A flagpole that is 30 feet tall casts a shadow that extends 42 feet from the base of the flagpole. What is the distance from the top of the flagpole to the end of the shadow?

Answers

Answer 1
it’s the hypotenuse, so you would do a^2 + b^2 = c^2, let a equal 30 feet and let b equal 42 feet. hope this helps

Related Questions

****UGRENT****A popular board game company hired a group of students to build a gigantic float for an upcoming parade. The main attraction of the float will be two large number cubes. The side length of each number cube must be 18 ft.

How much material is need to cover all sides of both number cubes?

Answers

Wouldn't that be 108

Answer:3,888

Step-by-step explanation: hope I helped

I WILL GIVE BRAINLIEST!!!!
A line is shown on the coordinate grid.

Which is the equation of this line?

Question 5 options:

y = -1/3 X + 3


y = -3x - 1


y = 1/3 X - 1


y = 3x + 3

Answers

The equation of the line shown is y = 1/3x - 1

Because the slope is rise/run and in this case you rise 1 and run 3. And the y-intercept is -1 because that is where the line crosses the y-axis.

hope this helps :)
(3,0) and (0,-1)
slope = (0+1)/(3-0) = 1/3
b = -1
equation 
y = 1/3(x) - 1

answer
y = 1/3(x) - 1

PLEASE HELP ASAP!!!

A circular sinkhole has a circumference of 75.35 meter. A week later, it has a circumference of 150.42 meters.

a.) Estimate the diameter of the sinkhole each week
b,) How many times greater is the diameter of sinkhole now compared to the previous week?


Please explain your anwser ( i  didn't understand the part about EACH WEEK)
Thanks in advance!

Answers

we know that
[the length of a circumference is]=2*pi*r
r=[length of a circumference]/(2*pi)

Part a)
a.) Estimate the diameter of the sinkhole each week

Let
first week----------> previous week
second week-----> actual week (now)

for the first week
length=75.35 m
r=75.35/(2*pi)---------> r1=12 m
Diameter=2*r---------> D1=2*12---------> D1=24 m

for the second week
length=150.42 m
r=150.42/(2*pi)---------> r2=23.95 m
Diameter=2*r---------> D2=2*23.95---------> D2=47.90 m

Part b)
b,) How many times greater is the diameter of sinkhole now compared to the previous week?
[diameter of sinkhole now compared to the previous week]=D2/D1
= 47.9/23.95----------> 2

the answer Part b)
the diameter of sinkhole now compared to the previous week is 2 times greater

Final answer:

Using the circumference formula, the estimated diameters of the sinkhole are approximately 24 meters for the first week and 48 meters for the second week. The diameter in the second week is 2 times greater than in the first week.

Explanation:

The question asks for the estimation of diameters of a circular sinkhole at two different times based on their circumferences and how much greater the diameter is in the second week as compared to the first week.

To estimate the diameter of the sinkhole, we use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter. We rearrange the formula to solve for the diameter, giving us d = C/π. Using π ≈ 3.14, we calculate the diameter for each week. In the first week, the diameter is approximately 75.35 meters/3.14 = 24 meters, and in the second week, it's approximately 150.42 meters/3.14 = 48 meters.

To find how many times greater the second diameter is compared to the first, we divide the second diameter by the first diameter: 48 meters/24 meters = 2. This means the diameter of the sinkhole in the second week is 2 times greater than the first week.

Zachary is solving the following equation

3/4(x - 8)= 12

Which is the best first step to begin to simplify the equation?
A.Multiply both sides of the equation by 3/4
B.Divide both sides of the equation by 4/3
C.Distribute 3/4 over (x - 8)
D.Distribute 4/3 over (x - 8)

Answers

The answer is C.

The first step in a math problem with distribution involved is to take care of the parentheses (PEMDAS). This means you have to distribute 3/4 to the (x - 8).

I hope this helped!

Answer:

C. Distribute 3/4 over (x - 8)

Step-by-step explanation:

There are multiple ways to begin solving this problem.

If we want to cancel the 3/4 without using the distributive property, we would divide both sides by 3/4.  Dividing by 4/3 will not cancel it.

