Answer:
68.9°
Step-by-step explanation:
Using Sine rule
x/sin X = y/sin Y
4.5/sin X = 4/sin 56
sin X × 4 = 4.5 × sin 56
sin X = 4.5 × sin 56/4
X = arc sin (4.5 × sin 56/4)
X = 68.85449°
Approximately = 68.9°
Answer:
Option A = 7.5 cups
Step-by-step explanation:
Given : Suppose you're making a soup that uses 5 cups of chicken broth and
teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need
teaspoons of corn starch.
To find : How much broth do you need?
Solution :
A soup that uses 5 cups of chicken broth and
teaspoons of corn starch for 8 servings.
i.e. 5 cups +
teaspoon = 8 servings ......(1)
You need to make 12 servings of the soup, so you'll need 
i.e. x cups +
teaspoon = 12 servings ........(2)
So, First we find the ratio
Ratio is 
So to equal the ratio multiply (1) by 
cups +
teaspoon =
servings
cups +
teaspoon = 12 servings
On comparing with (2),
The value of x is
.
Therefore, The broth do we need is
cups.
So, Option A is correct.
Answer:
x < 7
Step-by-step explanation:
Flip the equation to make it easier: x - 6 < 1
Move 6 to the other side and change sign: x < 1 + 6
Do simple addition: x < 7
Answer:
D
Step-by-step explanation:

=
Factor out 2 on the numerator and 2x on the denominator.
= 
Cancel the factor (x + 2) on the numerator/ denominator
=
← cancel the 2 on numerator/ denominator
=
: x ≠ 0