Answer:
Yes, it is directly proportional.
Step-by-step explanation:
Since Anna does a sit-up at a certain amount of time, then we have two quantities we are comparing: a sit up and the amount of time it takes.
It is said that the tired she gets, the more time she uses. Therefore, as her tiredness increases, the amount of time also increases. This implies that the quantities are proportional, directly proportional.
Answer:
314 ft²
Step-by-step explanation:
Area of a circle is:
'r' is the raduis.
We are given the radius of 10 ft.
Using 3.14 for pi:
The area of the circle should be 314 ft².
1. If two secants intersect to form the vertex of an angle outside a circle and the sides of the angle intercept arcs on the circle, then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle. A prudent auxiliary line is a chord connecting points of intersection of the sides of the angle with the circle as shown at the right.<span>
</span><span>2. Inscribed angle theorem. The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
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According to 2. : measure of arc RT = 2 m (angle S) = 60
Apply 1. : m(angle U) = (arc RS - arc RT )/2 = (84 - 60)/2 = 12
Answer:
2)48 4)150
Step-by-step explanation:
just refer to the picture I sent
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Define x and y
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Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)
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Construct the 2 equations:
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Both x and y must add up to 120g
⇒ x + y = 120
Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2
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Solve x and y:
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x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)
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From equation 2:
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0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48
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Substitute x = 48 into equation 1:
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x + y = 120
48 + y = 120
y = 120 - 48
y = 72
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Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
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