When dividing by fractions, we multiply by the reciprocal; this would be multiplying both sides by 4/3.  Multiplying by 3/4 will not cancel it.

Using the distributive property, we multiply (x-8) by the number in front of parentheses, 3/4.  We cannot distribute 4/3, since it is not part of the equation.

please help i will mark brailiest

Answers

the answer is 57 because 8^1 is 8

Answer:

its 49

Step-by-step explanation:

The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?

Answers

the complete question in the attached figure

we have that
m∠1=58°
m∠7=?
 we know that
m∠1+m∠3=180°------------> supplementary angles
and 
m∠3=m∠7--------------------> corresponding angles
then
m∠3=180°-m∠1-----------> m∠3=180°-58°=122°

m∠7=m∠3=122°

the answer is m∠7=122°


The measure of angle 7 for the given set of parallel lines with given measure of angle 1 as 58 degrees is equal to 122°.

Here line m is parallel to line n and 'q' is the transversal.

In general, when two parallel lines are cut by a transversal, any pair of corresponding exterior angles are congruent.

Angles 1 and 5 are corresponding pair of exterior angles, which are always congruent.

So, the measure of angle 5 is the same as the measure of angle 1, which is 58°.

And measure of angle 5 and angle 7 are linear pair .

This implies,

Measure of ( angle 5  + angle 7 ) = 180°

⇒Measure of angle 7 = 180° - 58°

⇒Measure of angle 7 = 122°

Therefore, the measure of the angle 7 is equal to 122 degrees.

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The above question is incomplete, the complete question is:

The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?

Attached figure.

If the profits in your consulting business increase by 5​% one year and decrease by 3​% the following​ year, your profits are up by ____% over two years. How do I solve this question?

Answers

let the original profits be $x. 5% increase in profits will give us:
105/100×x=$1.05x
3% reduction in new profits ill give us the latest amount to be:
97/100×1.05x
=$1.0185x
comparing our new profits to our original amount of $x we shall have new percentage increase to be:
(1.0185x-x)/x×100
=1.85% 
Thus our final increase  1.85%

Final answer:

To calculate the change in profits over two years with a 5% increase followed by a 3% decrease, the successive percentage change formula was used which resulted in a value 1.85% (approximately).

Explanation:

To solve the question, we need to consider the successive percentage changes in profits over two years. If profits increase by 5% one year and decrease by 3% the following year, we can calculate the overall percentage change using the formula for successive percentage changes.

Let's assume the initial profit is $100. After increasing by 5%, the profit becomes $105. Then, after decreasing by 3%, the profit becomes $105 * (1 - 0.03) = $105 - $3.15 = $101.85. Therefore, over two years, profits are up by 1.85% (approximately).

if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?

Answers

Set up a proportion.
flagpole/shadow = woman/her shadow.

f/s1 = w/s2
f = 42.9
s1 = 253 
w = 6.2 
s2 = ??? = x

42.9/253 = 6.2 / x
42.9 x = 253*6.2
42.9 x = 1568.6
x = 1568.6 / 42.9
x = 36.56 The womans shadow is 36.56 feet long <<<< ===== answer.

5 years = ______ months

Answers

60 months
Hope this helped ;)
5 years would equal 60 months.
You would do 12×5 which would be 60

A recent survey of 2500 seventh graders from across the state shows 2 out of 5 of them do not eat breakfast. How many of the students surveyed do not eat breakfast?

Answers

Out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast, based on the proportion of 2 out of 5.

To find out how many seventh graders surveyed do not eat breakfast, we can use the proportion of students who do not eat breakfast from the survey results.

Given:

- Total number of seventh graders surveyed: 2500

- Proportion of seventh graders who do not eat breakfast: [tex]\( \frac{2}{5} \)[/tex]

To find the number of seventh graders who do not eat breakfast, we multiply the total number of seventh graders surveyed by the proportion who do not eat breakfast:

[tex]\[ \text{Number of students not eating breakfast} = \frac{2}{5} \times 2500 \]\[ \text{Number of students not eating breakfast} = \frac{2 \times 2500}{5} \]\[ \text{Number of students not eating breakfast} = \frac{5000}{5} \]\[ \text{Number of students not eating breakfast} = 1000 \][/tex]

Therefore, out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast.

when 6 less than 3 lots of a number is doubled the result is 18

Answers

this one is a tuff one:((

The unknown number is 5.

Let's represent the unknown number as "x."

The statement "6 less than 3 lots of a number" can be written as 3x - 6.

The next part of the statement is "doubled the result is 18," which translates to 2 * (3x - 6) = 18.

Now, we can solve for "x" using the equation:

2 * (3x - 6) = 18

Expand the expression on the left side:

6x - 12 = 18

Next, isolate "6x" by adding 12 to both sides:

6x = 18 + 12

6x = 30

Now, solve for "x" by dividing both sides by 6:

x = 30 / 6

x = 5

Therefore, the unknown number is 5.

To verify:

"6 less than 3 lots of 5" is (3 * 5) - 6 = 15 - 6 = 9.

"Double the result" of 9 is 2 * 9 = 18, which matches the given result. Hence, the solution is correct.

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Rewrite the following equation in slope-intercept form. 3x − 18y = 20 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:
y = (1/6) x - (10/9)

Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
3x - 18y = 20

To put this in slope-intercept form, we will need to isolate the y as follows:
3x - 18y = 20
18y = 3x - 20
y = (3/18) x - (20/18)
y = (1/6) x - (10/9)
where:
m is the slope = 1/6
c is the y-intercept = -10/9

Hope this helps :)

Y= 0
3x = 20
X = 20/3

X = 0
-18y = 20
Y = 20/-18
Simplified equal
10/-9

PLEASE HELP ME!!! Will mark brainliest


a) A two-digit number is 18 more than that number reversed. What could that number be? List all possibilities.

b) The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number.

c) The sum of the digits of an odd 2-digit number is 17. What is the number?

Answers

C is 89 but I haven’t figured out the rest yet sorry
A. 13 and 31; 35 and 53; 46 and 64; 68 and 86; 79 and 97 
B. 86
C. 89

What is the solution to this equation

Answers

Y=10x+15

X= 0

Y= 15

Hope this help

Answer with explanation:

⇒The given equation of line in two variable is :

   y = 10 x + 15

If we have to find the solution of the equation of a unique line,as on a line there are infinite number of points lying on it.

So, Line, y=10 x + 15, has infinite number of solution.

Substituting different value of , x we will get different value of y,and by Substituting Different values of y, we will get different values of x.

→→If, x=k, then solution set of line, y=10 x + 15 ,will be,

(x,y)=All the points lying on the line, that is of the form,(k, 10 k +15).

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Answers

so 160% by 100/(100-20) = 160% * 100/80
                                          = 160% * 5/4
                                          = 200%



What is the surface area of the figure shown? (Use 3.14 for π.)

A. 178.98 in.2

B. 178.98 in.3

C. 235.5 in.2

D. 235.5 in.3

Answers

The answer is c with a side of bacon hope that helps. :)

The answer is letter c hope this helps

You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?

Answers

your total is 63.6$

hope this helps
I think that answer is $68

A recipe calls for 2 cup so of flour, 1/4 cup sugar, 1/3 cup milk. What Ismaili the total volume of the three ingredients?

Answers

Easiest would be just crosscheck 1 by 1,
like, first check for flour, he has 15 cups, i.e. 15/2.5 = 6 cups can be made.
then come to sugar, sugar per cup (if he wants to make 6 cups of recipe) = 16/6 = 2+2/3 (what he has), but he need 2+3/4; so not available.
So, ans =5

Which shows the decimal 0.14 repeated expressed as a fraction in simplest form?

Answers

14/99 will be your answer
14/99 to check this answer divide 14 by 99 and u will get 0.141414......

I am a number less than 3000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?

Answers

My graphing calculator shows solutions to be
.. 798
.. 1726
.. 2654

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin.
What is the scale factor of the dilation?

A.) 0.25

B.) 0.5

C.) 2

D.) 4

Answers

Hello,

To find the scale factor, we need to determine how the points are changing.

Point A is changing from (5, 3) to (1.25, 0.75). Therefore, we can write the following two equations using K as the scale factor.

