Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandths place (3 decimal places).

Answer:

A

Step-by-step explanation:

If you put your function in a graphing calculator you will get (6,0)

Answer:

D. tan 0 = 8/15 and A. sec 0 = 17/15

Step-by-step explanation:

Cos 0 = adjacent/ hypotenus

Adj = 15 and Hyp =17

Using pythagoras theory

Opp^2 = 17^2 - 15^2

Opp^2 = 289 - 225

Opp^2 = 64

Therefore Opp = 8 which is the square root of 64

tan 0 = opp/adj

tan 0 = 8/15

Sec 0 is the multiplicative inverse of cos 0

Answer:

27.44 square cm

Step-by-step explanation:

If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].

Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]

Given side length 4 cm and 7 cm

angle between them = 100°

value of sin(100°) = 0.98

Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44

Thus, area of given parallelogram is 27.44 square cm.

Answer:

Rate r = 2500 cm^3 per minute.

the volume of water that flows from the tap each minute is 2,500 cm^3

Step-by-step explanation:

Given;

Dimension of fish tank = 40 cm by 25 cm by 24 cm

Volume of tank V = l×b×h = 40×25×24 cm^3

V = 24000 cm^3

From the question;

The fish tank is 5/8 full in 6 minutes

The volume of water in the tank in 6 minutes is;

V(6) = 5/8 × V = 5/8 × 24000

V(6) = 15000 cm^3

The rate of flow of water from tap per minute is;

Rate r = V(6) ÷ time

r = V(6) ÷ 6 minutes

r = 15000 ÷ 6

r = 2500 cm^3 per minute.

the volume of water that flows from the tap each minute is 2,500 cm^3

Answer:

2:30

Step-by-step explanation:

58+32=90

90-60=30

2:30 is the answer

Answer: she will get home at 2:30

Step-by-step explanation:

If you start at 1:32 then take 28 min from 58 then you get 2:00

Finally add 30 yo that and get 2:30.

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [- 1, 1 ] , thus

f(b) = f(1) = 5 ← from graph

f(a) = f(- 1) = - 5 ← from graph , thus

average rate of change = [tex]\frac{5-(-5)}{1-(-1)}[/tex] = [tex]\frac{10}{2}[/tex] = 5 → C

Answer:

5

Step-by-step explanation:

there are 5 circle patches on the quilt

Answer:

mean

Step-by-step explanation:

9, 10, 10, 10, 11, 12, 12, 13, 15

mean = 11.3  is the sum of the number divided by number of terms

median=11 is the middle value

range= 6 is the difference between the largest and smallest amount

mode=10 is the term that occurs the most

Answer:

The mean

Step-by-step explanation:

Add all the numbers together and divide by the amount of numbers to get the mean, in this case it is 105/9. The mean is 11 and a third.

The median is the middle of the set of numbers. I usually go about getting a median by sorting the numbers from smallest to largest and then removing a number from each end until there are only one or two numbers left. In this case, there is one number remaining: 11. The median is 11.

The range is pretty simple, it's just the largest number of the group subtracted by the smallest. In this case it is 15-9. The range is 6.

The mode is the most frequently occurring number in the group. Just count up how many times each number appears, pick the one with the most, and you have your answer. The mode is 10.

The question is asking which one of these is the largest. That would be the mean, 11 and a third.

Answer:

Hello!

____________________

Your answer would be (C).

Hope this helped you!

Answer:

Step-by-step explanation:

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

19.8 + 2t = 50.2

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

Hope this helped,

Kavitha

Answer:

t = 15.2 miles

Step-by-step explanation:

First, let's add the top and bottom numbers together.

7.8 + 12 = 19.8 mi

Next, we subtract that from 50.2 to get the combined value of both t's.

50.2 - 19.8 = 30.4 mi

Finally, we can divide 30.4 by 2 to get the value of t.

30.4 ÷ 2 = 15.2 mi

To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4

30.4 + 12 + 7.8 = 50.2

Answer:

The answer is explained below

Step-by-step explanation:

Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = [tex]\frac{4}{3}\pi r^3[/tex], this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.

As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.

[tex]V(\frac{5}{7} )[/tex] is equal to the volume of the ball when the radius of the ball is [tex]\frac{5}{7}[/tex]. Therefore:

[tex]V(\frac{5}{7} )=\frac{4}{3} \pi *(\frac{5}{7} )^3=1.53\ unit^3[/tex]

Answer:

x          |          y

− 2                − 6

− 1                − 3

0                    0

1                     3

2                    6

hope this helps!

The table of values for the equation y = 3x - 1, is attached.

x y

-2 -7

-1 -4

0 -1

1 2

2 5

3 8

Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.

We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.

To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.

We put all these values of y, for the corresponding value of x in the table. The completed table is attached.

