If f(x)= (3+x)/(x-3) what is the f(a+2)

Answer:

-64

Step-by-step explanation:

Given:

m∠EAC = 120° and m∠HBI = 84°.

To find:

The measure of ∠BCA.

Solution:

If two lines intersect each other then the vertically opposite angles are equal.

[tex]\angle HBI \cong \angle ABC[/tex]             (Vertically opposite angles)

[tex]m\angle HBI = m\angle ABC[/tex]    

[tex]84^\circ = m\angle ABC[/tex]              ...(i)

If two angles forms a linear pair, then  their sum is 180 degrees.

[tex]m\angle BAC+m\angle EAC=180^\circ[/tex]                 (Linear pair)

[tex]m\angle BAC+120^\circ=180^\circ[/tex]

[tex]m\angle BAC=180^\circ-120^\circ[/tex]

[tex]m\angle BAC=60^\circ[/tex]              ...(ii)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

[tex]m\angle ABC+m\angle BAC+m\angle BCA=180^\circ[/tex]                 (Angle sum property)

[tex]84^\circ+60^\circ+m\angle BCA=180^\circ[/tex]          [Using (i) and (ii)]

[tex]144^\circ+m\angle BCA=180^\circ[/tex]

[tex]m\angle BCA=180^\circ-144^\circ[/tex]

[tex]m\angle BCA=36^\circ[/tex]

Therefore, the correct option is C.

Answer:

0.5185 kg are needed to make 2 kg of cat food

Step-by-step explanation:

Chicken bones and chicken pieces in the ratio 20:7

This means that [tex]\frac{20}{20 + 7} = \frac{20}{27}[/tex] of the total weight is of bones and [tex]\frac{7}{27}[/tex] is of pieces.

What weight of chicken pieces is needed to make 2 kg of cat food?

7/27 of 2kg. So

(7/27)*2 = 14/27 = 0.5185 kg

0.5185 kg are needed to make 2 kg of cat food

Answer:

wait ill work this out for you

Step-by-step explanation:

Answer:

y <x+4

y >-3x - 2

Answer:

The Moon's orbit around Earth has a sidereal period of 27.3 days. During each synodic period of 29.5 days, the amount of visible surface illuminated by the Sun varies from none up to 100%, resulting in lunar phases that form the basis for the months of a lunar calendar. The Moon is tidally locked to Earth, which means that the length of a full rotation of the Moon on its own axis causes its same side (the near side) to always face Earth, and the somewhat longer lunar day is the same as the synodic period. That said, 59% of the total lunar surface can be seen from Earth through shifts in perspective due to libration.[17]

The most widely accepted origin explanation posits that the Moon formed about 4.51 billion years ago, not long after Earth, out of the debris from a giant impact between the planet and a hypothesized Mars-sized body called Theia. It then receded to a wider orbit because of tidal interaction with the Earth. The near side of the Moon is marked by dark volcanic maria ("seas"), which fill the spaces between bright ancient crustal highlands and prominent impact craters. Most of the large impact basins and mare surfaces were in place by the end of the Imbrian period, some three billion years ago. The lunar surface is relatively non-reflective, with a reflectance just slightly brighter than that of worn asphalt. However, because it has a large angular diameter, the full moon is the brightest celestial object in the night sky. The Moon's apparent size is nearly the same as that of the Sun, allowing it to cover the Sun almost completely during a total solar eclipse.

Answer:

They travelled the same distance and they spent the same amount of time from the 225 marker to 230 marker.

Step-by-step explanation:

Given

See attachment for graph

Required

The relationship between distance and time travelled by Kevin and Carrie

The straight line represents Kevin's journey while the curve represents Carrie's

From the graph, we can see that the straight line and the curve both start at the origin (0,0) and they both end at the same point (17,5)

Point (17, 5) represents the 230 marker (i.e. 225 + 5 - 230)

Since the line and the curve meet at this point, then they travelled the same distance and they spent the same amount of time.

Answer:

Step-by-step explanation:

draw any angle which has like a edge inside it. like anything.

См. картинку во вложении, ответ отмечен красным цветом.

Answer:

3mg per BID vistrail

Step-by-step explanation:

Answer:

[tex] \frac{5\pi}{3} = 300deg[/tex]

360-300=60

cos(60)=1/2 that is the answer

Answer:

Step-by-step explanation:

Perpendicular means opposite reciprocal as far as the slope goes. The thing we need to know without prompting is that the given slope of x = -2 is a perfectly vertical line with an undefined slope, and that a line perpendicular to this one would have to be a perfectly horizontal line. Slopes of perfectly horizontal lines is always 0. Therefore, filling in the point-slope form of a line using the slope of 0 and the given point:

y - 6 = 0(x -(-5)) and

y - 6 = 0(x + 5) and

y - 6 = 0x + 0 so

y - 6 = 0 and

y = 6.

