Answer:
the answer is 114
Step-by-step explanation:
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3
Answer:
The correct answer is fabric Jimmy's sister needs = 
× fabric Jimmy needs = × 
yards of fabric.
Step-by-step explanation:
Jimmy's costume requires ⅞ + ½ + 1 
yards of fabric = 
yards.
His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (
) yards of what Jimmy needs = yards of what Jimmy needs.
The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by
Fabric Jimmy's sister needs = × fabric Jimmy needs = × yards of fabric.
We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²
