What is a term used to describe two-dimensional figures with all sides and all angles congruent?

Answer:

a) What distance did he cover?

9 km

b) What was his displacement?

6.71kmSE

Step-by-step explanation:

a) What distance did he cover?

Total distance covered = 6km south + 3km east = 9km

b) What was his displacement?

Displacement =√( 6km)² + (3km)²

=√ 36 + 9

= √45

= 6.7082039325kmSE(SouthEast)

Approximately = 6.71kmSE

Answer: $1,110 is what they need

Step-by-step explanation:

520+ m= 1630

1630- 520= 1110

m= 1110

4 inches

e - 14 = 2c

22 - 14 = 2c

2c = 8

c = 8 : 2

c = 4 in

Answer:

[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Let the height of the emu be [tex]e[/tex].

Let the height of the stuffed canary be [tex]s[/tex].

[tex]e=22[/tex]

[tex]e=2s-14[/tex]

Substitution method.

[tex]22=2s-14[/tex]

Solving for the height of the stuffed canary.

Adding 14 to both sides.

[tex]36=2s[/tex]

Dividing both sides by 2.

[tex]18=s[/tex]

The height of the stuffed canary is 18 inches long.

[tex]\rule[225]{225}{2}[/tex]

Answer:

The answer equals -8

Step-by-step explanation:

Order of Operations: BPEMDAS

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

[tex](\sqrt{4-3i} -\sqrt{4+3i})^6[/tex]

Step 2: Expand

[tex](\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})[/tex]

Step 3: FOIL first 2

[tex](\sqrt{4-3i} -\sqrt{4+3i})^2 = -2[/tex]

Step 4: Replace square roots with -2

-2(-2)(-2) = (-2)³ = 8

Answer:

Hey there!

Velocity is a vector, not a scalar because it also has direction.

Let me know if this helps :)

Answer:

Velocity because it has direction

Answer:

25+z

Step-by-step explanation

the sum is adding them?

The sum of the number 25 and the letter will be (25 + z).

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sum of the number 25 and the letter is given by putting the plus sign between the number 25 and the letter z. Then the expression will be

⇒ (25 + z)

The sum of the number 25 and the letter will be (25 + z).

More about the Algebra link is given below.

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Answer:

[tex]\large \boxed{\mathrm{-1.5}}[/tex]

Step-by-step explanation:

-1 1/2

1 over 2 is one half or 0.5

-1+0.5 = -1.5

Answer:

[tex] \boxed{\red{\bold{- 1.5}}}[/tex]

Step-by-step explanation:

[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]

hope this helps you.

will give the brainliest!

follow ~Hi1315~

Answer:

[tex] \boxed{ \bold{ { \sf{height \: = \: 17.29 \: cm}}}}[/tex]

[tex] \boxed{ \bold{ \sf{base = 51.87 \: cm}}}[/tex]

Step-by-step explanation:

Let the height of a parallelogram be 'x'

Base of a parallelogram be 3x

Area of a parallelogram ( A ) = 897 cm²

Base ( b ) = ?

Height ( h ) = ?

First, finding the height of a parallelogram ( x )

[tex]\bold{ \boxed{ \sf{area \: of \: a \: parallelogram \: = \: base \: \times \: height}}}[/tex]

[tex] \dashrightarrow{ \sf897 = 3x \times x}[/tex]

[tex] \dashrightarrow{ \sf{897 = 3 {x}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{3 {x}^{2} = 897}}[/tex]

[tex] \dashrightarrow { \sf{ \frac{3 {x}^{2} }{3} = \frac{897}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = 299}}[/tex]

[tex] \dashrightarrow{ \sf{x = \sqrt{299} }}[/tex]

[tex] \dashrightarrow{ \sf{x = 17.29}}[/tex]

Height of a parallelogram = 17.29 cm

Finding the base of the parallelogram

[tex] \sf{base \: of \ \: a \: parallelogram = 3x}[/tex]

⇒[tex] \sf{base \: of \: a \: parallelogram = \: 3 \times 17.29}[/tex]

⇒[tex] \sf{base \: of \: a \: parallelogram = 51.87 \: cm}[/tex]

Base of a parallelogram = 51.87 cm

Hope I helped!

Best regards! :D

Answer:

-2x-y

Step-by-step explanation:

The expression that represents the sum of (-3x - 4y) and (x + 3y) in simplest terms is -2x - y by combining like terms.

To simplify the expression, follow these steps:

Distribute the negative sign: Multiply the terms inside the parentheses by -1 to distribute the negative sign.

[tex]-3x - 4y + x + 3y[/tex]

Group the like terms: Combine the terms with the same variable.

In this case,  -3x and x, as well as -4y and 3y.

[tex](-3x + x) + (-4y + 3y)[/tex]

Combine the x terms: -3x + x equals -2x.

[tex]-2x + (-4y + 3y)[/tex]

Combine the y terms: [tex]-4y + 3y[/tex] equals -y.

[tex]-2x - y[/tex]

Therefore, the simplest form of the expression is [tex]-2x - y[/tex].

In summary, the expression [tex](-3x - 4y) + (x + 3y)[/tex] simplifies to [tex]-2x - y[/tex].

Learn more about like terms here:

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Answer:

2:7

Step-by-step explanation:

if 2/9 of the class are women then 7/9 of the class are men.

[tex]\frac{2}{9}:\frac{7}{9}\\ 2*9:7*9\\18:63\\\frac{18}{9}:\frac{63}{9}\\2:9[/tex]

Answer:

3.590.04

Step-by-step explanation:

The formula given for total amount saved when compounding interest =

A = P(1 + r/n)^nt

Where

A = Total amount saved after t years

P = Principal or initial amount saved

r = Interest rate

n = compounding frequency

t = time in years

From the above question

P = 3000

r =6% = 0.06

n =compounded monthly = 12

t = 3 years

Hence,

A = 3000(1 + 0.06/12)^3 × 12

A = 3000(1 + 0.06/12)^36

A = 3,590.04

Therefore, the total amount Imran will have in his account after 3 years = 3,590.04

Answer:

There is a sub-field of geometry called formal geometry which is related to algebraic geometry and deals with topics such as formal schemes , topological rings , the comparison theorem in algebraic geometry , the Grothendieck existence theorem.

Informal geometry have the topics of definitions, measurements, and constructions of geometric shapes and figures. No attention to formal proofs is given. Subtopics include points, lines, angles, triangles, quadrilaterals, circles, area, and perimeter.

Step-by-step explanation:

Answer:

[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]

Step-by-step explanation:

To complete the square, we first have to get our equation into [tex]ax^2 + bx = c[/tex] form.

First we add 16x to both sides:

[tex]x^2 + 16x + 62 = 0[/tex]

And now we subtract 62 from both sides.

[tex]x^2 + 16x = -62[/tex]

We now have to add [tex](\frac{b}{2})^2[/tex] to both sides of the equation. b is 16, so this value becomes [tex](16\div2)^2 = 8^2 = 64[/tex].

[tex]x^2 + 16x + 64 = -62+64[/tex]

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because [tex]8\cdot8=64[/tex] and [tex]8+8=16[/tex].

[tex](x+8)^2 = -62 + 64[/tex]

We can now take the square root of both sides.

[tex]x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}[/tex]

We can now isolate x on one side by subtracting 8 from both sides.

[tex]x = \pm\sqrt{2} - 8[/tex]

So our solutions are

[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]

Hope this helped!

Answer:

[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]

Step-by-step explanation:

To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:

[tex]f(x)=5-x^2[/tex]

Set f(x) to 0:

[tex]0=5-x^2[/tex]

Add x^2 to both sides:

[tex]x^2=5[/tex]

Take the square root of both sides:

[tex]x=\pm\sqrt{5}[/tex]

So, our solutions are:

[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]

Answer:

Step-by-step explanation:

This number is real, negative and rational.

Answer:

a. 8.50

Step-by-step explanation:

each pound is 2 kilogram

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

Answer:

38.105

Step-by-step explanation:

The area of this triangle  = 0.5 * b * c * sin(A)

= 0.5 * 11 * 8 *sin(60)           sin(60) = [tex]\sqrt{3} /2[/tex] = .866025...

= 0.5 * 11 * 8 * .866025

= 38.105

Answer:

23.42

Step-by-step explanation:

because b was 11 making it the base

and c was 8 making it the side

you have to convert the 60degrees into ft

Answer:

-26

Step-by-step explanation:

[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]

=  [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]

= -26

Answer: The answer would be d. 3434

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

2a^2\sqrt{35a}

Step-by-step explanation:

​  

 I hope this helped

​

Answer:

24x - 20

Step-by-step explanation:

Side = 6x - 5

Perimeter of square = 4 * side

                                  = 4 * (6x - 5)

Use distributive property

                                   = 4*6x - 4*5

                                   = 24x - 20

Answer:

24×-20

Step-by-step explanation:

formula=4L

4(6×-5)

24×-20

Answer:

d) 40.78 inches

Step-by-step explanation:

See attached for details

Answer:

see explanation

Step-by-step explanation:

(1)

5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis

= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms

= 3y - x

(2)

3 - 2(x + 2) = 6 ( subtract 3 from both sides )

- 2(x + 2) = 3 ( divide both sides by - 2 )

x + 2 = - 1.5 ( subtract 2 from both sides )

x = - 3.5

solution set = { - 3.5 }

(3)

The median is the middle value of the data in ascending order

1  4  4  7  8 ← in ascending order

       ↑ median = 4

The mean is the sum of the values divided by the count

mean = [tex]\frac{1+4+4+7+8}{5}[/tex] = [tex]\frac{24}{5}[/tex] = 4.8

The mode is the value which occurs most often

mode = 4

Thus the mode is equal to the median → C

(4)

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )

m = [tex]\frac{1-b-(b+1)}{1+a-(1-a)}[/tex]

= [tex]\frac{1-b-b-1}{1+a-1+a}[/tex]

= [tex]\frac{-2b}{2a}[/tex] ( cancel 2 on numerator/ denominator )

= [tex]\frac{-b}{a}[/tex] → d

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = -20

Step-by-step explanation:

7 + x = -13

(subtract 7 from both sides)

x = -20

Answer:

x=-20................

Answer:

0.9487

Step-by-step explanation:

a) The probability of having a defective product = p = 12% = 0.12

The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88

The number of DVD players = n = 50

X is the number of defective products.

The  probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using binomial:

P(X = 0) = [tex]C(n,x)p^xq^{n-x}=C(50,0)p^0q^{50-0}=\frac{50!}{(50-0)!0!}*0.12^0*0.88^{50-0}=0.0017[/tex]

P(X = 1) = [tex]C(n,x)p^xq^{n-x}=C(50,1)p^1q^{50-1}=\frac{50!}{(50-1)!1!}*0.12^1*0.88^{50-1}=0.0114[/tex]

P(X = 2) = [tex]C(n,x)p^xq^{n-x}=C(50,2)p^2q^{50-2}=\frac{50!}{(50-2)!2!}*0.12^2*0.88^{50-2}=0.0382[/tex]

P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513

P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%

Answer:

1.25+√3 or 2.9821 to the nearest ten thousandth.

Step-by-step explanation:

sin 60 = √3/2,  tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4

So we get 2 *√3/2 + 1 + 1/4

= √3 +  1.25

Answer:

[tex] \boxed{\sf 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \ 60^{\circ} = 2.98} [/tex]

Step-by-step explanation:

We know:

[tex] \sf sin \: 60 ^{ \circ} = \frac{ \sqrt{3} }{2} \\ \\ \sf tan \: 45 ^{ \circ} = 1 \\ \\ \sf cos \: 60 ^{ \circ} = \frac{1}{2} [/tex]

So,

[tex] \sf \implies 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \: 60^{ \circ} \\ \\ \sf \implies \cancel{2} \times \frac{ \sqrt{3} }{ \cancel{2}} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + \frac{1}{4} \\ \\ \sf \implies \sqrt{3} + 1 + 0.25 \\ \\ \sf \implies 1.25 + \sqrt{3} \\ \\ \sf \implies 1.25 + 1.73 \\ \\ \sf \implies 2.98[/tex]

Answer:

-77

Step-by-step explanation:

-57-(-13+33)

=-57-20

=-77