I need the answer to this as well

Answer:

[tex] \sf \: a5 = 769[/tex]

Answer:

  21°

Step-by-step explanation:

Dilation is a similarity transformation. It does not change angles. It changes lengths proportionally.

∠A'B'C' ≅ ∠ABC = 21°

Answer:

x + 29 = 41

Step-by-step explanation:

Trevon received some money, but we don't know how much, so we will represent that with x.

The money he received will be add the amount he had last friday, $29.

The equation will equal his current amount, $41.

~Denki Kaminari here~

Answer:

5t\sqrt(6su) (THE SECOND ONE)

Step-by-step explanation:

simplify the radical by breaking it up into known factors, assuming positive real numbers.

hope this helps :D

Answer:

the answer to pt 1 is D. x=1.5 x=0 or x=6

and the answer to part 2 is C. x=1±I√29/5

Step-by-step explanation:

1. The solution of this equation is x = 0 or x = 6 which is option D.

2. The solution of this equation is [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex] which is option C.

Use the concept of quadratic equation defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.

The quadratic equation has the following generic form:

ax² + bx + c = 0

1. The given quadratic equation is,

3x = 0.5x²

Rearranging it,

0.5x² - 3x = 0

Common out x,

x(0.5x - 3) = o

Then we have,

x = 0 or,  

0.5x - 3 = 0

Add 3 on both sides,

0.5x  = 3

Divide both sides by 0.5,

x = 3/0.5

x = 6

Hence the solution of this quadratic equation is,

x = 0 and x = 6 which is option D.

2. The given quadratic equation is:

0 = 5x² - 2x + 6

It can be written as,

5x² - 2x + 6 = 0

Since we know the quadrature formula for ax² + bx + c = 0 is,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Here we have,

a = 5

b = -2

c = 6

Substitute values into the formula,

[tex]x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i[/tex]

Hence, option C is correct.

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The complete question is:

Solve each of the quadratic equations.

PT. 1

3x = 0.5x²

A. x = -6 or x = 0

B. x = -4 or x = 3

C. x = -2 or x = 1.5

D. x = 0 or x = 6

PT.2

0 = 5x² - 2x + 6

A.  [tex]x = \dfrac{1 \pm 3i}{5}[/tex]

B. [tex]x = \dfrac{1 \pm i\sqrt{11}}{5}[/tex]  

C. [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex]

Answer:

  184 5/7 pages

Step-by-step explanation:

There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...

  1/7 × 1293 pages = 184 5/7 pages

Madeline will need to read 184 5/7 pages each day in order to finish.

Answer:

1111/1250

Step-by-step explanation:

Hey there!

To find what fraction represents the decimal shown, you can take each answer choice, and divide the two numbers

We can do this because a fraction is a simple way of dividing two rational numbers

Our answer is 1111/1250

In order to check if this is correct, we can just divide 1111 and 1250

When you divide this, you get 0.8888...

So the fraction that represents 0.888... is 1111/1250

A fraction that represents the decimal 0.8888 is: 1111/1250

In Mathematics, fractions are represented as a numerical value, can be defined as the parts of a whole. A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.

Given is decimal number 0.8888... we need to convert it into a fraction,

Since the number has 4 decimal places, then the first thing to do is multiply and divide the number by 10000.

We have then:

0.8888* (10000/10000) = 8888/10000

Simplifying we have:

8888/10000 = 4444/5000

4444/5000 = 2222/2500

2222/2500 = 1111/1250

Hence, the fraction that represents the decimal 0.8888 is: 1111/1250

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Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:
Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer chioces:

-----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

-----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

-----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

-----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

-----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

-----------------------------------------------------------------------------------------------------------

[RevyBreeze]

B is the right answer

I hope it will help you

B

is the answer. Good luck!!

Given :

⠀

To Find :

⠀

Solution :

⠀

Now,

⠀

According to the Question :

⠀

[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]

⠀

Therefore,

⠀

Hence,

Answer:

The measurement of each angle is 58.4° and 31.6°

Step-by-step explanation:

Given :-

To Find :-

Solution:-

let one angle be x and other be x - 26.8°

we know that, Sum of complementary angle is 90°

X + X - 26.8° = 90°

2x = 90° + 26.8°

x = 58.4

So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6

Explanation:

How many surface has a pyramid?

5 Faces

It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square.

Step-by-step explanation:

AB = x + 5 ...................

Answer:

the ansewr is eight percent

Answer:

no roots.

Step-by-step explanation:

1)   [tex]\sqrt{8x+16}=2-8; \ - \ correct;[/tex]

2)   [tex]\sqrt{8x+16}=-6; \ - \ correct;[/tex]

note, the value after operation 'square root' cannot be negative ('-6' is on the right side!), then

3) it means, the given equation has no real roots.

su masa atómica es de 4 creo

Answer:

It will take Lainey 9 seconds to travel from top to bottom

Further explanation:

The formula of speed will be used to calculate the time to reach from top to bottom of the slide.

Given

\begin{gathered}Distance=d=423\ feet\\Speed=s=47\ feet\ per\ second\end{gathered}

Distance=d=423 feet

Speed=s=47 feet per second

The formula for speed is:

s=\frac{d}{t}s=

t

d

Putting the values of distance and speed in the formula:

\begin{gathered}47=\frac{423}{t}\\t=\frac{423}{47}\\t=9\ seconds\end{gathered}

47=

t

423

t=

47

423

t=9 seconds

It will take Lainey 9 seconds to travel from top to bottom

Keywords: Speed, distance

Learn more about speed

Check the picture below.

so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}[/tex]

1. m∠5 = 75° (corresponding angles theorem)

2. 180°

3. m∠3 = 55° (triangle sum theorem).

4. A straight angle = 180°

5. m∠2 = 50° (angles on a straight line)

According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.

1. m∠5 = m∠1 = 75° (corresponding angles are congruent)

2. Measure of the sum of all angles in a triangle = 180°

3. To find ∠3, we would have the following equation:

m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).

Substitute and solve

m∠3 = 180 - 50 - 75

m∠3 = 55°

4. A straight angle = 180°

5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)

Substitute and solve

m∠2 = 180 - 55 - 75

m∠2 = 50°

Learn more about triangle sum theorem on:

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Answer:

That would be week 2 and 4 (B). They are both at 12 students attending

Answer:

option d

Step-by-step explanation:

[tex]\sf \boxed{a^m*a^n = a^{m+n}\\\\}[/tex]

[tex]\sf \left(\frac{m^{-1}m^{5}}{m^{-2}} \right)^{-3} =\left(\dfrac{m^{-1+5}}{m^{-2}}\right)^{-3}[/tex]

                 [tex]\sf = \left(\dfrac{m^4}{m^{-2}}\right)^{-3}\\\\[/tex]

[tex]\boxed{\dfrac{a^{m}}{a^{n}}=a^{m+n}}[/tex]

                    [tex]\sf = \left(m^{4-[-2]}\right)^{-3}\\\\ =\left(m^{4+2}\right)^{-3}\\\\ = \left(m^6\right)^{-3}\\\\[/tex]

[tex]\boxed{(a^{m})^n=a^{m*n}}[/tex]

                    [tex]\sf= m^{6*(-3)}\\\\ = m^{-18}[/tex]

[tex]\boxed{a^{-m}=\dfrac{1}{a^m}}[/tex]

                    [tex]\sf=\dfrac{1}{m^{18}}[/tex]

Answer:

[tex]D)\frac{1}{m^{18} }[/tex]

Step-by-step explanation:

Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

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

Add -1 and 5.

[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]

Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].

[tex](m^{4} m^{2} )[/tex]

Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](m^{4+2} )^{-3}[/tex]

Add 4 and 2.

[tex](m^{6} )^{-3}[/tex]

Multiply the exponents in [tex](m^6)^{-3}[/tex]

Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].

[tex]m^{6*-3}[/tex]

Multiply 6 by -3.

[tex]m^{-18}[/tex]

Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].

[tex]\frac{1}{m^{18} }[/tex]

Answer:

If the broker Josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, then the bonds have a yield 1.35 percentage points higher than that of the stocks.

Step-by-step explanation:

Answer:

31 feet

Step-by-step explanation:

circumference = pi × diameter

pi × diameter = 31.4 (10×3.14)

Answer: 31 ft

Step-by-step explanation:

circumference = pi × diameter

pi × diameter = 31.4 (10×3.14)

Answer:

False

Step-by-step explanation:

Hey there!

If this is a sum of cubes, this means that both numbers have whole numbers as the cube root of that number

The cube root of 125 is 5

But the cube root for 144 is a decimal meaning this is not a sum of cubes

Answer:

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

Corect choice is C

Answer:

The distance is the absolute value of the difference.

Step-by-step explanation:

Given table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}[/tex]

The difference is column 4.

The distance is column 5.

The absolute value of a number is its positive numerical value.  It is denoted by a vertical line either side of the real number.

For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.

Taking the absolute values of the differences:

⇒ |-1| = 1

⇒ |5| = 5

⇒ |-3| = 3

Therefore, the distance is the absolute value of the difference.