Find the measure of angle d when angle a is 128 angle b is 126 and angle c is 54

Answer:

V ≈ 1436.03 cm³

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³. r represents the radius, which is 7 cm since the diameter is 14 cm, so plug 7 into the equation as r. Also remember that the question states to use 3.14 for pi/π.

V = [tex]\frac{4}{3}[/tex] (3.14)(7)³

V ≈ 1436.03 cm³

Answer:

z= 56°

hope u understood it...

Answer:

Z=56

Step-by-step explanation:

Because i said so

Answer:

2/10 for Rebecka and either 2/9 or 1/9 for Aaron depending on if Rebecka selects a poodle or not.

Step-by-step explanation:

do some math

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

[tex]P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)[/tex]

[tex]P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )[/tex]

[tex]P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )[/tex]

[tex]P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})[/tex]

[tex]P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})[/tex]

From Z tables:

[tex]P(31000 < X <33000) = 0.9996 -0.8665[/tex]

[tex]P(31000 < X <33000) = 0.1331[/tex]

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Answer:  [tex]\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}[/tex]

Step-by-step explanation:

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

[tex]375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}[/tex]

Next, let's find a₁

[tex]a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625[/tex]

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

[tex]S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}[/tex]

Answer: Apothem

Step-by-step explanation: Half of an octagon is called an apothem

The dashed line shown in the regular octagon is called an apothem.

Octagon is an eight-sided two-dimensional geometrical figure. An octagon consists of 8 interior angles and 8 exterior angles. The sum of the interior angles of an octagon is 1080°, and the sum of its exterior angles is 360°.

Given is a regular octagon, we need to determine the asked part of the given octagon is called what,

So, the part asked is called the apothem.

A line from the center of a regular polygon at right angles to any of its sides is called an apothem.

Hence, the dashed line shown in the regular octagon is called an apothem.

Learn more about octagon, click;

https://brainly.com/question/30327829

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Answer:

1.88

Step-by-step explanation:

8-2√5=3.527864045

square root of 3.527864045=1.87826090972

the question will probably want it to 2d.p (decimal places) which means the answer would be 1.88

Answer:

The square root of 8 - 2√5 is

[tex] \sqrt{4 + \sqrt{11} } \: - \sqrt{4 - \sqrt{11} } [/tex]

Step-by-step explanation:

To find the square root

8-2√5 must be in the form √a - √b where a > b

√ 8 - 2√5 = √a - √b

Square both sides

8 - 2√5 = (√a - √b)²

That's

8 - 2√5 = (a + b) - 2√ab

Since the two surd expressions are equal we can equate them

That's

8 = a + b ........ 1

a = 8 - b ........ 2

2√5 = 2√ab

Simplify

Divide both sides by 2

√5 = √ab

square both sides

We have

5 = ab ....... 3

Substitute a = 8 - b into equation 3

5 = ( 8 - b)b

5 = 8b - b²

b² - 8b + 5 = 0

After solving

b = 4 + √ 11 or 4 - √ 1

Since b is less than a

b = 4 - √11

a = 4 + √11

So the square root of 8 - 2√5 is

[tex] \sqrt{4 + \sqrt{11} } \: - \sqrt{4 - \sqrt{11} } [/tex]

Hope this helps you.

Answer:

Step-by-step explanation:

An EHT is an Environmental Health Technician. Integration (Integral Calculus, if that's what you mean) will be applied to an Environmental Health Technician's job in the following way:

1. In the analysis or examination of samples from an environment, such as soil sample, water sample, domestic waste sample, septic waste sample, etc.

Essentially, Integral Calculus (and other forms of Maths) must be studied, before a person is able to be an Environmental Health Technician.

