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3 years ago

The complement of an angle is 53°. What is the measure of the angle?

1 answer:

3 0

The complement of
53
°
53
°
is the angle that when added to
53
°
53
°
forms a right angle (
90
°
90
°
).
90
°
−
53
90
°
-
53
Subtract
53
53
from
90
90
.
379
°

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A regular hexagon ABCDEF is shown……work out the size of angle x

denpristay [2]

Answer:

x=30

Step-by-step explanation:

Since this a regular hexagon, each angle measure is congruent.

A hexagon interior angles add to be

( ${6 - 2}) \times 180 = 720$

However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so

Angle A=120.

So using the triangle interior theorem, angle b and f must add up to 180.

$120 + x + y = 180$

However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.

Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so

$x = y$

$120 + 2x = 180$

$2x = 60$

$x = 30$

7 0

3 years ago

Read 2 more answers

A new DVD is available for sale in a store one week after its release. The cumulative revenue,

ratelena [41]

Answer:

f(2) = $180.22

f'(2) = $130.00/week

f'(2)/f(2) = 72.13%

Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by:

$f(t)=260ln(t)$

After two weeks (t=2), the revenue from sales is:

$f(2)=260ln(2)\\f(2) = \$180.22$

The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

$f'(t)=\frac{d}{dt} 260ln(t)\\f'(t) = \frac{260}{t}\\f'(2) = \frac{260}{2}=\$130.00/week$

The relative rate of change is:

$\frac{f'(2)}{f(2)}=\frac{130}{180.22}=0.7213=72.13\%$

Therefore, Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.

5 0

3 years ago

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

vitfil [10]

Answer:

Step-by-step explanation:

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2 years ago

Suppose Paul went to the store and bought 4 peaches to add to the basket.Write two new numerical expressions to represent the to

sasho [114]

Answer:

1. n + 4

2. x(n) + 4

Step-by-step explanation:

The two solutions were arrived at based on the following :

1. The total number of fruit, irrespective of the kind or type.

In this case, let the number of fruit be n.

Adding 4 peaches gives: n + 4 fruits.

2. The second expression takes into account the peaches only.

This times around, let the total fruits be n.

The number of peaches in the basket can be given as a fraction. Let the fraction be x

The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: xn

However, 4 peaches are added, therefore, the total number will be xn+4

This figure denotes the number of peaches in the basket.

4 0

3 years ago

Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec

slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

The standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

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3 years ago