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crimeas [40]
2 years ago
9

The equation for the area of a circle is given.

Mathematics
1 answer:
Helga [31]2 years ago
5 0

A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi

Answer: 9\pi

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If tan = 12/5 and cos = -5/13, then what is sin?
Over [174]

9514 1404 393

Answer:

  sin -12/13

Step-by-step explanation:

You can use the identity ...

  tan = sin/cos

to solve for sine:

  sin = cos·tan

  sin = (-5/13)(12/5) =

  sin -12/13

4 0
3 years ago
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simp
Alexeev081 [22]

Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

5 0
3 years ago
Please guys I am begging you to help me! This was due yesterday and I need help! SO please help!
jeka57 [31]

Answer:

  • Q3. 12 units
  • Q4. 6.33 units
  • Q5. 66.19°

Step-by-step explanation:

Q3

DE and DF are legs and EF is hypotenuse

  • DE = √EF² - DF²
  • DE = √13² - 5² = √169 - 25 = √ 144 = 12
  • DE = 12 units

Q4

PR is opposite side of angle Q and RQ is adjacent side

  • tan 54 = PR/RQ
  • tan 54 = PR / 4.6
  • PR = 4.6tan 54
  • PR = 6.33 units

Q5

As previous question, using tan as BC is opposite and AC is adjacent leg of angle A

  • tan A = 6.8/3
  • tan A = 2.266
  • A = arctan (2.266)
  • A = 66.19°
8 0
3 years ago
The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop
NikAS [45]

Answer:

  • p(t) = 100×1.0153^(12t)
  • 1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0
2 years ago
Read 2 more answers
What is 15% of 135, show your work
SIZIF [17.4K]

Answer:

20.25

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 135.

Step 2: We represent the unknown value with $x$

.

Step 3: From step 1 above,$135=100\%$

.

Step 4: Similarly, $x=15.\%$

.

Step 5: This results in a pair of simple equations:

$135=100\%(1)$.

$x=15.\%(2)$

.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{135}{x}=\frac{100\%}{15.\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{135}=\frac{15.}{100}$

$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is

sorry if it took to long have a great day and brainliest is appreciated!!!!!

5 0
3 years ago
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