Answer:
3 3/4 cups flour
Step-by-step explanation:
If Marie needs 2.25 cups of flour for 36 dozen cookies, then our equations would be:
2.25f = 36
f = 16
3.75f = 60
Answer: 152 degrees.
Step-by-step explanation: Since angle 1 and angle 5 are alternate exterior angles, they are congruent. Thus, angle 5 is also equal to 152 degrees.
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
Answer:
-4
Step-by-step explanation:
('+')('-') = ('-')
Therefore,
(+2)(-2) = (-4)
All it is asking is to plug the given x values into the equation (which are 0, 2, 4) and see what you get for y.
4y - 2x =16
4y - 2 (0) = 16
4y = 16
y = 4
4y - 2 (2) = 16
4y - 4 = 16
4y = 20
y = 5
4y - 2 (4) = 16
4y - 8 = 16
4y = 24
y = 6
so D
