The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall? A. 0.81 m B. 1.99 m C. 4.09 m D. 4.47 m

Answer: 16

Step-by-step explanation:

A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.

22 x 22 = 484 (under 500)

23 x 23 = 529 (over 500)

Therefore, the perfect square must be 484.

Subtract 484 from 500:

500 - 484 = 16

16 is the answer :)

Answer:

Range is the answer you get when you subtract the lowest number in a set of numbers from the highest number in the same set.

Step-by-step explanation:

Example

What is the range of 2,6,10,5,7 and 9

lowest number=2

highest number=10

range=10-2

range=8

Answer:

Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.7 is bigger than 1

2/3 is smaller than 1

Answer:

yea its false it should go 2/3 1 1.65 1.7

Step-by-step explanation:

Answer: (1/2) m

Step-by-step explanation:

1/2 of a m=(1/2) m

If you want to make it more comprehensive, I am going to provide you with some examples

Applying [m] goes with the same pattern

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

The coordinates of the point (x, y).

x is in the DOMAIN

y is in the RANGE

From the graph we have the points

(1, 2) → x = 1, y = 2

(2, 1) → x = 2, y = 1

(3, 4) → x = 3, y = 4

(5, 2) → x = 5, y = 2

DOMAIN = {1, 2, 3, 5}

RANGE = { 1, 2, 4}

/we only take the repeating element once/

Answer:

-2

Step-by-step explanation:

300 ft * (1 mile)/(5280 ft) = 0.057 miles = 5.7 * 10^-2 miles

Answer:

The answer is b

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

35 - 12 + 13 + 39 - 25 = 50

Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

Answer:

314 in. cubed

Step-by-step explanation:

The formula to find the area of a circle is:

A= πr²

Pi is 3.14 so substitute that in

A= 3.14(r)²

The radius is 10 because the radius is half of the diameter.  Half of 20 is 10.  So substitute that in the radius symbol.

A= 3.14(10)²

Square 10, which is 10 times 10.  10 times 10 equals 100.

A= 3.14(100)

100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right.  It gets you 314.0 which is just 314.

A= 314

The 325.623 round to the nearest 10 is 325.6.

Rounding a number of means simplifying it while retaining its value close to what it was. The end output is less accurate but more usable. For instance, 73 rounded to the closest ten is 70, because 73 is closer to 70 than 80.

The tens' digit is the rule for rounding to the closest a hundred. If the number is five or more, round up. If the number is four or less, round down. Consider the number formed by the digits in the tens and one's columns when rounding to the nearest hundred.

To round to the next thousand, write down the multiple of 1000 closest to our number. The thousands' digit will either remain unchanged or rise by one.

Therefore, the nearest 10 is 325.6.

To learn more about round figures, refer to the link:

https://brainly.com/question/12342753

#SPJ2

Answer:

1/3

Step-by-step explanation:

The simplest form of 2/6 is 1/3. You can do 2/6*.5/.5 to get 1/3

You can do other fractions such as 4/12, 8/24, as long as it the numerator maintains a ratio of 1:3

Answer:

2

Step-by-step explanation:

area of a parallelogram : b x h (base x height)

since there are no measurements, we are looking at the squares

im assuming that the squares are 1x1 squares

hence, for the base of the parallelogram, we are counting the squares

i added the halves together and got the answer 2

then we need to take the height

which im also assuming is 1

b x h = 1 x 2

a = 2

sorry if this is wrong but the angle that it was taken at, is not very clear ; (

Answer:

1990+(10h)-2200

or

1990+(10x39)-2200

Step-by-step explanation:

he already has 1990

He earns $10 per hour

he works for 39 hours

$2,200 needed for a motorcycle

1990+(10h)-2200

or

1990+(10x39)-2200

Answer:

x= 2

x= -3

Step-by-step explanation:

Solving as normal quadratic equation:

Roots are 2 and -3

Answer:

Step-by-step explanation:

2x² + 2x - 12 = 0

Divide all the terms by 2 to simplify the terms

That's

x² + x - 6 = 0

Write x as a difference

That's

x² + 3x - 2x - 6 = 0

Factor x out of the equation

That's

x( x + 3) - 2x - 6 = 0

Factor out - 2 from the expression

x(x + 3) - 2( x + 3) = 0

Factor out x + 3 from the expression

That's

( x + 3)(x - 2) = 0

Hope this helps you

Answer:

6(x-22) or 6x-132

Step-by-step explanation:

translate into english : it says 6 times difference of x and 22, so you would need to do the subtraction first before you multiply by 6 which you get 6(x-22)!

Answer:

-4

Step-by-step explanation:

6*x-22

keep 6x on the LHS and -22 on the RHS

leave x in LHS and divide -22 with 6 on the RHS

the answer will come -4

Answer:

30

Step-by-step explanation:

We are given the expression:

[tex]8-4x+5y[/tex]

and asked to evaluate given x=2 and y=6.

Therefore, we must substitute 2 for x and 6 for y.

[tex]8-4(2)+5(6)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Multiply 4 and 2.

4*2= 8

[tex]8-8+5(6)[/tex]

Multiply 5 and 6.

5*6=30

[tex]8-8+30[/tex]

Subtract 8 from 8.

8-8=0

[tex]0+30[/tex]

Add 0 and 30.

[tex]30[/tex]

The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.

Answer:

the three terms can be combined and reduce to:

[tex]6\,x\,y^2\,\sqrt{5\,x}[/tex]

Step-by-step explanation:

Start by extracting all perfect square factors from the square root in order to simplify the terms:

First term:  [tex]x\,\sqrt{5\,x\,y^4}=x\,y^2\,\sqrt{5\,x}[/tex]

Second term:  [tex]\sqrt{405\,x^3\,y^4} =\sqrt{3^4\,\,5\,\,x^2\,\,x\,y^2\,y^2} =9\,x\,y^2\,\sqrt{5\,x}[/tex]

Third term:  [tex]-\sqrt{80\,x^3\,y^4} =-\sqrt{2^4\,\,5\,x\,x^2\,y^2\,y^2} =-4\,x\,y^2\,\sqrt{5\,x}[/tex]

Notice that all of the terms are like terms (contain the same radical part and variable part) so they can be combined:

[tex]\,x\,y^2\,\sqrt{5\,x}+9\,x\,y^2\,\sqrt{5\,x}-4\,x\,y^2\,\sqrt{5\,x}= 6\,x\,y^2\,\sqrt{5\,x}[/tex]

Answer: b on edge2021 6xy^2sqrt 5x

Step-by-step explanation: its on edge and yeah...like me up pls and thank you!

Answer:

C is a quotient

Step-by-step explanation:

quotient it the number you get from equally dividing a number

answer:

1. 6a+12

2. 6c-8

3. 9c+7

4. -6c-5

5. 8-20k-8m

6. 6k+2

7. 2p

8. 7y+20

9. 3d-2f

10. 18a+4

11. 31f+6

12. 18k+6m-12

13. 4m

14. 2c

15. 6b+5

16. -2b+8a-1

17. f+3d-2

Hey! i just want to say that it's very easy when you just add variables with other same variable. for example, 2m+m. 2+1=3! and just pop the variable M in there. which equals 3m! super easy! right? hope this helped

Answer:

Infinitely many solutions.

You basically have just one equation.

The top equation is the bottom equation times 5.

Step-by-step explanation:

Answer: C. Infinite many solution

Step-by-step explanation:

#1 simplify the first equation: 20x-5y=5

since the GCF in it is 5, we factor out 5

                   4x-y=1

#2 compare the first and the second equation

                     [tex]\left \{ {{4x-y=1} \atop {4x-y=1}} \right.[/tex]

we can see that both equation are same, which means they present the same line.

Thus, they overlap and they have infinite many solution

Answer:

0.22, 15%, 1/7, 12%, 1/9

Step-by-step explanation:

Showing all given numbers in decimal form rounded to hundredths:

Putting them in the order from the greatest to least:

Same order with original numbers:

Matching with answer choices:

Answer:

C. 50 minutes

Step-by-step explanation:

each time, 50 people can aboard. to calculate how many times people aboard, divide 250 by 50, equals 5

each time to aboard takes 10 minutes, so multiply 5 by 10 equals 50minutes.

Answer:

11565 km

Step-by-step explanation:

The computation is shown below:

But before reaching the final solution first we need to do the following calculations

The angle lies between the Galapagos  and  Nauru is

= 90° + 166.50°

= 256.5°

Since the sum of angle is 360 degrees

So the major arc and the minor arc is

= 360° -  256.5°

= 103.50°

Now the angles lies between galapagos islands is

= 180°  - 90°

= 90°

And, between the naura island is

= 180°  - 166.50°

= 13.5°

Now the total of this two island is

= 90°  + 13.5°

= 103.5°

The length is

[tex]= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}[/tex]

= 11565 km

Answer:

i think its 0.43 but im not sure i hope this helps

Step-by-step explanation:

Answer:13/29

Step-by-step explanation:

\text{Fill out totals:}

Fill out totals:

Has a brother Does not have a brother Total

Has a sister 7 14 21

Does not have a sister 6 2 8

Total 13 16 29

\text{Number of students with a brother: 13}

Number of students with a brother: 13

\text{Number of students in the class: 29}

Number of students in the class: 29

\text{Probability: }\frac{13}{29}

Probability:  

29

13

​

Answer:

She saves the same amount of money, it doesn't make sense to represent the amount saved and number of months with one constant rate.

Step-by-step explanation:

Because the se amount is saved every month, it makes ot linear, and then unnecessary to represent the amount saved and the number of months with one constant rate.

Answer:

Step-by-step explanation:

You didn't specify where the point P is so there are two posibilites:

1.

P₁Z is dividing angle OZQ

then:

      m∠P₁ZQ = m∠OZQ - m∠OZP₁ = 125° - 62° = 63°

2.

P₂Z is outside angle OZQ

then

    m∠P₂ZQ = 360° - (m∠OZQ + m∠OZP₂) = 360° - (125° + 62°) = 173°

===================================================

Explanation:

Answer:

18 m

Step-by-step explanation:

The given situation is equivalent to a right angled triangle as shown in the diagram attached.

AB is the height at which tree was cut.

And the top touches the ground at a point C.

So,

AB = 5 m and

AC = 12 m

Here, we have to find original height of the tree.

Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)

Let us consider the [tex]\triangle ABC[/tex].

As per pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m[/tex]

Therefore the answer is :

Height of tree = 5+13 = 18 m

Answer:

C.  The number 5/11 is a rational number because it is a repeating decimal.

Step-by-step explanation:

The importance of this question is to distinguish a rational number from an irrational number.

A rational number can be written as a ratio or a set of repeating decimals.

An irrational number cannot be written as a ratio and cannot be represented by repeating decimals.

So out of the four options you have, the first two, A and B, are false, C is true, and D is false since rationality doesn't have anything to do with signs.

Cheers.

Answer:

Made a number line for this.

Step-by-step explanation:

Answer:

C. is the answer

Step-by-step explanation: