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kozerog [31]
3 years ago
5

AB is tangent to C. I need to find the value of r.

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
Tangent always meets radius at 90° angle.

Angle ABC = 90° so Pythagoras' theorem applies.

r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3


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Let f(t) give the number of liters of fuel oil burned in t days, and w(r) the liters burned in r weeks. Find a formula for w by
viktelen [127]

Answer:

7 f(t)

Step-by-step explanation:

So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.

w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.

As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:

w(r) = w[7f(t)]

So, we represented the liters in one week by it measure of days.

So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:

w (r) = w[7 f(t)] = 7 f(t)

Here we hace the w function represented in terms of t instead of r.

3 0
3 years ago
helppppp please James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described? (4
telo118 [61]

Answer:

Anwser is **42** Because if you add 32 and 10 you end up with 42

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which function has the largest y - intercept?
lesantik [10]
F(x) is a quadratic. The y intercept, therefore, is equal to the c value.
The y intercept here is -4.
For g(x), you can tell that the y intercept is 0 because that's the value of y when the x value is 0.
For h(x), the chart specifies that when x=0, y=-2, so the y intercept is -2.
Of these three values, 0 is the largest.
Final answer: g(x)
7 0
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Answer:

6720 ft³

Step-by-step explanation:

Volume = \frac{1}{2} * base * height * length

Here the base is 14 ft, height is 24 ft and length is 40 ft

using the formula:

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6720 ft³

6 0
2 years ago
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In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

7 0
3 years ago
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