Degrees in any of the following fields are a necessary criterion;

- Applied Science

- Public Health

- Environmental Science

- Biochemistry

- Health Data Analysis

Answer:

a. 1.23

b. 0.23

c. 7.96

Step-by-step explanation:

Use laws of logarithms:

log(a*b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

log(a^b) = b*log(a)

log_k(k) = 1

a. log_a(15) = log_a(3*5) = log_a(3) + log_a(5) = 0.50 + 0.73 = 1.23

b. log_a(5/3) = log_a(5) - log_a(3) = 0.73 - 0.50 = 0.23

c. log_a(8*a^7) = log_a(8) + log_a(a^7) = log_a(2^3) + log_a(a^7)

  = 3log_a(2) + 7log_a(a) = 3(0.32) + 7(1) = 7.96

Answer:

5(2a -5 + b)

Step-by-step explanation:

(10a - 25 + 5b) = 5( 2a - 5 + b)

5(b +  2a  - 5) = 5(2a - 5 + b)

Answer:

5(2a -5 + b)

Step-by-step explanation:

Answer:

B. Multiply 6 by 3

Step-by-step explanation:

Do the opposite order of what Hannah did. The last step that she did was divide by 3, so you would multiply the result (6) with 3:

B. Multiply 6 by 3

Your step by step for getting the number Hannah started with:

First, multiply 6 with 3:

6 x 3 = 18

Next, subtract 4:

18 - 4 = 14

Next, divide by 2:

14/2 = 7

Hannah started with the number 7.

~

Answer: Hannah started with 7.

B. Multiply 6 by 3

Explanation:

Let the number be y

2 × y = 2y

(2y + 4)/3 = 6

2y + 4 = 6×3 = 18

2y + 4 = 18

2y = 18 - 4 = 14

y = 14/2 = 7

To solve the problem backward, the first step is to multiply 6 by 3.

Answer:

R = V₀² Sin 2θ₀/g

Step-by-step explanation:

Consider a projectile motion with following properties:

R = range of projectile

V₀ = Launch Velocity of Projectile

θ₀ = Launch Angle

V₀ₓ = V₀ Cos θ₀ =  x - component of launch velocity

V₀y = V₀ Sin θ₀ =  y - component of launch velocity

t = time to reach maximum height

T = 2t = total time of flight

First we use 1st equation of motion in vertical direction to find value of "t":

Vfy = V₀y + gt

where,

Vfy= final vertical velocity at highest point = 0 m/s

g = -g (for upward motion)

V₀y = V₀ Sin θ₀

Therefore,

0 = V₀ Sin θ₀ - gt

t = V₀ Sin θ₀/g

Now the total time of flight will be:

T = 2t = 2 V₀ Sin θ₀/g

Since, the horizontal velocity of the projectile remains uniform throughout the motion. Therefore:

x - x₀ = V₀ₓ T

where,

x - x₀ = R = Range of Projectile

V₀ₓ = V₀ Cos θ₀

Therefore,

R = (V₀ Cos θ₀)(2 V₀ Sin θ₀/g)

R = V₀² (2 Sin θ₀Cos θ₀)/g

since, 2 Sin θ Cos θ = Sin 2θ

Therefore,

R = V₀² Sin 2θ₀/g

Answer:

The probability that a truck drives between 86 and 125 miles in a day.

P(86≤ X≤125) = 0.5890 miles

Step-by-step explanation:

Step(i):-

Given mean of the Population = 100 miles per day

Given standard deviation of the Population = 23 miles per day

Let 'X' be the normal distribution

Let x₁ = 86

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{86-100}{23} =-0.61[/tex]

Let x₂= 86

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{125-100}{23} = 1.086[/tex]

Step(ii):-

The probability that a truck drives between 86 and 125 miles in a day.

P(86≤ X≤125) = P(-0.61 ≤ Z≤ 1.08)

                      = P(Z≤ 1.08) - P(Z≤ -0.61)

                      = 0.5 +A(1.08) - ( 0.5 - A(-0.61))    

                      = A(1.08) + A(0.61)             ( A(-Z)=  A(Z)

                      = 0.3599 + 0.2291

                     = 0.5890

Conclusion:-

The probability that a truck drives between 86 and 125 miles in a day.

