a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of segment AC, then AB = BC.

AB = BC

3x - 8 = x + 12

2x - 8 = 12

2x = 20

x = 10

As per the given information, the value of x is 10. For understanding, check the calculations provided below.

A midpoint is a point that divides a line into two parts equally.

In the given diagram,

B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.

When a midpoint B divides equally then AB = BC

Given that,

AB = 3x-8 and BC = x+12

B is the midpoint of line segment AC.

So,

AB = BC

Substitute the expression and solve for x

AB = BC

3x-8=x+12

Subtract x,

⇒ 3x-x-8 = x-x+12

⇒ 2x-8=12

Add 8

⇒ 2x = 12+8

⇒ 2x = 20

divide by 2

∵ x = 10

Thus, the value of x is 10.

Learn more information about 'Midpoint' here:

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It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....

That means 65+61 = 126...

Angle DAB =126

Answer:

32000

Step-by-step explanation:

1.04x=33280

32000

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

Answer:

7.19 is the tip

Step-by-step explanation:

Take the amount of the bill and multiply by the tip percentage

47.96 * 15%

Change to decimal form

47.96 * .15

7.194

Round to 2 decimal places

7.19

Answer: $7.19

Step-by-step explanation:

15/100 = 0.15

We only want the tip, not the total cost:

Do 0.15 * $47.96 to get about $7.19

Answer:

[tex]4\frac{1}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]

[tex]\frac{27}{4} \div \frac{5}{3}[/tex]

[tex]\frac{27}{4} \times \frac{3}{5}[/tex]

[tex]\frac{27 \times 3}{4 \times 5}[/tex]

[tex]=\frac{81}{20}[/tex]

[tex]=4\frac{1}{20}[/tex]

Answer:

7 divided by 2

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Step-by-step explanation:

If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

Answer:

70%

Step-by-step explanation:

Total students = 300

Male students = 90

Female students = 300 - 90 = 210

Percentage of female students

[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]

Answer:

70%

Key Points:

Unknowns:

We are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.

300 overall students - 90 male students = ____ female students

Simplify.

Given our above equation, we now know that there are 210 female students at the school.

In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.

[tex]\frac{210}{300} = ?[/tex]

Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7

Now, you need to multiply it by 100 so that you can create a percentage.

0.7 × 100 = 70%

Therefore, 70% of the students are female.

Checking our work:

A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.

If 70% is the correct percentage for female students, the male and female percentages should add up to 100%

Finding the male percentage:

Similar to how we found the percentage of females at the school, we must  divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.

[tex]\frac{90}{300} = ?[/tex]

Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3

Next, multiply your answer by 100 to get our percentage.

0.3 × 100 = 30%

Knowns:

Add the female percentage with the male percentage: 70% + 30% = 100%

As predicted, our answer was 100%. Therefore, 70% of the students are female.

Learn more about solving for percentages by reviewing these answers!

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Answer:

132.5 inches

Step-by-step explanation:

The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10

then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!

Answer:

Step-by-step explanation:

Triangle area

A=h_b*b/2

=8.5*10/2

=42.5in^2

Rectangle area

A=lw

=9*10

=90

Add all together

42.5+90

=132.5in^2

Answer:

-18p^5 - 30p^4 + 6p^3

Answer:

Step-by-step explanation:

Answer: Trevor drinks 3 3/4 pints against his coach's 4 pints

Step-by-step explanation:

8 ounces per day x 8 times = 64 ounces = 8 cups = 4 pints

Water bottle holds 1 1/4 pints x 3 = 3 3/4 pints.

Answer:

x=24

Step-by-step explanation:

Hope this helps

Answer:

24°

Step-by-step explanation:

Take 2 lol

Once again, AOC is a straight angle, meaning it's 180°.

All you have to do is 180° - 156° and you'll get 24°, your answer.

Answer:

its not very clear can you take a picture again?

Step-by-step explanation:

Answer:

3x^2- 30x+35=f(x)

Step-by-step explanation:

3(x^2+25-10x)-40

3x^2+75-30x-40

3x^2- 30x+35=f(x)

Answer:

up 1

Step-by-step explanation:

The plus one is on the outside so it is up the number which is one

Answer:

24

Step-by-step explanation:

Answer:

52 days

Step-by-step explanation:

if compounding daily we can see what 1 year accumulates using the function

360 / interest rate = 360/4.1 = 87.8048780488 = 87.80 per day

We can use inverse of the balance profit to use the exact amount difference to then divide into the date of withdrawal

$13070- 8500 = 4570

4570/ 87.8048780488 = 52.04 = 52 days.

Step-by-step explanation:

marmiad=10

trident=6

pearls =4

10+6×4

=16×4

=64

hey!!

Answer:34

Step by step explanation:

4+4+4=12

4+4+10=18

6+10+10=26

10+6*4=34

hope it helps..

Answer:

Positive Coterminal Angles = 60°,780°

Negative Coterminal Angles = -300°, -660°

Step-by-step explanation:

To find nearest two coterminal angle of 420°:

1) Subtract 360° from 420°:

420°- 360° = 60° (First Positive Coterminal Angle)

2)Add 360° to 420°:

420°+ 360° =780° (Second Positive Coterminal Angle)

To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.

1) Substract 360° from 420°

420°- 360° = 60°

Which is still a positive value.

2) Again Substract 360° from 60°

60°- 360° = -300° (First Negative Coterminal Angle)

3)Subtract 360° from -300°

-300°- 360° = -660° (Second Negative Coterminal Angle)

Answer:

C

Step-by-step explanation:

[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]

so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

the unit rate is 3

Answer:

Step-by-step explanation:

(4x + 3)(4x+3) is the factor

the third one is the solution

Answer:

i believe it is b

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

a−b=aa=1

Step-by-step explanation:

Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.

Answer: i hope this is correct take care

Step-by-step explanation: