What is mArc B C? 50° 80° 100° 130°

Answer:

answer is 2:3

Step-by-step explanation:

i solved it including a calculator

Answer:

boii put the diagram then put the question

Step-by-step explanation:

Answer:

Part a) The Labeled part of the Can ⇒ 263.76 cm^2

Part b) The Surface Area of the Can is ⇒ 340.69 cm^2

Part c) The Volume of the Can is ⇒  38.465 * 12 = 461.58 cm^2

Step-by-step explanation:

~ If the dimensions of this can is 12 centimeters by 7 centimeters... ~

Part a)

1. Now a can is in the shape of a cylinder, thus the Base would act as a circle. That being said, 7 centimeters acts as the diameter of this circle.

2. If we were to unravel the middle of the can, it would be that this circular portion turns out of be a rectangle, with dimensions of the height of the cylinder, by the circumference of the Base of the cylinder. The circumference can be calculated by πd where d is the diameter ⇒ 3.14 * 7 ⇒ 21.98 cm. Thus the dimensions of this middle part of the can is 21.98 by 12 ⇒ 21.98 * 12 ⇒ 263.76 cm^2.

The Labeled part of the Can ⇒ 263.76 cm^2

Part b)

1. We know previously, that 7 centimeters acts as the diameter of this circle, so the radius must be half of that, which is 7/2 ⇒ 3.5 cm. Now we can apply the area of a circle formula πr^2 where r ⇒ radius, such that: 3.14 * ( 3.5 )^2 ⇒ 3.14 * 12.25 ⇒ 38.465 cm^2.

2. Knowing that the Base of this can is 38.465 cm^2, multiply this value by 2 to get the surface area of the two bases, provided they are equivalent: 38.465 * 2 ⇒ 76.93 cm^2

3. We know that this labeled section of the can is ⇒ 263.76 cm^2. This means that The Surface Area of the Can is ⇒ 263.76 + 76.93 = 340.69 cm^2

Part c )

The volume of the can is calculated by Base * height. We know from the previous questions that the Base ⇒ 38.465, and the height was given to be 12 centimeters. This means that The Volume of the Can is ⇒  38.465 * 12 = 461.58 cm^2

Answer:

[tex]\theta = 12.16^0.[/tex]

Step-by-step explanation:

Given,

Height = 12.6 m

Object distance from the person = 58.5 m

Angle of depression

[tex]tan \theta = \dfrac{P}{B}[/tex]

[tex]tan \theta = \dfrac{12.6}{58.5}[/tex]

[tex]tan \theta = 0.2154[/tex]

[tex]\theta = 12.16^0[/tex]

Hence, angle of depression is equal to [tex]\theta = 12.16^0.[/tex]

The angle of depression of the person's line of sight to the object on the ground is 12.15°.

The information forms a right angle triangle. The person eyes above the ground is the opposite side of the triangle. The object distance from the building in line of the sight is the adjacent side of the right angle triangle.

Therefore,

using trigonometric ratio,

tan Ф = opposite /adjacent

tan Ф = 12.6 / 58.5

tan Ф = 0.21538461538

Ф = tan⁻¹ 0.21538461538

Ф = 12.1549416972

Ф = 12.15°

angle of depression  ≈ 12.15°

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Answer:

Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

Step-by-step explanation:

The department store was adding sales tax to the bill. Sales tax is a tax on goods and services purchased and is normally a certain percentage added to the buyer's cost.

Solution: 2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.

Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers.

The additional amount Mr. Smith paid is tax.

The amount was determined by calculating 7.4% of the items bought.

Mr Smith. should pay $34.36.

Tax is an amount of money levied by the government or an agency of the government on certain goods and services. Taxes increases the price of a good or service.

In order to determine the tax paid, divide the additional amount paid by the total cost of items purchased.

(2.36 / $32) x 100 = 7.4%

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Answer:

65 cm =? m

1m =100cm

1cm=1/100m

65cm=65/100m

65cm =0.65m

Answer:

The last choice:   log 25  Over  log 8

Step-by-step explanation:

Because the change of base formula says:

log (subscript 8)  of 25  =    log (25)  /  log (8)

let  log be the Common Log  without subscripts

The change of base formula used by Devonte to approximate the logarithm expression log₈ 25 is log 25 / log 8.

Using logarithm theorem,

logₐ b = logₓ b / logₓ a

Therefore,

log₈ 25  can be express as follows;

Recall that the natural base is base 10

Therefore,

log₈ 25  =  log 25 / log 8.

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Answer:

[tex]V= \frac{15}{4}[/tex]

Step-by-step explanation:

To find find the volume of a rectangular prism you need to formula.

V = whl   w is the width, h is the height, and l is the length.

It shows that the length of one box is 1/2 cm

To find the width, multiply 1/2 by 2 because there's 2 boxes

To find the height, multiply 1/2 by 3 because there's 3 boxes going up

To find the length, multiply 1/2 by 5 because there's 5 boxes going across

Now that you have the width, height, and length put them into the formula.

[tex]V = (1)(\frac{3}{2})(\frac{5}{2})[/tex] multiply everything together

[tex]V= \frac{15}{4}[/tex]

The volume of the rectangular prism is 15/4.

In three dimensional space prism is a polyhedron where two ends are similar.

Given we have  the length of one box is 1/2cm.

To find find the volume of a rectangular prism;

volume of rectangular prism = width x height x length.

To find the width,

multiply 1/2 by 2 because there's 2 boxes.

To find the height,

multiply 1/2 by 3 because there's 3 boxes in one column.

To find the length,

multiply 1/2 by 5 because there's 5 boxes  in  one row.

Now,

volume of rectangular prism = 2(length) x 3 (length) x 5 (length)

volume of rectangular prism = 2(1/2) x 3 (1/2) x 5 (1/2)

volume of rectangular prism = 1 x 3/2 x 5/2

volume of rectangular prism = 15/4

Therefore, the volume of the rectangular prism is 15/4.

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Answer:

4 ounces.

Step-by-step explanation:

There is 16 ounces in a pound.

1/4 ounces means there is one pound that was cut into 4 pieces and you want to find how many ounces is in one of those pieces.

Since the pound is divided into 4 pieces, we have to do the same with the 16 ounces in that one pound.

16 ounces divided by 4 is 4 ounces.

1/4 of a pound converted into ounces is 4 ounces.

I hope this helped you! :)

The number of different ways ten students can line up for lunch is 3,628,800, which is found by calculating the factorial of 10 (10!).

The question asks how many different ways ten students can line up for lunch. This is a problem of calculating permutations without repetition, as each student is unique and once a student takes a place in line, they cannot be in another position at the same time. The formula to calculate the number of permutations for 'n' unique items is n! (n factorial), which is defined as the product of all positive integers from 1 to n.

In this case, 'n' is 10 because there are 10 students. Therefore, the calculation is 10! =  3,628,800 different ways.

Answer:

48

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\frac{-3}{4}\div\frac{2}{-8}=[/tex]

[tex]\frac{-3}{4}\times \frac{-8}{2}=[/tex]

[tex]\frac{-3\cdot -8}{4\cdot 2}=[/tex]

[tex]\frac{24}{8}=[/tex]

[tex]\boxed{3}[/tex]

Hope this helps!

Answer:

0.45 second

Step-by-step explanation:

The number of seconds it takes a dropped object to fall d feet on Earth is given as:

E(d)=0.25√d

the number of seconds it takes a dropped object to fall d feet on the sun is given as:

S(d)=0.2⋅E(d)

Therefore

S(d)=0.2 × 0.25√d = 0.05√d

Given that it take a dropped object to fall 80 feet on the sun (i.e d = 80 feet), to calculate the time in seconds we use:

S(d) = 0.05√d

S(d) = 0.05 × √80 = 0.05 × 8.944 ≈ 0.45 s

It takes 0.45 second for a dropped object to fall 80 feet on the sun

The required length of the diagonal AB would be 8.66 cm.

The formula for the length of the diagonal of a cube follows as

d = √ (L² + W² + H² )

Where H is the height of the cube,  W is the width of the cube and L is the length of the cube

We have been that the dimensions of a cube are as:

The length of the cube (L) = 5 cm

The height of the cube (H) = 5 cm

The width of the cube (W) = 5 cm

d = √ (L² + W² + H² )

d = √ (5² + 5² + 5² )

d = √ (25 + 25  + 25 )

d = √75

d = 8.66

Therefore, the required length of the diagonal AB would be 8.66 cm.

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Answer:

cos A= 5/13

tan A= 12/5

Step-by-step explanation:

Answer:

cos A= 5/13

tan A= 12/5

Step-by-step explanation:

Your welcome :)

Answer:

m > - 6

Step-by-step explanation:

Given

5 - 3m < 23 ( subtract 5 from both sides )

- 3m < 18

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

m > - 6

Answer:

a. 1007.27

b. 2895.29

c. 2714.34

d. 111.84

Step-by-step explanation:

Answer:

789 Siberian tigers

Step-by-step explanation:

2030 = 40 years after 1990, so...

215 * e^(.0325*40) =

215 * e^1.3 =

788.89878405, which is approx. 789

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

The height of the equilateral triangle is required.

The height of the logo is option B. 1.7 in.

A perpendicular to from one of the vertices of an equilateral triangle bisects the sides into two equal halves.

a = Length of every side of the equilateral triangle = 2 in

b = Length of the bisected length = [tex]\dfrac{2}{2}=1\ \text{in}[/tex]

From the Pythagoras theorem we have

[tex]a^2=h^2+b^2\\\Rightarrow h=\sqrt{a^2-b^2}\\\Rightarrow h=\sqrt{2^2-1^2}\\\Rightarrow h=1.7\ \text{in}[/tex]

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Answer:

70

Step-by-step explanation:

It is made with a combination. Combination of 4 taken from 8, the formula of the combination is as follows:

nCr = n! / (r! * (n-r)!)

In this case 8 is "n" and 4 is "r"

8C4 = 8! / (4! * (8-4))!

8C4 = 8! / (4! * 4!)

8C4 = 40320/576

8C4 = 70

In this way he obtained the answer that is 70

Answer:

multiply the value of x by 8

Final answer:

A regular hexagon will coincide with itself when rotated by angles of 60 degrees, or multiples of it like 120, 180, 240, 300, and 360 degrees, because these are the angles of rotational symmetry for a hexagon.

Explanation:

A regular hexagon has six sides of equal length and interior angles that are also equal. When a regular hexagon is rotated about its center, there are specific degree measures for which it will fit exactly onto itself, known as the angles of rotational symmetry. Since a full rotation measures 360 degrees and a hexagon has six sides, we can divide 360 degrees by the number of sides to find the smallest angle of rotation that will carry the regular hexagon onto itself.

The calculation is 360 ÷ 6 = 60 degrees. Therefore, a regular hexagon will coincide with itself every 60-degree turn. Other angles that will carry the hexagon onto itself are multiples of 60 degrees: 120 degrees, 180 degrees, 240 degrees, 300 degrees, and 360 degrees (a full rotation).

Answer:

The expression a^b

means that we multiplicate the number a by itself b times.

So x^2 means that we multiplicate the number x by itself 2 times:

x^2 = x*x

and 2^x means that we multiplicate the number 2 by itself x times

2^x = 2*2*2*....*2 (if you count them, you should see x times the number 2)

for example, if x = 4, we will have

2^4 = 2*2*2*2

Answer:

v= 64cm3

Step-by-step explanation:

a cube with area of 96cm2 has a length of 4 cm

A=L squared x6

96=L2x6

96/6=16

16 square root=4cm

V=l x l xl

V=4x4x4

v=64cm3

Answer:

Step-by-step explanation:

To find the perimeter, you would have to add all the expressions together, so you would get 2x+x+x+y+y+1+y+y

combine like terms and you will get 4x+4y+1

Answer:

C. 5/12 = 2/x

Step-by-step explanation:

There's no explanation, you have to study the proportion

Answer: r = 18 ft

Step-by-step explanation: To get the radius, divide 36ft by 2.

The radius of the circle is 18 ft.

A circle is a round shape that has all points in the plane equidistant from a single point known as Center.

The diameter is a line segment which has one end on the circumference of the circle and passes through the center connecting to the second point of the circle on its circumference.

Radius =  Diameter /2

It is given in the question that

diameter of circle = 36ft

Radius = ?

Radius = 36/2

Radius = 18ft

Therefore the radius of the circle is 18 ft.

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Answer:

The polynomial is irreducible.

Step-by-step explanation:

The polynomial 3p²-15pq+20q² can be factored as (p-2q)(3p-10q).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The polynomial is given as follows:

3p²-15pq+20q²

It is required to find the factorization of the given polynomial.

The greatest common factor (GCF) of the coefficients (3, -15, 20), is 3.

Rewrite the polynomial using the GCF of 3. We get:

3(p²-5pq+6q²)

We need to find two numbers that multiply to 6q² and add to -5pq.

The numbers are -2q and -3p.

Combine the factored quadratic expression with the GCF of 3.

3(p-2q)(p-3q)

Therefore, the correct factorization of the polynomial 3p²-15pq+20q² is 3(p-2q)(p-3q).

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Answer: 6+(-15)

Step-by-step explanation:

6+(-15) = -9

Answer:

6+(-15)

Step-by-step explanation:

:)

Step-by-step explanation:

Putting value of y

6x + 8(-5) = - 22

6x - 40 = - 22

6x = - 22 + 40

6x = 18

x = 18 / 6

x = 3