P(86≤ X≤125) = 0.5890  miles per day

Answer:

-$3576

Step-by-step explanation:

Depreciation using double declining method=100%/useful life*2

Depreciation using double declining method=100%/10*2=20%

2017 depreciation=$60,000*20%=$12000

2018 depreciation=($60,000-$12000)*20%=$9600

2019 depreciation=($60,000-$12000-$9600 )*20%=$7680

2020 depreciation=($60,000-$12000-$9600-$7680 )*20%=$6144

carrying value in 2021=$60000-$12000-$9600 -$7680-$6144 =$24576

Loss on disposal of machine=$21,000-$24576  =-$3576

Answer:

3x / 2 + 9 = 5

3x / 2 = -4

3x = -8

x = -8/3

(2 + v) / 3 = 9

2 + v = 27

v = 25

32 / (d - 2) = 10

32 = 10 * (d - 2)

3.2 = d - 2

d = 5.2

2p - 4 = 3p / 2

2 * (2p - 4) = 3p

4p - 8 = 3p

p - 8 = 0

p = 8

3b / 2 = 12

3b = 24

b = 8

Answer:

m∠3  = 115 degrees

Step-by-step explanation:

angle 6 and angle 8 are on a straight line

we know that sum of angles on straight line is 180

therefore

m∠8 = x+5

m∠6 +  m∠8 = 180

2x - 5 + x+5 = 180

=> 3x = 180

=> x = 180/3 = 60

Thus,

m∠6 = 2x-5 = 2*60 -  5 = 115

we know that for two parallel lines cut by a transversal

alternate opposite angles are equal

m∠6  and m∠3 are alternate opposite angles

thus

m∠6  = m∠3  = 115 (answer)

Answer:

(B ) .  34.2cm^2

Step-by-step explanation:

[tex]A = \frac{\alpha }{360} \times \pi r^2\\\alpha=20 \\r = 14\\\\A =\frac{20}{360} \times 22/7\times 14^2\\A = 1/18 \times4312/7\\A =34.2 cm^2[/tex]

Answer:

1 can sing but cannot play keyboard.

Step-by-step explanation:

There are six members in the rock band. We need to identify how many person can sing, play guitar and play keyboard. To identify this we will find out number of member for each activity,

Total 6 members

4 can play guitar

3 can pay keyboard

All singers play guitar but one guitarist cannot sing.

There will be 1 singer who cannot play keyboard.

Answer:

2

Step-by-step explanation:

[tex]\sqrt{((\sqrt{2} - 0)^2 + (0 - (-\sqrt{2}))^2)[/tex]

Answer:

sinR = 0.7184

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

sin∅ = opposite/hypotenuse

Step 1: Find missing leg length

16² + b² = 23²

b² = 23² - 16²

b = √273

Step 2: Find sinR

sinR = √273/23

sinR = 0.718379

Answer:

69.5309950592 cm²

Step-by-step explanation:

Area of Square:

Area = [tex]Length * Length[/tex]

Area = 18*18

Area = 324 square cm

Area of circle:

Diameter = 18 cm

Radius = 9 cm

Area = [tex]\pi r^2[/tex]

Area = (3.14)(9)²

Area = (3.14)(81)

Area = 254.469004941 square cm

Area of Shaded area:

=> Area of square - Area of circle

=> 324 - 254.469004941

=> 69.5309950592 cm²

Question:

A silver coin is dropped from the top of a building that is 64 feet tall. the position function of the coin at time t seconds is represented by

s(t) = -16t² + v₀t + s₀

Determine the position and velocity functions for the coin.

Answer:

position function: s(t) = (-16t² + 64) ft

velocity function: v(t) = (-32t) ft/s

Step-by-step explanation:

Given position equation;

s(t) = -16t² + v₀t + s₀                ---------(i)

v₀ and s₀ are the initial values of the velocity and position of the coin respectively.

(a) Since the coin is dropped, the initial velocity, v₀, of the coin is 0 at t = 0. i.e

v₀ = 0.  

