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3 years ago

An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Gennadij [26K]3 years ago

3 0

Answer:

The angles are 69.2 degrees and 20.8 degrees

Step-by-step explanation:

Complementary angles, when added together, = 90°

We’ll call the first unknown angle a and the second angle b

b = a - 48.4

a + b = 90

So let’s substitute in for b in the second equation:

a + a - 48.4 = 90

2a - 48.4 = 90

2a = 138.4

a = 69.2

69.2 - 48.4 = 20.8 = b

Now, does a + b = 90?

69.2 + 20.8 = 90

Lmk if you have questions

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A population of insects increases at the rate of 200 10t 13t2 what is the change in the population of insects between day 0 and

RUDIKE [14]

Answer:

762 days

Step-by-step explanation:

Given

$Rate = 200 + 10t + 13t^2$

Let the rate be R.

So the rate change with time is represented as:

$\frac{dR}{dt} = 200 +10t + 13t^2$

So:

$dR = (200 + 10t + 13t^2)\ dt$

To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3

i.e.

$dR = (200 + 10t + 13t^2)\ dt$ becomes

$\int\limits^3_0 {dR} \, =\int\limits^3_0 (200 + 10t + 13t^2)\ dt$

$R =\int\limits^3_0 (200 + 10t + 13t^2)\ dt$

Integrate

$R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0]$

Solve for R by substituting 0 and 3 for t

$R = (200*3 + \frac{10*3^2}{2} + \frac{13*3^3}{3}) - ( 200*0 + \frac{10*0^2}{2} + \frac{13*0^3}{3})$

$R = (200*3 + \frac{10*9}{2} + \frac{13*27}{3}) - (0 + \frac{10}{2} + \frac{0}{3})$

$R = (200*3 + 5*9 + 13*9) - (0)$

$R = 600 + 45 + 117 - 0$

$R =762$

<em>The population of insect between the required interval is 762</em>

4 0

3 years ago

13. A packet of sweets costs $2.45.

Margaret [11]

Answer:

$2.45*4/7=$1.4

So felipe gets $1.4

Step-by-step explanation:

$2.45*4/7=$1.4

So felipe gets $1.4

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3 years ago

Can someone help me with question 6 please

SIZIF [17.4K]

A) 4a+3w
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2 years ago

Read 2 more answers

in class you earned 10 participation points one day, -14 the next, and 6 the following day. how many points did you earn that we

Katena32 [7]

Answer:

2 points

Step-by-step explanation:

10-14=-4

-4+6=2 or

10+6=16

16-14=2

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3 years ago

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act

ira [324]

Answer:

The standard deviation would have to be 0.05.

Step-by-step explanation:

We can solve this problem using the 68-95-99.7 rule for normal distributions:

The rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ?

This means that 2 standard deviations would need to be within 0.1 of the mean. So

$2\sigma = 0.1$

$\sigma = \frac{0.1}{2}$

$\sigma = 0.05$

The standard deviation would have to be 0.05.

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3 years ago