Answer:
<u>∠DFA = 82°</u>
Step-by-step explanation:
According the property of inscribed angles and arcs, the angle is half of the arc length.
Solving :
- ∠CFB = 1/2 x ∡CB
- ∠CFB = 1/2 x 164°
- ∠CFB = 82°
- ∠CFB = ∠DFA (Vertically Opposite Angles)
- <u>∠DFA = 82°</u>
Answer:
2 4/16 = 2 1/4 lb
Step-by-step explanation:
The pointer is 4 of the smallest units above 2. There are 16 of those small units. Each 2 of those units is 1/8 pound, so when the pointer is on a multiple of 2 units, it is on a multiple of 1/8 pound. No guesswork is required to choose the correct weight to the nearest 1/8 pound.
2 4/16 = 2 1/4 lb . . . . the scale reading to the nearest 1/8 pound.
Answer:
-60+87d
or
87d-60
Step-by-step explanation:
-3(20+-29d)=
-60+87d
To calculate g, we use the formula F= mg. F is given as 180N, and m is given as 30 kg, therefore:
180N = (30kg)(g)
g = 6 m.s-1.
The motion of this object would be decreased on Earth as more force would be required to lift it. If we assume g is 9.8 m.s-1 on Earth, we can calculate the force required.
F = mg
= (30kg)(9.8 m.s-1)
= 294 N
Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:

From equation 1:

Putting the value of y in equation 2

Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation

Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.