Also since the drop is from the top of a building that is 64 feet tall, this implies that the initial position, s₀, of the coin is 64 ft at t=0. i.e

s₀ = 64ft

Substitute the values of v₀ = 0 and s₀ = 64 into equation (i) as follows;

s(t) = -16t² + (0)t + 64    

s(t) = -16t² + 64

Therefore, the position function of the coin is;

s(t) = (-16t² + 64) ft

(b) To get the velocity function, v(t), the position function, s(t), calculated above is differentiated with respect to t as follows;

v(t) = [tex]\frac{ds(t)}{dt}[/tex]

v(t) = [tex]\frac{d(-16t^2 + 64)}{dt}[/tex]

v(t) = -32t + 0

v(t) = -32t

Therefore, the velocity function of the coin is;

v(t) = (-32t) ft/s

Answer:

The 99% confidence interval for the population mean is between 140.54 minutes and 151.46 minutes

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.576[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.576*\frac{9}{\sqrt{18}} = 5.46[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 146 - 5.46 = 140.54 minutes

The upper end of the interval is the sample mean added to M. So it is 146 + 5.46 = 151.46 minutes

The 99% confidence interval for the population mean is between 140.54 minutes and 151.46 minutes

The correct answer is The line will be less steep because the rate will be slower

Explanation:

The rate of the graph is defined by the number of gallons filled vs the time; this relation is shown through the horizontal axis (time) and the vertical axis (gallons). Additionally, there is a constant rate because each hour 2,500 gallons are filled, which creates a steep constant line.

However, if the rate decreases, fewer gallons would be filled every hour, and the line will be less steep, this is because the number of gallons will not increase as fast as with the original rate. For example, if the rate is 1,250 gallons per hour (half the original rate), after 8 hours the total of gallons would be 1000 gallons (half the amount of gallons); and this would make the line to be less steep or more horizontal.

Answer:

5 pints of milk.

Step-by-step explanation:

Note the unit conversion:

1 quart = 2 pint.

There are 3 quarts of milk. Multiply 3 with 2 to get the amount of pints in the jug:

3 x 2 = 6

The jug of milk has 6 pints of milk. Michael then pours 1 pint of milk. Subtract 1 from 6:

6 - 1 = 5

There are 5 pints of milk left in the jug.

~

Answer:

[tex]2.5[/tex]

Step-by-step explanation:

1 quart = 2 pints

1 pint = 0.5 quarts

[tex]3 - 0.5 = 2.5[/tex]

[tex]=2.5q[/tex]

Hope this helps.

Answer:

x = 16

Step-by-step explanation:

Simply set them equal to each other and solve:

3/4 = 12/x

3x = 48

x = 16

Answer:

16

Step-by-step explanation:

3/4 = 12/x

Cross multiply.

3 × x = 12 × 4

3x = 48

Divide both sides by 3.

3/3x = 48/3

x = 16

Answer:

The answer is below

Step-by-step explanation:

First we have that free trade refers to the movement of goods, services, capital and knowledge from one place to another. But in reality, free trade does not exist since there are many tariffs and non-tariff barriers.

However,

- Tariff barriers are taxes imposed on imports into a country according to quantity or quantity. Tariff barriers increase the price of imports in the country, which affects the demand for goods and services. Countries agree to lower these tariff barriers, which make trade reasonable for countries that sign agreements.

- Non-tariff barriers are barriers that do not directly affect import prices. It does not impose a tax directly on imports. It tries to reduce imports by using barriers other than taxes.

Therefore countries try to protect their domestic industries using various tariff and non-tariff barriers. The amount of the barriers cannot be precisely decided, since the barriers are not only to protect national industries, but some barriers are imposed to avoid the economic and political monopoly of a foreign country in the national country.

Government actions:

The government applies various health and safety regulations to domestic and foreign products, since consumers in the country must be protected against any impurities. Still, these restrictions are also more than required, leading to protectionism.

The government uses various tariff and non-tariff barriers not only to protect national industries but also for various social, economic, and political reasons.

Therefore, it is difficult to establish tariff and non-tariff barriers in a country accurately.

Answer:

D) Standard deviation, because there are no outliers that affect the center

Answer:

144

Step-by-step explanation:

Find: Length of segment BC

CD+DB=BC

3x+8+4x+10=BC

7x+18=BC

BC also equals 8x (given on the screen shot)

7x+18= 8x

x=18

18 times 8 = 144

Check:

3( 18) + 8 + 4(18) + 10

54+8 + 72+10

64+ 80= 144  TRUE