Answer:

Step-by-step explanation:

Because 5x - 1 = 55 - 1 = 24 = y

Answer:

Step-by-step explanation:

[tex]( 5 \: \: \: \: \: \: \: \: 24) \\ replace \: \: \: x \: \: \: and \: \: y \\ y = 5x - 1 \\ 24 = 5 \times 5 - 1 \\ 24 = 25 - 1 \\ 24 = 24[/tex]

Answer:

there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.

Step-by-step explanation:

Given the data in the question;

tank contains 1000L of brine with 20kg of dissolved salt, Pure water enters the tank at a rate of 15L/min.

How much salt is in the tank after t minutes.

Now,

let x represent the amount of salt after t minutes,

so

x(0) = 15

dx/dt = rate in - rate out

Now, since the water entering is pure, the rate in is 0

rate out will be; x/1000 × 10 kg

∴

dx/dt = -x/100

[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]dt

∫[tex]\frac{1}{x}[/tex]dx =  -[tex]\frac{1}{100}[/tex]∫1dt + c

lnx =  -[tex]\frac{t}{100}[/tex] + c

Now since x(0) = 15

ln15 = c

lnx =  -[tex]\frac{t}{100}[/tex] + ln15

x = [tex]e^{ \frac{-t}{100} + ln15[/tex]

x = 15[tex]e^{ \frac{-t}{100}[/tex]

Therefore, there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.

Answer:

19

Step-by-step explanation:

4

[tex]4 + 5(3) = 13[/tex]

Answer:

26.67

Step-by-step explanation:

Answer:

12 PENCILS

Step-by-step explanation:

1.50 / 2 = .75

9.00/0.75 = 12

Answer:

a) 84th percentile.

b) The 25th percentile is of 67 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches.

This means that [tex]\mu = 69, \sigma = 3[/tex]

Such a man that is 6 feet tall is at the percentile of this height distribution.

6 feet = 6*12 inches = 72 inches. So this percentile is the p-value of Z when X = 72. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{72 - 69}{3}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84, so 84th percentile.

What is the 25th percentile, to the nearest inch

X when Z has a p-value of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 69}{3}[/tex]

[tex]X - 69 = -0.675*3[/tex]

[tex]X = 67[/tex]

The 25th percentile is of 67 inches.

Answer:

lỗi text rồi. ko đọc dc :))

Answer:

22.36 feet

Step-by-step explanation:

30^2=20^2+x^2

900=400+x^2

900-400=x^2

x^2= 500

x=√500

x=23.36

Answer:

25

Step-by-step explanation:

Answer:

The graph has no y intercepts

Step-by-step explanation:

Given

[tex]y = \frac{2}{x} - 1[/tex]

Required

True about the graph

The graph has no y intercepts because this would mean:

[tex]y = \frac{2}{0}-1[/tex]

2/0 is undefined. Hence, the graph has no y intercept.

Let's see what we can fill in here.

<ACE = 130

180 - 50 = 130

Now that we have two sides and an included angle, we can use the Law of Cosines.

Law of Cosines: c^2 = a^2 + b^2 - 2ab(cos(C))

Let's plug in what we know and solve!

c^2 = 40^2 + 38^2 - 2(40)(38)(cos(130))

R = 70.69706

Hope this helps!! :)

Answer:

R =70.6970629

Step-by-step explanation:

We need to use the law of cosines since we have 2 sides and the included angle

The angle inside is 180 -50 = 130

c^2 = a^2 + b^2 − 2ab cos(C)  where c is the side opposite the unknown angle

R^2 = 40^2 + 38^2 - 2*40 *38 cos (130)

R^2 = 1600 -1444-3040cos 130

R^2 = 3044-3040cos130

R^2 =4998.074333

Taking the square root of each side

sqrt(R^2) = sqrt( 4998.074333)

R =70.6970629

Answer:

94

Step-by-step explanation:

Answer:

The answer is 94.

Step-by-step explanation:

The answer is positive because a negative divided by a negative equals a positive.  

Answer:

I think 140

Step-by-step explanation:

180=x+30+10

x=180-40

x=140

Answer:

1

Step-by-step explanation:

a it is 1 because

can u see perpedicular symbol

Answer:

1 line.

A perpendicular line is a line that meets another line and forms a 90° angle.

If you look at the diagram, only the middle line forms a 90° angle when it meets line AB

Answer:

y=-6y-13

Step-by-step explanation:

If x=2y+3 and y=-3x-4, you can plug x's value into y=-3x-4:

y=-3(2y+3)-4

Then solve.

y=-6y-9-4

Simplify.

y=-6y-13

Answer:

Area = 105.6 square cm

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]

Answer:

Step-by-step explanation:

incomplete question.

Answer:

900 centimetres

Step-by-step explanation:

9x100=900