How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed?
a.
119
c.
2520
b.
16,807
d.
120

Answer:

Area of Plane Shapes-

1. Triangle Area = ½ × b × h b = base h = vertical height

2. Square Area = a2 a = length of side

Step-by-step explanation:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration. Surface area is the total amount of space that all of the surfaces of an object take up. It is the sum of the area of all the surfaces of that object.[1] Finding the surface area of a three-dimensional shape is moderately easy as long as you know the correct formula. Each shape has its own separate formula, so you'll first need to identify the shape you’re working with. Memorizing the surface area formula for various objects can make calculations easier in the future. Here are a few of the most common shapes you might encounter.

1

Define the formula for surface area of a cube.

2

Measure the length of one side.

3

Square your measurement for a.

4

Multiply this product by six.

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I think I cant tell what it says

An equivalent expression of (33 x 66) - 3 is 2175.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

We have an expression,

(33 x 66) - 3.

Solving further by using PEMDAS,

33 x 66 = 2178

Now,

(33 x 66) - 3,

= 2178 - 3

= 2175

Therefore, the solution is 2175.

To learn more about the PEMDAS;

https://brainly.com/question/36185

#SPJ2

[tex]S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52[/tex]

Answer: 52.

Making 'b' the subject of formula gives b = a² - 6

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

Learn more about subject of formula here:

https://brainly.com/question/10643782

#SPJ1

Answer:

2 21 degree angles

Step-by-step explanation:

An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:

180=138+2x

42=2x

21 degrees=x

Answer:

95

Step-by-step explanation:

The sum of any straight angle is 180 (Therom)

180 - (50 +35) =95

Answer:

Step-by-step explanation:

from the pic

cos(30deg) = 4√3 / y = √3 / 2

y = 4 * 2 = 8

sin(30deg) = x/y = 1/2

x = y/2 = 8/2 = 4

ans is x = 4, y = 8

Answer:

Step-by-step explanation:

As the given triangle is a right-angled triangle,

tan(30degree) = x / (4√3) = 1/√3

x = 4

sin(30degree) = x / y = 1/2

y = 8

Answer:

11.6km/h

Step-by-step explanation:

multiply 30 min by 2 to get to an hour

multiply 5.8 by 2 to get to km per hour

Answer:

average speed was 11.6 Kilometers per hour

Step-by-step explanation:

hope that helped

Answer:

7234.56 km³

Step-by-step explanation:

Volume = 4/3(πr³)

Volume = 4/3(3.14 * 1728)

Volume = 4/3(5425.92)

Volume = 7234.56

Units = km³

7234.56 km³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

1. make the denominators the same.

10/15+3/15= 13/15

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

9514 1404 393

Answer:

  67 million square miles

Step-by-step explanation:

The area of a sphere is given by ...

  A = 4πr²

So the area of the Earth is approximately ...

  A = 4π(4000 mi)² ≈ 2.01×10^8 mi²

The area of the 1/3 that is not covered by water is approximately ...

  (2.01×10^2 mi²)/3 = 6.7×10^7 mi²

The land area is estimated to be about 67 million square miles.

Answer:

The answer will be A k>-38

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong

Answer:

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 3in, 7in

Height of the trapezium = 5in

Therefore,

Area of the trapezium

[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \times height[/tex]

[tex] = \frac{1}{2} \times (7 + 3)in \times 5in[/tex]

[tex] = \frac{1}{2} \times 10in \times 5in[/tex]

= 5in × 5in

[tex] = {25in}^{2} [/tex]

Hence,

Area if the trapezium is 25 square inches (Ans)

Answer:

1,000,000

Hope this helps <3

Answer:

answer: 361.88

Hope that helps!

Answer:

13m

Step-by-step explanation:

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist

Answer:

Width: 16 in.,  Length:  18 in.

Step-by-step explanation:

Consecute even/odd problems seem a bit weird at first.

You choose a variable to represent the first integer, say  n .  Assume it's even (no symbolic way to tell!).  If  n  is even, then the next consecutive integer is  n + 2.  You add two because you want to skip one integer.

Width:  n

Length:  n + 2

Area is length multiplied by width, so

[tex]n(n+2)=224\\\\n^2+2n=224\\\\n^2+2n-224=0\\\\(n+14)(n-16)=0\\\\n+14=0 \text{ or } n-16=0\\\\n=-14 \text{ or }n=16[/tex]

The negative solution makes no sense, so use n = 16

Width: 16

Length: 18

Answer:

25

Step-by-step explanation:

Answer:

3 x 3^6

Step-by-step explanation:

I hope this helps >3.

Which expression is not equal to the expression shown?

3³ ÷ 3⁻⁴

Let's first solve all the equations and then check which equation is not equal to equation given in question.

⇒ 3³ ÷ 3⁻⁴ = 3³⁻⁽⁻⁴⁾

⇒ 3³⁺⁴ = 3⁷ = 2,187

⇒ 3⁻³ ÷ 3⁴ = 3⁻³⁻⁴

⇒ 3⁻⁷ = 0.000457

⇒ 3 × 3⁶ = 3⁷

⇒ 3⁷ = 2,187

⇒ 3⁷ ÷ 3⁰ = 3⁷ ÷ 1

⇒ 3⁷ ÷ 1 = 2,187

⇒ 3³ × 3⁴ = 3³⁺⁴

⇒ 3⁷ = 2,187

From the calculation of above equations, We have found that only Equation 2 ( option 1 ) 3⁻³ ÷ 3⁴ is not equal to Equation 1 ( question ) 3³ ÷ 3⁻⁴

Therefore, 3⁻³ ÷ 3⁴ ≠ 3³ ÷ 3⁻⁴

Hence, Option 1 is the correct answer.

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

[tex]\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}[/tex]

⠀

[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}[/tex]

⠀

Therefore,

⠀

Henceforth ,