Answer:
500 figures.
Step-by-step explanation:
We know that 185 figures is 37% of her entire collection.
Let c represent the total amount of figures.
Since 185 is 37% or 0.37 <em>of</em> her total collection, we can write the equation:

Remember that the keyword <em>of</em> tells us it's multiplication.
Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

Evaluate. Use a calculator. So:

Sofia's total collection has 500 figures.
Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
see explanation
Step-by-step explanation:
To find the zeros let h(t) = 0, that is
t² + 4t + 3 = 0 ← in standard form
(t + 3)(t + 1) = 0 ← in factored form
Equate each factor to zero and solve for t
t + 3 = 0 ⇒ t = - 3 ← smaller t
t + 1 = 0 ⇒ t = - 1 ← larger t
(2)
given a parabola in standard form : ax² + bx + c ( a ≠ 0)
Then the x- coordinate of the vertex is
= - 
h(t) = t² + 4t + 3 ← is in standard form
with a = 1 and b = 4, thus
= -
= - 2
Substitute t = - 2 into h(t) for y- coordinate
h(- 2) = (- 2)² + 4(- 2) + 3 = 4 - 8 + 3 = - 1
Vertex = (- 2, - 1 )
Answer:
2.5h = 150 min.
Step-by-step explanation:
An hour is 60 minutes.
A half an hour is 30 minutes.
Two hours = 1 hour + 1 hour = 60 minutes + 60 minutes = 120 minutes
2.5 hours = 2 hours + 1/2 hour = 120 minutes + 30 minutes = 150 minutes
2.5h = 150 min.
Hope this helps.
Answer:
16 tablespoons and 4 tablespoon
Step-by-step explanation: