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2 years ago

Identify the value of b. PLEASE HELP!!

Mathematics

1 answer:

Degger [83]2 years ago

7 0

Answer:

b = 18

Step-by-step explanation:

From an external point, the products of distances to the near circle intercept and the far circle intercept are the same. For a tangent, such as AC, point A is both the near and far intercept point, so that product is the square of the length of AC.

(AC)² = (CG)(CV)

b² = 12·27 = 324 . . . . substitute known values

b = √324 . . . . . . . . . . take the square root

b = 18

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Q1 Q2 - Using ratios Complete the table for this pattern. 8

Natalka [10]

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5 0

2 years ago

Please help me to answer this

Igoryamba

A. 1 = 3/3 = 4/4 = 52/52 = x/x

B. 5 = 10/2 = 15/3 = 7.5/1.5 = 120/24 = 5a/a

All the ratios must equal each other

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3 years ago

A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

$k \approx 0.44$

8 0

3 years ago

Is the answer A,B,C or D.

algol13

Answer:

B= -3

Step-by-step explanation:

Thats when the graph is at it's lowest

8 0

2 years ago

A lake has a small patch of lily pads and every day the patch grows to double its size. It takes 32 days for the patch to cover

S_A_V [24]

Answer:

It took 31 days for the patch to cover half the lake

Step-by-step explanation:

The patch grows to double its size everyday

the patch completely covers the lake in 32 days

Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.

Therefore, the the patch covered half the lake on the 31st day, i.e it took 31 days for the patch to cover half the lake

6 0

2 years ago