5k = 1.25  or 3K = 0.75

Solving either equation will give you a scale factor of 0.25.

Good luck,
MrEQ

Select three equations that have no solution.
A.19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4

B.4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12

C.7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10

D.10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7

E.9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17

F.8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3

Answers

a. false
b. true
c. false
d. b=3
e. b=0
f. false

Answer: A. C. F.

The three equations that have no solutions are A ,C and F

What is Linear Equation in 1 variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

Given data ,

A )

19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4

On Simplifying , we get

8b + 11 = 8b - 11

Hence , the option has no solution

B )

4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12

On Simplifying , we get

11b - 19 = 11b - 19

Adding 19 on both sides , we get

11b = 11b

Divide by 11 on both sides , we get

b = b

Hence , the option has a solution

C )

7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10

On Simplifying , we get

- 7b + 5 = - 7b + 7

Hence , the option has no solution

D )

10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7

On Simplifying , we get

0 + 12 = 4b + 0

4b = 12

Divide by 4 on both sides , we get

b = 3

Hence , the option has a solution

E )

9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17

On Simplifying , we get

0 - 14b = 0

b = 0

Hence , the option has a solution

F )

8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3

On Simplifying , we get

12b - 8 = 12b - 12

Hence , the option has no solution

Therefore , the three equations that have no solutions are A ,C and F

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If a large Rubik's cube has a volume of 1331 cubic inches what is its surface area ?

Answers

This cube would have a surface area of 726 inches squared. To get this you take the cube root of 1331 to get 11. This 11 is a side length so you use it to find the area of a side: 11*11 = 121. Then multiply this 121 by 6 because there are 6 sides to a cube and get 726.

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!
WILL GIVE BRAINLIEST AND 15 POINTS!!!
EXPLAIN HOW YOU GOT EVERYTHING, INCLUDING VALUES FOR A, B, C AND D!!!!!!!!!!!!!!!!!!! PLZZZZZZZZZZZZ

Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

f(x)= x+a
------
b

g(x)=cx−d

Answers

f(x) = x + 1
          ------
            b

g(x) = cx - d


flip values of x and y in each equation, then solve for y:


x = y + a
      -------
         b

y = a - bx


``````````````````````````````````````````````````````````

x = cy - d

y = x + d
      -------
         c

Answer:

[tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]

Step-by-step explanation:

Two functions are inverse where their composition results in a variable only:

[tex]f(g(x))=x[/tex]

So, we have to insert the right numbers in place of letters a, b, c and d, to fulfil this definition. Those value would be: [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]

Replacing these values, we have:

[tex]f(x)=x+2[/tex]

[tex]g(x)=1x-2=x-2[/tex]

Applying the composition [tex]f(g(x))[/tex]:

[tex]f(g(x))=\frac{cx-d+a}{b}[/tex]

We observe that with this values, these functions are inverse, because it composition results x.

[tex]f(g(x))=\frac{1x-2+2}{1}=x[/tex]

Therefore, the values are [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]

Which expression represents the calculation “subtract 30 from 40, then multiply by 4"? A) (30 − 40) × 4 B) 40 − (30 × 4) C) 4 − (40 × 30) D) 4 x (40 − 30)

Answers

The answer is D) 4 x (40-30)
The correct answer is D

Use ratio box to solve problem

Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 5 to 6, how many girls attended the assembly

Answers

There are 300 girls

Explaination:
The ratio is 5 boys to 6 girls, and a total of 550 students attending. To find the answer you have to multiply both ratio numbers by the same amount to get a correct answer. (See equation below)
[tex](5 \times 50) + (6 \times 50) = 550[/tex]
And to find how many girls and boys simply solve each one (5×50=250 boys) and (6×50=300 girls)

Final answer:

To find the number of girls attending an assembly given a boys-to-girls ratio, divide the total students by the total parts of the ratio and then multiply by the girls' part of the ratio. 300 girls attended the assembly.

Explanation:

Ratios provide us with comparative information. In this case, the ratio of boys to girls is 5 to 6. To find the number of girls, we need to divide the total students by the total parts of the ratio (5 + 6) and then multiply by the girls' part of the ratio:

Calculate total parts of the ratio: 5 (boys) + 6 (girls) = 11.

Divide total students by total parts of the ratio: 550 / 11 = 50.

Multiply by the girls' part of the ratio: 50 (students per part) * 6 (girls) = 300 girls attended the assembly.

Josh book has 64 pages. Josh read 27 pages in the morning He reads 18 more pages that night How many pages does josh need to read to finish the book

Answers

Final answer:

Josh has read a total of 45 pages after reading 27 pages in the morning and 18 at night. With 64 pages in the book, he needs to read 19 more pages to finish it.

Explanation:

Josh's book has 64 pages in total. He read 27 pages in the morning and 18 more pages at night. To calculate the number of pages Josh still needs to read to finish the book, we do some quick math:

Add the number of pages read in the morning to the number read at night: 27 pages + 18 pages = 45 pages.Subtract the total number of pages read from the total number of pages in the book: 64 pages - 45 pages = 19 pages.

Therefore, Josh needs to read 19 more pages to finish his book.

anyone can help make sure my answers is right. Thanks

Answers

The green peppers do for the first one because that fraction is larger. The second one is the green paint jar because it is only half while the other is more than half. She uses more flour because it is the larger fraction. And the last one you should explain.
2. The answer is green peppers, because 5/8 is greater than 2/8.

3. The answer is the green paint jar, because 4/8 is less than 4/6.

4. The answer is flour, because 2/3 is greater than 1/3.

5. You need to give an explanation for how you compare the fractions. Here, you make both denominators (bottom numbers) the least common denominator by multiplying the first fraction by 4/4 and the second by 3/3, which gives you 20/24 and 15/24. Now that they are the same, you can ignore the denominators. 20 is clearly greater than 15.

Help me asap please!!

Answers

a. 2,093.33 [tex] in^{3} [/tex]
b. 20 cups
c. 27 cups 

To find the volume of a hemisphere, we must use the formula: 2/3[tex] \pi [/tex][tex] r^{3} [/tex] . Then, to determine how many cups he needs to scoop the water out, we have to find the volume of water that each cup can hold, and divide by the total volume the sink can hold. These processes are shown in the attached image.

Categorize these samples as representative or not representative of the given populations.

Answers

Representatives: This means that a certain amount of people would constitute what the majority would think too.

1) Tina interviews the school's soccer team about the exercise habits of  the students at her school. (implying all the students). This means that Tina only goes to the soccer team instead of the whole school to find out the whole school's exercise habit.
2) Alana also counts as representatives, because she did not interview ALL of the teachers, rather just a selected majority (in this case)
5) For Jeremy, he only interviews 5 students from each class rather than all students
Not Representatives: Each person is given a choice of opinion and does not affect other people.
3) Joe talks to fathers of high school students, which could be larger than just 'representatives', and implies a larger group of people, and is not as selective as having representatives
4) Social Media constitutes of a large group of people, generally larger than a school, and if people take time to take the survey, it will generate a larger test-group. Also, everybody answering the survey would take time to think about themselves, and only represent themselves, and not others.


hope this helps

Answer:

1) Tina interviews the school's soccer team about the exercise habits of  the students at her school. (implying all the students). This means that Tina only goes to the soccer team instead of the whole school to find out the whole school's exercise habit.

2) Alana also counts as representatives, because she did not interview ALL of the teachers, rather just a selected majority (in this case)

5) For Jeremy, he only interviews 5 students from each class rather than all students

Not Representatives: Each person is given a choice of opinion and does not affect other people.

3) Joe talks to fathers of high school students, which could be larger than just 'representatives', and implies a larger group of people, and is not as selective as having representatives

4) Social Media constitutes of a large group of people, generally larger than a school, and if people take time to take the survey, it will generate a larger test-group. Also, everybody answering the survey would take time to think about themselves, and only represent themselves, and not others.

Step-by-step explanation:

hope dis help no cap facts gang gang

Other Questions
Read the excerpt below from A Room of Ones Own by Virginia Woolf and answer the question that follows. For my belief is that if we live another century or soI am talking of the common life which is the real life and not of the little separate lives which we live as individualsand have five hundred a year each of us and rooms of our own; if we have the habit of freedom and the courage to write exactly what we think; if we escape a little from the common sitting-room and see human beings not always in their relation to each other but in relation to reality; and the sky, too, and the trees or whatever it may be in themselves; if we look past Miltons bogey, for no human being should shut out the view; if we face the fact, for it is a fact, that there is no arm to cling to, but that we go alone and that our relation is to the world of reality and not only to the world of men and women, then the opportunity will come and the dead poet who was Shakespeares sister will put on the body which she has so often laid down. Drawing her life from the lives of the unknown who were her forerunners, as her brother did before her, she will be born. As for her coming without that preparation, without that effort on our part, without that determination that when she is born again she shall find it possible to live and write her poetry, that we cannot expect, for that would be impossible. But I maintain that she would come if we worked for her, and that so to work, even in poverty and obscurity, is worth while. What aspect of the Modern Era does the passage reflect? conformity, decorum, and etiquette social inequality and change the rejection of traditional values the damage of World War I Help please!!! thanks Using the example of a cell in a sugar solution, explain what is meant by an isotonic solution. Little Joey jumps into a pool on a cool fall morning. How can we describe the direction of energy transfer and temperature change between Joey and the water?A)Energy is transferred from Joey to the water. The temperature of the water increases.B)Energy is transferred from the water to Joey. The temperature of the water increases.C)Energy is transferred from the water to Joey. The temperature of the water decreases.D)Energy is transferred from the Joey to the water. The temperature of the water decreases. 99 POINTS PLEASE HELP ME WITH THESE 5What is the purpose of Articles XII-XIV of the Louisiana Constitution?to declare the rights of citizensto structure the state governmentto explain the functions of governmentto provide general provisions and amendmentsWhat keeps one branch of the federal government from becoming too powerful?the system of checks and balancesthe Bill of Rights in the Constitutionthe system of due process of lawthe preamble of the ConstitutionWhat is one example of balancing the branches of government?The legislative branch can impeach executive officials.The executive branch is headed by a governor on the state level.The executive branch is headed by the president on the national level.The judicial branch includes judges who are either elected or appointed.What is the main function of the legislative branch of state and federal government?to create new lawsto interpret the lawsto enforce the lawsto obey all of the lawsWhat is the purpose of Article VI of the Louisiana constitution?to declare the rights of citizensto structure the state governmentto structure the local governmentto provide general provisions and amendments A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+18.950.40M , where M is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+5.700.25M . Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M . Simplify your answer as much as possible. Find the measure of the angle of elevation of the sun when a pole 25 feet tall casts a shadow 42 feet long. What is the length of AA' ? The length of the base of an isosceles triangle is one forth the length of one of its legs. If the perimeter of the triangle is 25 inches, what is the length of the base?a) 5 11/16 inb) 2 7/9 inc) 4 1/6 ind) 11 1/9 in Beau made a new hamster house for dr cheeks out of 125.5 craft sticks.each stick weighs 0.5 ounce how much does the hamster house weigh find the value of N, P and M What is the measure of JGK shown in the diagram below PLEASE someone help me on this Except on rare occasions, boundaries for congressional and state legislative districts in the united states are redrawn by the states every james bought 200ft thread , he used 4/5 of the thread. how many feet of thread did he use? Which statement about prefixes is not true?A) A prefix can change the meaning of the word.B) You can predict the meaning of a word if you know the meaning of the prefix.C) Some prefixes are added to the end of a root word.D) A prefix is one or more syllables added to the beginning of a root word. identify the image of xyz for a composition of a 90 degree rotation and a 180 degree rotation, both about point x. In the figure below, a cone is cut by a plane that passes through its vertex and is perpendicular to its base.The height of the cone is 10 inches, and its diameter is 6 inches.What is the area of the cross section formed by the intersection? What is the length of a leg of the pre-image, triangle RST? 4 units 8 units 16 units 20 units the continental system attmpted to stop conquered nations from trading with britain this napolean believed would ruin the finances of the island nation which depended on buying and selling with its neighbors the system did not work however and was unpopular with the europeans portugal spain and russia continued to trade with britian