bsin%28c%29%7D)
So, we can isolate the a to get:
![a = \frac{c * sin(A)}{sin(c)} = \frac{25 * sin(38)}{sin(52)} = 19.53](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bc%20%2A%20sin%28A%29%7D%7Bsin%28c%29%7D%20%3D%20%5Cfrac%7B25%20%2A%20sin%2838%29%7D%7Bsin%2852%29%7D%20%3D%2019.53)
Now we know the segment BC is 19.53 cm.
And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.
So, CD is half of BC.... so 19.53 / 2 = 9.765 cm
1) answer = 360
explanation =
-> 10% of 300 = 300*10
-> 10% of 300 = 30
-> 20% = 10% x 2
-> 20% = 30 x 2
-> 20% = 60
-> 300 yards ( distance they ran ) + 60 yards ( how much more distance Quadra ran ) = 360 yards
2) answer = Newton spends 10 minutes or 1/6 hours reading
explanation =
-> 25% = 1/4
-> 40*4= 10
-> 1 hrs = 60 min
-> 10 min x 6 = 60 min
-> 1/6 hrs = 10 min
3) answer = 30 fish
explanation =
-> 40% = 12
-> 10% = 3
-> 40*4=10 and 12*4=3
-> 10% + 40% = 50% so 12 + 3 = 15
-> 50% = 15 and 100% = 15 x 2
-> 100% = 30
4) answer = 30
explanation =
-> 1/4 is equal to 25 %
-> add up all the prrcentages ( 25% + 10% + 15% = 50% )
-> she have 50% of tej chocolates Which were in the tin she bought away and kept 15 chocolates to herself
-> 50% = 1/2
-> 50% x 2 = 100%
-> 15 x 2 = 30
Answer:
![\frac{50}{113}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B113%7D)
Step-by-step explanation:
The ratio is simply the division of one by another (and simplification).
Hence, <u>the ratio of production of the first line to the second line</u> is 1250 divided by 2825. So,
Ratio = ![\frac{1250}{2825}=\frac{50}{113}](https://tex.z-dn.net/?f=%5Cfrac%7B1250%7D%7B2825%7D%3D%5Cfrac%7B50%7D%7B113%7D)
The answer would be 64 inches or 5 feet 4 inches.
3 yards is equal to 108 inches and 1 foot is equal to 12 inches which equals 120 inches
120-56=64