Please help me, what is the answer

Answer:

120°

Step-by-step explanation:

The angles that has 120° is the same as angle E.

Angle E = 120°

Angle D = 180° - 120° = 60°

60° + Angle F = 180°

Angle F = 180° - 60°

Angle F = 120°

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-Chetan K

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Answer:

5a =5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

-22

explanation step by step

-2(5)+(-4+-8)

-10+-12

= -22

Answer:

20,320

Step-by-step explanation:

6*5=30 PUT YOUR 3 UP AND KEEP THE ZERO ON BOTOM THEN 5*5 IS 25 PUT YOUR 2 UP AND YOUR 5 ON BOTTOM THEN 5*4= 20 PUT YOUR 2 UP AND 0 ON BOTTOM THEN PUT A ZERO UNDER YOUR FIRST 0 AND THEN TAKE 6*4= 24 PUT YOUR 2 UP AND YOUR 4 ON BOTTOM AND THEN TAKE 4*5= 20 PUT YOUR 2 UP AND 0 ON BOTTOM AND THEN TAKE 4*4 = 16 AND TAKE AND PUT YOU 1 UP AND YOUR 6 ON BOTOM AND ADD THEM TOGETHER

Answer:

D

Step-by-step explanation:

So we want to figure out the measure of angle ?.

We already know that sides opposite and adjacent to the angle.

Therefore, we need to use tangent. Recall that tangent:

\(\tan(?)=opp/adj\)

Substitute 34 for the opposite and 48 for the adjacent:

\(\tan(?)=34/48\)

Divide (approximately):

\(\tan(?)=0.71\)

Take the inverse tangent of both sides:

\(?=\tan^{-1}(0.71)\)

So, our answer is D

And we're done!

The main one is the Pythagorean identity,

sin²(x) + cos²(x) = 1

By dividing both sides by cos²(x), you get the tan-sec variant:

sin²(x)/cos²(x) + cos²(x)/cos²(x) = 1/cos²(x)

tan²(x) + 1 = sec²(x)

since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x).

So the given expression reduces to

(sin²(x) + tan²(x) + cos²(x)) / sec²(x)

= (1 + tan²(x)) / sec²(x)

= sec²(x) / sec²(x)

= 1

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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Answer:

The dimensions of the aquarium that minimize the cost of the materials:

\(x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}\)

Step-by-step explanation:

Let x, y and z be the dimensions of aquarium .

Surface area of an aquarium = xy+2yz+2xz

Volume of aquarium V= \(Length \times Breadth \times Height =xyz----A\)

We are given that slate costs five times as much (per unit area) as glass

So, Cost function : C=9xy+2yz+2xz

Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.

\(\nabla C = \lamda \nabla V\\(\frac{\partial C}{\patial x},\frac{\partial C}{\partial y}, \frac{\partial C}{\partial z})=\lambda(\frac{\partial V}{\patial x},\frac{\partial V}{\partial y}, \frac{\partial V}{\partial z})\\(9y+2z,9x+2z,2y+2x)=\lambda(yz+zx+xy)\)

So,\(9y+2z=\lambda yz -----1\\9x+2z=\lambda zx -------2\\2y+2x=\lambda xy --------3\)

Multiply 1 ,2 and 3 by x,y and z respectively.

\(9xy+2xz=\lambda xyz ------4\\9xy+2zy=\lambda zxy -------5\\2yz+2xz=\lambda xyz --------6\)

Now equate 4 and 5

9xy+2xz=9xy+2yz

x=y

Substitute y=x in 5 and 6 and equate them

\(9x^2+2xz=2xz+2xz\\9x=2z\\\frac{9x}{2}=z\)

Substitute the values in A

\(Volume = xyz=(x)(x)(\frac{9x}{2})\\Volume V = \frac{9x}{2}x^3\\\sqrt[3]{\frac{2V}{9}}=x\\x=y=\sqrt[3]{\frac{2V}{9}}\\z=\frac{9(\sqrt[3]{\frac{2V}{9}})}{2}\\z=\sqrt[3]{\frac{81V}{4}}\)

Hence,

The dimensions of the aquarium that minimize the cost of the materials:

\(x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}\)

The rule for the exponential function is y=42(1/2)^x

A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.

Here,

general form of exponential function is y=a(b)^x

a= y-intercept ,  b = multiplier

The initial y value 42 is multiplied by 1/2, we get next y value 21 as given in the graph, So, b = 1/2

y=a(1/2)^x

consider (x,y)=( 0,42)

=> x=0 and y=42

So 42=a(1/2)^0

=> 42=a

Thus, the rule for the function is y=42(1/2)^x

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The length of the label is 121 over 28. (option C)

The length of the label is equivalent to the circumference of the cylinder. The circumference of an object is the distance round the object.

The formula for circumference of a cylinder = 2πr

Where:

π = 22/7

r = 2 3/4 = 11/4

2 x 22/7 x (11/4) = 121/28 cm

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Answer: 121/7

Step-by-step explanation: I got it correct :)

Answer:

2MN=RA+TP

13×2=x+18

26=x+18

26-18=x

8=x

Answer:

For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2

Step-by-step explanation:

The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.

