Answer:
again it has a ratio
Step-by-step explanation:
follow this steps.
firstly look at the side and you got the ratio 24/16
secondly write 42/? and multiply by 24/16
the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28
Answer:
Our equation is:
y = f(x) = 2.5*x
The domain is the set of the values of x.
The range is the set of the values of y.
They must sell between 55 and 60 candy grams to meet their goal.
If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.
Then the domain is:
D: 55 ≤ x ≤ 60.
Now that we know the domain, we can find the range.
As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:
y = 2.5*55 = 137.5
And the maximum will coincide with the maximum in the domain:
y = 2.5*60 = 150.
Then the range is:
y = 137.5 ≤ y ≤ 150
Answer:



Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

Also sum of angles in triangle CBD is 180°.

Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin
= 
⇒ x = 86 x Sin 
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet