Answer:
(-3,12)
Step-by-step explanation:
Answer:
7 quarters and 3 dimes
Step-by-step explanation:
x: quarter y: dime
25x + 10y = 205
x+y=10
y = 10-x
25x + 10*(10-x) = 205
25x+100 -10x = 205
15x = 105
x = 7
7 = 10-7 = 3
Answer:
98 is the answer of the expression
Step-by-step explanation:
AS it is a simple algebraic expression so these are solved by BDMAS rule which means that we have to solve the brackets first starting from the smaller bracket first which is inside a larger bracket then we will move to Division then multiplication then addition and then subtraction
so the following equation can be written as
= ![2^{3}[\frac{1}{4}+4(36/12)]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B4%2836%2F12%29%5D)
First of all solving smallest bracket and division inside it
= ![2^{3}[\frac{1}{4}+4(3)]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B4%283%29%5D)
Multplying 4 inside
= ![2^{3}[\frac{1}{4}+12]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B12%5D)
Now solving the 2³
= ![8[\frac{1}{4}+12]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%7D%7B4%7D%2B12%5D)
Now solving the expression inside the bracket by taking LCM
= ![8[\frac{1 + 4*12}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%20%2B%204%2A12%7D%7B4%7D%5D)
= ![8[\frac{1 + 48}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%20%2B%2048%7D%7B4%7D%5D)
= ![8[\frac{49}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B49%7D%7B4%7D%5D)
Now multiplying 8 with inside values
= ![[\frac{8*49}{4}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B8%2A49%7D%7B4%7D%5D)
AS 8 cuts out with 4 so
= 2 * 49
= 98
which is the answer of the expression
To convert radians to degrees, multiply by 180/p, like this:
<span>degrees = radians x (180 / π ) </span>
<span>To convert degrees to radians, multiply by p/180, like this : </span>
<span>radians = degrees x ( π/180) </span>
<span>(A) This will use the formula for radians to degrees. </span>
<span>π/3 x (180/π) </span>
<span>The pi's cancel, leaving you with: 180/3 = 60 degrees
False
(B) </span><span>An angle that measures π/6 radians also measures 30°
</span>π/6 x (180/π) = 30 degrees.
<span>True
</span>(C) <span>An angle that measures π/3 radians also measures 60°
</span><span>π/3 x (180/π) = 60 degrees.
</span>True
(D) An angle that measures 180 degrees also measures <span>π/2</span>
π/2 x (180/π) = 90 degrees.
False
6r 3r
J_______K_______L
--------------27------------
JK + KL = JL
6r + 3r = 27
9r = 27
r = 27/9
r = 3 <=====