The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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Answer:

a.H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test

b) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

c) the p- value is 0.0359*2= 0.0718. It is greater than the value of ∝ so there isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

d) There is enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

e) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

Step-by-step explanation:

Formulate the null and alternative hypotheses as

a) H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test

Here ∝= 0.005

For alpha by 2 for a two tailed test Z∝/2 = ± 1.96

Standard deviation = s= 3.5 pounds

n= 49

The test statistic used here is

Z = x- x`/ s/√n

Z= 69.1- 70 / 3.5 / √49

Z= -1.80

Since the calculated value of Z= -1.80 falls in the critical region we reject the null hypothesis.

b) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

c) the p- value is 0.0359*2= 0.0718. It is greater than the value of ∝ so there isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

d) If standard deviation is 1.75 pounds

The test statistic used here is

Z = x- x`/ s/√n

Z= 69.1- 70 / 1.75 / √49

Z= -3.6

This value does not fall in the critical region.

d) There is enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

e) If the sample mean is 69 pounds

Z = x- x`/ s/√n

Z= 69.1- 69 / 3.5 / √49

Z= 0.2

This value falls in the critical region

e) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.

The temperature at 1pm is -3°C, at 2pm it's -6°C, at 3pm it's -9°C, and at 6pm it's -18°C. The temperature t hours after noon is T = 0 - 3t

If the temperature is dropping at a rate of 3 degrees per hour, then the temperature t hours after noon can be represented by the equation T = 0 - 3t, where T is the temperature in degrees Celsius.

To find the temperature at a specific time after noon, we need to substitute the corresponding value of t into the equation and solve for T. For example:

At 1pm (t = 1), T = 0 - 3(1) = -3°C

At 2pm (t = 2), T = 0 - 3(2) = -6°C

At 3pm (t = 3), T = 0 - 3(3) = -9°C

At 6pm (t = 6), T = 0 - 3(6) = -18°C

To find the temperature t hours after noon, we can use the same equation: T = 0 - 3t. For example, if we want to find the temperature 4 hours after noon, we can substitute t = 4 into the equation: T = 0 - 3(4) = -12°C. So the temperature 4 hours after noon is -12°C.

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Using translation concepts, it is found that the correct option is:

D. It is the graph of  translated 3 units up and 7 units to the right.

The parent function is:

\(f(x)=y=1nx\)

Shifting a function a units to the right is equivalent to finding f(x - a), thus:

\(f(x-7)=1n(x-7)\)

Shifting a function a units up is equivalent to finding f(x) + a, thus:

\(f(x-7)+3=1n(x-7)+3\)

Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.

A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes

B . The motorboat travel at 1 hr 40 minutes

A group of campers and one group leader left a campsite in a canoe.

They traveled at an average rate of 10 km/h.

1st Group DATA:

rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs

Two hours later, the other group leader left the campsite in a motorboat.

He traveled at an average rate of 22 km/h.

Group Leader DATA:

rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs

A. How long after the canoe left the campsite did the motorboat catch up with it?

Group time - Leader time = 2 hr

x/10 - x/22 = 2

Multiply thru by 110 to get:

11x - 5x = 220

6x = 220

x = 110/3 = km

canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes

B. How long did the motorboat travel?

motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes

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Answer:

0.625

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

3x = 69°

This is because they are vertically opposite angles.

You would have to divide 69 by 3.

69 ÷ 3 = 23

23 · 3 = 69

Question Correction

In the right triangle, not drawn to scale, angle  BAC = 30° and AB = 40 m. The length. BC,  in metres, is​

Answer:

23.09 metres

Step-by-step explanation:

The triangle is a right triangle with :

\(A=30^\circ \\B=90^\circ\\AB=40$ metres\)

We are required to find the length of the side BC.

Using Trigonometry ratios

\(\tan \theta =\dfrac{BC}{AB}\\\tan 30^\circ =\dfrac{x}{40} \\BC, x =40 \times \tan 30^\circ\\BC=23.09$ metres\)

The length BC,  in metres, is​ 23.09 metres.

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

10 friend=6 pizza now,

1 friend gets =10÷6

=5÷3

It will take 10 minutes 30 seconds to complete seven questions.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -

y = kx

k = y/x

where [k] is the constant

Given is that the number of questions [y] completed and time [x] it takes to complete them are proportional to each other.

The number of questions [y] completed is proportional to time [x] it takes to complete them. This means that -

y \(\alpha\) x

y = kx

k = y/x

So, we can write -

y₁/x₁ = y₂/x₂

Substituting the values given in the table -

4/6 = 7/x₂

x₂ = (7 x 6)/4

x₂ = 21/2

x₂ = 10.5

x₂ = 10 minutes 30 seconds

Therefore, it will take 10 minutes 30 seconds to complete seven questions.

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[The given question is not complete. Refer to image attached for clear and complete question]

Answer:

10 minutes 30 seconds is the correct answer

Step-by-step explanation:

I took the test and that is what i got

Answer:

  (b)  22 in

Step-by-step explanation:

You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.

The perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:

  P = 4 in + 4 in + 7 in + 7 in

  P = 22 in

The perimeter of the rectangle is 22 inches.

__

Additional comment

We can save a math operation by recognizing the sum can be arranged to ...

  P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)

This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.

This is why the usual formula for the perimeter of a rectangle is ...

  P = 2(L +W)

Answer:

1.x=-8

Step-by-step explanation:

3x+12=-12

   -12   -12

3x=-24

/3    /3

x=-8

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

B

Step-by-step explanation:

Musicologists generally define the Classical period of music as ranging from 1730 to 1820. Classical era music followed the late Baroque period of music.

Answer:

C.

Step-by-step explanation: