c. One sixth of a number is 15. What is the number?
Please explain step by step.

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

true

Step-by-step explanation:

please mark brainiest

Answer:

A. 119 feet

Step-by-step explanation:

the height of tree right now =

17 × 8 = 136 feet

the differences = 136 -17 = 119 feet

Answer:

A. 119

Step-by-step explanation:

In 15 years, the tree grew to a height of 8 x 17 = 136 feet. Since it was planted at a height of 17 feet, the tree grew 136-17=119 feet.

Answer:

ΔV = 865.51 mm^3

Step-by-step explanation:

In order to calculate the difference in volume between both baseballs you use the following formula for the volume of a sphere:

\(V=\frac{4}{3}\pi r^3\)       (1)

where r is the radius of he sphere.

You calculate the volume of each sphere:

First baseball:

radius = 23.2mm/2 = 11.61mm

\(V_1=\frac{4}{3}\pi (11.61mm)^3=6555.18\ mm^3\)

Second baseball:

radius = 24.2mm/2 = 12.1mm

\(V_2=\frac{4}{3}\pi (12.10)^3=7420.70\ mm^3\)

Then, the difference in the volumen of both spheres is:

\(\Delta V=V_2-V_1=7420\ mm^3-6555.18\ mm^3=865.51\ mm^3\)

Answer:

64

Step-by-step explanation

48/36=4/3

36x4/3=48 so...

48x4/3=64

Answer:

64

Step-by-step explanation:

Answer:

It is 16

Step-by-step explanation:

Because 64÷4=16 80÷5=16 96÷6=16

So to find the constant of portionality you divide the second number by the first number.

Answer:its 16

Step-by-step explanation:

Answer:

7 to 9

Step-by-step explanation:

Answer:yes

Step-by-step explanation: it represents a function

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer:

4000$

Step-by-step explanation:

Your the person that answered my question with nothing arent you and here is my response

Answer:

In my screenshot

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

descartes rule of signs to test maximum positive and negative:

3x4 - 7x + 3

two sign changes, so maximum of 2 positive real zeroes

3x4 + 7x + 3

no sign changes, so maximum of 0 negative real zeroes

this means that we can have 2 or 0 real zeroes.

if we have 0 real zeroes, we will have 4 imaginary.

therefore the most possible number of complex roots is 4

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

1/80

Step-by-step explanation:

Answer:

3 inches is 1/4th of one foot so to 20 ft is 1/80th

Step-by-step explanation:

Remember, 12 in.=1 FT

Hope this helps

;)

I don't have many friends to get messages in my email box

Answer:

Step-by-step explanation:

3.45/(3/4)

3.45/0.75

4.6$ per pound

\(6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120\)

ok done. Thank to me :>

Answer:

8cosx-cosy=8.

Step-by-step explanation:

dy/dx=8sinx/siny;

sinydy=8sinxdx;

-cosy= -8cosx+C;

according to the condition y(0)=pi/2:

-cos(pi/2)= -8cos0+C;

-8+C=0; ⇔ C=8, then

8cosx-cosy=8.

The solution to the given initial-value problem y' = (8 sin(x))/sin(y) with the given condition y(0) = π/2 is equal to y = -cos⁻¹(x).

To solve the initial-value problem y' = (8 sin(x))/sin(y) with the initial condition y(0) = π/2, separate variables and then integrate.

Separate variables.

y' = (8 sin(x))/sin(y). To separate variables, multiply both sides by sin(y) and divide by (8 sin(x)):

sin(y) dy = dx

Integrate both sides.

Now, integrate both sides of the equation with respect to their respective variables:

∫sin(y) dy = ∫dx

Integrating the left side:

∫sin(y) dy = -cos(y) + C₁ (where C₁ is the constant of integration)

Integrating the right side:

∫dx = x + C₂ (where C₂ is the constant of integration)

Apply initial condition.

Now, apply the initial condition y(0) = π/2 to find the values of C₁ and C₂:

When x = 0, y = π/2

cos(π/2) + C₁ = 0 (substitute y = π/2 into -cos(y) + C₁)

C₁ = 0 (since cos(π/2) = 0)

So, the equation becomes:

-cos(y) = x + C₂

Solve for y.

Now, isolate y on one side of the equation:

y =-cos⁻¹(x + C₂)

Find C₂ using the initial condition.

Now, use the initial condition y(0) = π/2 to find C₂:

When x = 0, y = π/2

π/2 = -cos⁻¹(0 + C₂)

cos⁻¹(C₂) = -π/2

C₂ = cos(-π/2) = 0

Final solution.

Finally, substitute C₂ = 0 into the equation y = -cos⁻¹(x + C₂) to get the final solution:

y = -cos⁻¹(x)

Therefore, the solution to the initial-value problem y' = (8 sin(x))/sin(y) with y(0) = π/2 is y = -cos⁻¹(x).

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Answer:

X= -5

Step-by-step explanation:

do you need steps?

5x +7/2 = 3x/2 -14

10x+7/2 = 3x-28/2

2(10x+7) = 2(3x-28)

20x +14 = 6x - 56

20x -6x = -56 - (14)

14x = -70

x = -70/14

x = -5

Let's begin by listing out the information given to us:

Amount earned (old job) = $1,650 /month

New job rate (r) = $9.80 /hour

Time (t) = 36 hours /week

Remember that 1 month = 4 weeks. It means that time in months is equal to:

Time (t) = 36 * 4 = 144 hours /month

Amount earned (new job) = New job rate * Time

Amount earned (new job) = 9.80 * 144 = $1,411.20

Deficit = Amount earned (old job) - Amount earned (new job)

Deficit = 1,650 - 1,411.20 = $238.80

To calculate how many hours overtime, divide the deficit by the job rate

Hours overtime = 238.8 / 9.8 = 24.37 hours / month

Hours overtime = 24.37/4 = 6.09 = 6.1 hours / week

Mark would have to work 6.1 hours overtime per week to earn the same amount per week as his current job​

The probabilities are as follows:

(a) P(A')= 0.7

(b) P(A∪B) =  0.3

(c) P(A'∩B) =  0

(d) P(A∩B') =  0.1

(e) P[(A∪B)'] =  0.7

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) P(A') = 1 - P(A) = 1 - 0.3 = 0.7

(b) P(A∪B) = P(A) + P(B) - P(A∩B) = 0.3 + 0.2 - 0.2 = 0.3

(c) P(A'∩B) = P(B) - P(A∩B) = 0.2 - 0.2 = 0

(d) P(A∩B') = P(A) - P(A∩B) = 0.3 - 0.2 = 0.1

(e) P[(A∪B)'] = 1 - P(A∪B) = 1 - 0.3 = 0.7

Note: P(A) represents the probability of event A occurring, P(B) represents the probability of event B occurring, and P(A∩B) represents the probability of both events A and B occurring simultaneously. The symbol '∪' represents the union of two events, and the symbol '∩' represents the intersection of two events. The complement of an event A is represented by A'.

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Answer:

true

Step-by-step explanation:

if the vertical lines are not parallel, then the corresponding angles are not congruent.

8x + 2 = 14x - 76

8x - 14x = -76 -2

-6x = -78

x = 13

8(13) + 2 = 14(13) - 76

106 = 106---- equal

the vertical lines is a bit confusing.... they looks like not a parallel lines

The perimeter of the pond is 2.92 meters.

A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.

The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The perimeter of a right-angled triangle is the sum of the lengths of its three sides.

Here we have

The Hypotenuse of the triangle is 1.46 m    

The angle between hypotenuse and perpendicular height = 73°

From triagonometric ratios,

=> cos A = Perpendicular height/ Hypotenuse.

=> cos (73) = Perpendicular height/1.46

=> Perpendicular height = 1.46 × 0.29 = 0.42 m

As we know from Pythagoras' theorem,

Hypotenuse² = side² + side²    

Side = √Hypotenuse² - side²  

= √[(1.46)²- (0.42)²]  = 1.04

Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04

Hence, perimeter of the pond =  1.46 + 0.42 + 1.04 = 2.92 meters  

Therefore,

The perimeter of the pond is 2.92 meters.

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The complete Question is given below

Answer:

11/60

Step-by-step explanation:

Because fraction is based on a whole :-

1 - (1/4 + 2/5 + 1/6)

=> 1 - (15 + 24 + 10/60) (by taking LCM of 4, 5, and 6)

=> 1 - (49/60)

=> 1 - 49/60

=> 60 - 49/60 (by taking LCM of 1 and 60)

=> 11/60

Hope you understood!!

The result of the product for the following pairs of number is irrational for 1. Option d √2(4). 2. Option a. 3. Option d. 4. Option b.

A real number that cannot be stated as a ratio of integers is said to be irrational; an example of this is the number √2. Any irrational number, such as p/q, where p and q are integers, q≠0, cannot be expressed as a ratio. Once more, an irrational number's decimal expansion is neither ending nor recurrent.

1. The product of the numbers are:

a. √2 (√8) = √16 = 4

b. √49 (∛ 8) = 14

c. √3 (2/ √3) = 2

d. √2(4)

Option d is the correct answer.

Similarly, taking the product:

2. Option a is correct.

3. Option d is correct.

4. Option b is correct.

Hence, the result of the product for the following pairs of number is irrational for 1. Option d √2(4). 2. Option a. 3. Option d. 4. Option b.

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The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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The measure of angle DEF is 37 degrees.

What is chord in circle

In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.

Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).

Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.

Since G is the center of the circle, the angle DGE is a central angle of the circle.

Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.

Let x be the measure of angle DEF. Then, we have:

2x = 74

x = 37

Hence, the measure of angle DEF is 37 degrees.

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Answer:

3 + √5

Step-by-step explanation:

Find the square root of 14+6√5​

Change to √ ( 14 + 6√5 ) = √x + √y

1️⃣ Square.

14 + 6√5 = x + y + 2√xy

14 + 2√45 = ( x + y) + 2√xy

2️⃣ Compare.

(x + y) = 14

xy = 45

3️⃣ Solve.

(x - y)² = (x+y)² - 4xy

( x - y)² = 14² - 180

( x - y)² = 196 - 180

( x - y)² = 16

( x - y) = 4

x + y = 14

x - y = 4

2x = 18

x = 9 .

y = 5 .

14 + 6√5 = √9 + √5 = 3 + √5 .

Answer: 3 + √5 .

Done ✔

Answer:

Step-by-step explanation:

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:

1) 2/9

2)3/9

Step-by-step explanation:

sorry,thats what i know so far