Learn more about equations at

https://brainly.com/question/4344214

#SPJ2

Answer:

65

Step-by-step explanation:

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

[tex] = \frac{1}{2} \times 10 \times 13 = 65[/tex]

Answer:4x2−6x−4

Step-by-step explanation:

(4x+2)(x−2)

=(4x+2)(x+−2)

=(4x)(x)+(4x)(−2)+(2)(x)+(2)(−2)

=4x2−8x+2x−4

=4x2−6x−4

Answer:

(4x+2)(x-2)

= 4x(x-2) +2(x-2)

=4x^2-8x + 2x-4

=4x^2 - 6x -4

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

Answer:

the total amount is £756.

Step-by-step explanation:

given, monthly charge =£16

rate per min of call= £13 per min(150free calls )

rate per texts= £15per text (150 free text)

now, total calls made =170calls

total text = 180 text

now, minimum charge for 150 calls is free

so, left calls = 20 calls

charge for 20 calls= 20×£13

therefore, the charge for 20 calls is £260

now, for text

no. of text = 182-150=32

now, charge for 32 text =£ 15× 32

therefore the charge of 32 text is £ 480.

now, total amount = monthly charge + extra call charge+ extra text charge.

or, total amount = £16+£260+£480

=£756

therefore, the total amount is £756.

hope it helps...

Answer:

Is it B?

Step-by-step explanation:

ab^2 + 2a^2b + 4a + 2b

ab(b+2a) +2(2a+b)

ab(b+2a) +2(b+2a)

(ab+2)(b+2a)

that's why ab+2 is the answer.

Answer:

The postulates are as follows:

Answer:

x >2

Step-by-step explanation:

2x-3> 11 - 5x

Add 5x to each side

2x+5x-3> 11 - 5x+5x

7x -3 > 11

Add 3 to each side

7x-3+3 > 11+3

7x >14

Divide by 7

7x/7 > 14/7

x >2

Answer:

its domain

Step-by-step explanation:

Answer:

i believe it is A- range.

Step-by-step explanation:

i took the quiz

Answer:

Center : (-2, 7)

Radius : 6

Step-by-step explanation:

If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.

Answer:

I do not know for sure but i think it might be B.

Step-by-step explanation:

Im not the smartest so yeah hopefully that is the answer you are looking for tho :D

To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out

In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :

Answer and Explanation:

The given problem is a kind of a riddle. It is given that the total of two US coins is

30

cents.

One is not a nickel, But the other one can be a nickel=

5

cents. So, the first one coin is a quarter=

25

cents. Which gives the total

30

cents.

Therefore, the two coins are a nickel and a quarter.

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is  0.10.

Since  The type 2 error should be committed at the time when the alternative hypothesis should be rejected

So, it can be like

Power = 1 - P(type 2 error)

Given that power = 0.90 ;

P(type 2 error) = probability of committing a type 2 error.

Now

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

Learn more about probability here: https://brainly.com/question/10695144

Answer:

Sin A = 3/5

Sin C = 4/5

Cos A = 4/5

Cos C = 3/5

Step-by-step explanation:

Sin x = Opposite/Hypotenuse

Cos x = Adjacent/Hypotenuse

Step-by-step explanation:

f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8

g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4

Answer:

The answer to this is y=4

Step-by-step explanation:

The answer is the point at which the line intercepts the y-axis.

Hope this helped. :)

Answer:  The y intercept is 4.

Step-by-step explanation:

The y intercept of a line is when the x coordinate is 0. So looking ate the line you could see that  y is 4 when x is 0.  Or in common terms we will write it as  (0,4) .So the y intercept is 4

Answer:

Kindly check attached picture for number line.

Step-by-step explanation:

Total time Allen would love to complete race is less than 5.5 hours

Time elapsed = 3 hours

Inequality representing the problem above :

3 + t < 5.5

Where t will mean the time left.

Solving for t

t < 5.5 - 3

t < 2.5

Time left is < 2.5 hours.

Answer:

Open Circle to the left from 2.5

Step-by-step explanation:

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

  [tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

  [tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

 Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]

 m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]

 m∠DBA = 45.64°

 Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

                  m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

  Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])

                           = 35×46Sin(12.18)

                           = 339.68 units²

   Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°

                            = 46×27×(0.4994)

                            = 620.25 units²

   Area of ABCD = 339.68 + 620.25

                            = 959.93 units²

Answer:

4 liters.

Step-by-step explanation:

From the question above, we are required to find the amount of water that should be added to a sugar and water solution.

Let x represent the amount of water that would be added by Sharon.

2×36/100= 12/100(2+x)

2×0.36= 0.12(2+x)

Cross multiply both sides

0.72= 0.24+0.12x

Collect the like terms

0.72-0.24= 0.12x

0.48= 0.12x

Divide both sides by the coefficient of x which is 0.12

0.48/0.12= 0.12x/0.12

x= 4

Hence Sharon should add 4 liters of water to 2liters of sugar and water solution that is 36% sugar to form a solution of 12% sugar.

Answer:

4 liters is the correct answer

Step-by-step explanation: