What is the circumference of the following circle r = 1

Answer:

1024πcm²

Step-by-step explanation:

The surface area of a sphere is found using the following formula:n A=4πr². r is the radius while A is the surface area.

in the sphere the radius is 16 cm thus:

A=4×π×16²

=1024π cm²

Answer:

The correct answer is third option 1024π

Step-by-step explanation:

Formula:-

Surface area of sphere = 4πr²

Where r is the radius of sphere

To find the surface area of sphere

Here r = 16

Surface area =  4πr²

  = 4 * π *16²

  = 4 * π * 16 * 16 = 1024π

Therefore surface area of sphere = 1024π

The correct answer is third option 1024π

Answer:

The area of the regular hexagon is [tex]166.3\ units^{2}[/tex]

Step-by-step explanation:

we know that

The regular hexagon can be divided into 6 equilateral triangles

so In this problem

The radius is equal to length side of the polygon

The area of the regular hexagon is equal to the area of six equilateral triangle

[tex]A=6[\frac{1}{2}(b)(h)][/tex]

we have

[tex]b=r=8\ units[/tex] ---> the base of each triangle is equal to the radius

[tex]h=4\sqrt{3}\ units[/tex] ---> the height of each triangle is equal to the apothem

substitute

[tex]A=6[\frac{1}{2}(8)(4\sqrt{3})]=96\sqrt{3}\ units^{2}[/tex]

[tex]96\sqrt{3}=166.3\ units^{2}[/tex]

Answer:

YES

Step-by-step explanation:

3x+4y=33

2x+y=17 ➡ y=-2x+17

2x+(17-2x)=17

2x+17-2x=17

2x-2x+17=17

17=17

same number on both sides means   Infinitely many solutions

:0)

Answer:

1/5, 1/3, 4/6

Step-by-step explanation:

First, find all the common denominators for these numbers. In this case, it's 30.

1/5 = 10/30

4/6 = 20/30

1/5 = 6/30

Now, you can see which ones are greatest and least.

1. 1/5 (least)

2. 1/3 (middle)

3. 4/6  (greatest)

Answer: [tex]40cm^2[/tex]

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

[tex]A=\frac{b*h}{2}[/tex]

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]

Then:

[tex]b=8cm[/tex]

The height ot this triangle is the height of the cone:

[tex]h=10cm[/tex]

So, by substituting into the formula you get the area of the cross-section in square centimeters:

[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]

[tex]\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}[/tex]

Answer:

Step-by-step explanation:

Alright, lets get started.

The total surface area of rectangular pyramid will be the area of all four faces and area of base.

The faces are triangular, so area will be = [tex]\frac{1}{2}*base*height[/tex]

Area of face = [tex]\frac{1}{2}*16*14=112[/tex]

Another face area = [tex]\frac{1}{2}*12*15=90[/tex]

Each face has its similar another face. So total area of faces will be = [tex]112+112+90+90=404[/tex]

Area of base = [tex]12*16=192[/tex]

So total surface area = [tex]404+192=596[/tex] square feet

Hence the total surface area is 596 square feet.   :   Answer

Hope it will help :)

Answer:596 square feet

Step-by-step explanation:

Answer:

The answer is 9x² - 6x - 1

Step-by-step explanation:

∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =

    0 + 9x² - 6x - 1 = 9x² - 6x - 1

Answer:

The result is : [tex]9x^{2} -6x-1[/tex]

Step-by-step explanation:

The given terms to be subtracted are ;

[tex]6x^{3}+x^{2} -10x-1[/tex] and

[tex]6x^{3}-8x^{2} -4x[/tex]

So, subtracting each term to be more clear we get:

[tex]6x^{3}-6x^{3}=0[/tex]

[tex]x^{2} -(-8x^{2} )=x^{2} +8x^{2} =9x^{2}[/tex]

[tex]-10x-(-4x)=-10x+4x=-6x[/tex]

[tex]-1+0=-1[/tex]

So, the answer will be :

[tex]9x^{2} -6x-1[/tex]

Rearrange x + y = 11.

x = 11 - y

Substitute into other equation.

4(11 - y)^2 = 3y^2 = 8

Answer:

4(11 - y)^2 - 3y^2 = 8 (#2)

QUESTION 1

The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.

From ΔVWX,

[tex]\tan(X)=\frac{VW}{WX}[/tex]

From ΔYZX,

[tex]\tan(X)=\frac{YZ}{XZ}[/tex]

[tex]\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}[/tex]

QUESTION 2

We use the tangent ratio to obtain;

[tex]\tan(V)=\frac{Opposite}{Adacent}[/tex]

[tex]\tan(V)=\frac{WX}{VW}[/tex]

QUESTION 3

From ΔVWX,

[tex]\tan(X)=\frac{VW}{WX}[/tex]

We take the inverse tangent of both sides to obtain;

[tex]X=\tan^{-1}(\frac{VW}{WX})[/tex]

[tex]\therefore \tan^{-1}(\frac{VW}{WX})=X[/tex]

QUESTION 4

From ΔVWX,

[tex]\tan(V)=\frac{WX}{VW}[/tex]

Taking the inverse tangent of both sides, we obtain;

[tex]V=\tan^{-1}(\frac{WX}{VW})[/tex]

[tex]\therefore \tan^{-1}(\frac{WX}{VW})=V[/tex]

QUESTION 5.

We know that

[tex]\tan(V)=\frac{WX}{VW}[/tex]

and

[tex]\tan(X)=\frac{VW}{WX}[/tex]

[tex](\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1[/tex]

QUESTION 6.

[tex]\tan^{-1}(\frac{VW}{WX})=X[/tex]

[tex]\tan^{-1}(\frac{WX}{VW})=V[/tex]

This implies that;

[tex]\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V[/tex]

QUESTION 7

[tex]\tan 23\degree =0.4244[/tex]

We round to the nearest 0.01 to obtain;

[tex]\tan 23\degree =0.42[/tex]

QUESTION 8

[tex]\tan 43\degree =0.9325[/tex]

We round to the nearest 0.01 to obtain;

[tex]\tan 43\degree =0.92[/tex]

QUESTION 9

[tex]\tan ^{-1} 0.14=7.9696\degree[/tex]

We round to the nearest 0.01 to obtain.

[tex]\tan ^{-1} 0.14=7.97\degree[/tex]

QUESTION 10

[tex]\tan ^{-1} 1=45.00\degree[/tex]

QUESTION 11

[tex]\tan ^{-1} 0.14=7.97\degree[/tex]

This implies that;

[tex]\tan 7.97\degree=0.14[/tex]

QUESTION 12

[tex]\tan ^{-1} 1=45.00\degree[/tex]

This implies that;

[tex]\tan 45.00\degree=1[/tex]

This means that everything in between those numbers is correct

Answer:

Step-by-step explanation:

The calculator says that the answer is 7.36 * 10^-3.

This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.

Coefficient: 7.36

Exponent: - 3

Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3

Answer:

7.56932 * 10^-3

The coefficient is 7.35932

The exponent is -3

Step-by-step explanation:

When we multiply numbers in scientific notation, we take the numbers out front and multiply

1.466*5.02 =7.56932

Then we add the exponents on the powers of 10

10^(-8+5) = 10^(-3)

The result is 7.56932 * 10^-3

Using a calculator, we get 0.00735932, which is not in scientific notation.  Your question indicates that you want the result in scientific notation

.00735932 changed to scientific notation

Move the decimal until a nonzero digit is to the left of the decimal

7.35932

We moved it 3 places to the left, that means our exponent is -3

7.35932*10^-3

Kash to Gary is 8 miles

Gary to Joan is 5 miles

Use the Pythagorean theorem to calculate the distance from Joan to Kash:

x = √8^2 + 5^2

x = √64+25

x = √89

x = 9.4

Total distance = 5 + 8 + 9.4 = 22.4 miles.

Rounded to nearest mile = 22 miles.

Answer:22 miles

Step-by-step explanation:

Got it right on a quiz

Answer:

um dunno like 2 hours a day?

Step-by-step explanation:

2x, x representing day? So 2 days = 2*2 = 4 hours?

Answer:

3 hours a day

Step-by-step explanation:

If you are on your phone to much you could have eye problems when you grow up or other problems.

The given statement "A computer can produce a list of random numbers" is true.

"A computer is an electronic device which take input from the user as raw data, process the data into information, and gives output to the user."

"Random numbers are numbers that occur in a sequence such that two conditions are met:

"Random numbers are important in statistical analysis and probability theory."

"Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it."

Hence, the correct option is A.

To learn more about random numbers and computer here

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Answer:

1  7/8 cups leftover

Step-by-step explanation:

The total amt. of sugar Suze needs is 5(1  1/2 cups) = 15/2 cups, or 7.5 cups.

Combining the 3  1/4 and 6  1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total.  She needs only 7.5 cups of this sugar.

Thus, she has leftover the following amount:  9 3/8 - 7 4/8 cups, which

simplifies to  1  7/8 cups

Total C.Sugar

3 1/4+6 1/8

=13/4 + 49/8

=26/8 + 49/8

=75/8 cups

Used C.Sugar

1 1/2 × 5

= 3/2 × 5

= 15/2 cups

Remaining C.Sugar

75/8 - 15/2

=75/8 - 60/8

=15/8

=1 7/8 cups

Answer

1 7/8 cups remaining

The request lacks the necessary details to determine the subject or educational grade level, and therefore an academic answer can't be provided.

Unfortunately, the query you've provided does not contain enough context or specific content for me to determine neither the subject nor the educational grade level it pertains to. It appears to be a general request for assistance rather than a question related to an academic topic. For future inquiries, please ensure you include the question itself and any pertinent details that would enable me to provide a comprehensive, educational, and helpful response that directly addresses your academic needs.

Answer:

Radius : 2

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

The radius of the circle with the equation x² + y² = 4 is 2 units, calculated by taking the square root of the right-hand side of the equation.

The question requires us to find the radius of a circle given its equation. The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. The given equation, x² + y² = 4, indicates that the circle is centered at the origin (0,0) and the radius is the square root of 4.

To calculate the radius, we take the square root of 4:
r = √4 = 2.

Therefore, the radius of the circle is 2 units.

The length of UV is 6 in because it is parallel to WX.

Find the length of TV:

[tex]TV^{2} =\sqrt{TU^{2} +TV^{2}}[/tex]

[tex]TV^{2} =\sqrt{12^{2} +6^{2}}[/tex]

[tex]TV^{2} =\sqrt{144+36}[/tex]

[tex]TV^{2} =\sqrt{180}[/tex]

[tex]TV =6\sqrt{5} = 13.41640786[/tex]

The length of VX is 9 in because it is parallel to UW.

[tex]TX^{2} =\sqrt{TV^{2} +VX^{2}}[/tex]

[tex]TX^{2} =\sqrt{180 +9^{2}}[/tex]

[tex]TX^{2} =\sqrt{180 +81}[/tex]

[tex]TX^{2} =\sqrt{261}[/tex]

[tex]TX =16.15549442[/tex]

The value of TX is 15 in

According to Pythagoren theorem

Hyp² = Base² + Perp²

Putting the values

Hyp² = 12² + 9²

Hyp²  = 144 + 81

Hyp² = 225

taking square root on both sides

Hyp = 15

The solution to the equation j/3 = 4.5 is j = 13.5

From the question, we have the following parameters that can be used in our computation:

j/3 = 4.5

Multiply both sides of the equation by 3

So, we have

3 * j/3 = 4.5 * 3

Evaluate the products

This gives

j = 13.5

Hence, the solution to the equation is 13.5

Read more about equations at

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2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2

Answer:

C) 3 x 1

Step-by-step explanation:

First, you round 2.75 to 3 because of the rounding rule- "If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up." Then you round 1.25 to 1 because of the rounding rule. Then you get 3 x 1!

Hope this helps-

maggbaron765

Answer:

[tex]-5[/tex]

Step-by-step explanation:

We want to evaluate  -9-(-4).

This is the same as [tex]-9+4[/tex].

We can again rewrite this as [tex]4-9[/tex]

Since we are subtracting a larger number from a smaller number, the result will be negative.

Therefore our expression evaluates to [tex]-5[/tex]

The second option is correct.

The volume of a cylinder,

πr^2h => π x 3^2 x 2.033 = 57.48 cubic ft

67 cubic feet Tank hold 500 Gallons

57.48 cubic feet Tank will hold less than 500 Gallons

Yes you can win.

The volume of a cylinder in cubic feet is equal to π times the radius in feet squared times the height in feet. π is roughly equal to 3.1415. If you know the diameter of the cylinder, you can find the radius by dividing the diameter by two, or just use our circle diameter calculator.

To calculate the volume of a cylinder, you need the radius or diameter of the circular base or top and a cylinder's height. The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.

Cubic feet by multiplying three linear measurements—length, width, and height—in feet.π r2 h

The volume of a cylinder is given by the formula – π r2 h, where r is the radius of the cylinder and h is the height.

Learn more about volume of a cylinder, refer

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just about 49. cents a person

Answer:

99.55 – 40x = 19.95 ; $1.99

Step-by-step explanation:

Answer: $1.99

The answer is 120 because 13 times 8 equals 104, and all you have to do is find the base edge length of the triangle which is found by subtracting 13 from the 17 and getting 4 for the triangle base length, multiplying it by the height (8) which you get 32, dividing it by two to get 16, add 104 and there's your answer.

1: Expression: 4500-2000

Answer: 2500 left to go

2: Expression: 20x

Answer: 40 centimeters

3: Expression: You can easily write and evaluate an expression based off of the terms/values used in the problem. If Stacy runs 5 miles and wants a goal of 10 miles, the expression would be 10-5 or 5+5. If Tom wants to give each of his 4 friends 2 cookies, the expression would be 4 • 2 (multiplication). If Jonny wants to give his sister half of his 50 cards, the expression would be 50 divided by 2

Answer:

d. expression: 4500 - 2000 = , amount left to go : 2500

e. expression : 20×2= , amount rattlesnake grows in 2 years: 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of a circle in a standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2-16x+y^2=36\\\\x^2-2(x)(8)+y^2=36\qquad\text{add}\ 8^2\ \text{to both sides}\\\\\underbrace{x^2-2(x)(8)+8^2}_{(*)}+y^2=36+8^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\(x-8)^2+(y-0)^2=36+64\\\\(x-8)^2+(y-0)^2=100\\\\(x-8)^2+(y-0)^2=10^2\\\\\text{Therefore}\\\\center:(8,\ 0)\\radius:10[/tex]

Answer:

squrt6(84)

Step-by-step explanation:

By the law:

squrtn(a^m) = a^(m/n)

Best regards

Answer:

Step-by-step explanation:

$1200+$600+$350+$150+$300+$400=$3000

=12*$3000=$36000

rent= 1200*100/3000=40%

food=600*100/3000=20%

trans=350*100/3000=11.7%

utilities=150*100/3000=5%

insurance=300*100/3000=10

taxes=400*100/3000=13.3%