Explain what is wrong with each of the following statements.

a. Seen in a tourist guide: “This state has the largest area of shoreline of any state in the region

b. Seen in a house description: “This house has over 3,200 feet.”

c. Seen in an advertisement: “Spring special: Mulch is only $39/yard.”

Answer:

[tex]\angle\,JLF = 114^o[/tex]  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from [tex]180^o[/tex], since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as [tex]90^o[/tex] and [tex]138^o[/tex]. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : [tex]360^o-90^o-138^o=132^o[/tex]

Therefore, the two equal acute angles in the triangle JOH should add to:

[tex]180^o-132^o=48^o[/tex] resulting then in each small acute angle of measure [tex]24^o[/tex].

Now referring to the green sided right angle triangle we can find find angle JLG, using: [tex]180^o-24^o-90^o=66^o[/tex]

Finally, the requested measure of angle JLF is obtained via: [tex]180^o-66^o=114^o[/tex]

Answer:

x =3.9

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2

x^2 + (5x)^2 = 20 ^2

x^2 + 25x^2 = 400

Combine like terms

26 x^2 = 400

Divide each side by 26

x^2 = 400/26

Take the square root of each side

sqrt(x^2) = sqrt(400/26)

x = sqrt(400/26)

x =3.922322703

Rounding to the nearest tenth

x =3.9

Answer:

3.9

Step-by-step explanation:

:)

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

Answer:

Point D

Step-by-step explanation:

Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.

Answer:

30 m

Step-by-step explanation:

We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two

Answer:

(3.) x = 45

Step-by-step explanation:

Because the lines are parallel and cut by the same line, the angles within are equal as well.

Which means that...

Angle GE = Angle EFD

Therefore (2x-30) = (x + 15)

2x - 30 = x + 15

    +30       +30    (add 30 to both sides to get rid of the -30)

2x = x + 45

-x    -x                   (subtract x from both sides to get rid of the single positive x)

x = 45

Answer:

1.32

Step-by-step explanation:

3 gallon = 1

12 quarts = 4

12 quarts =1

$15.84=  1.32

Answer:

$1.32 per quart

Step-by-step explanation:

To find the price per quart, we must divide the price by the number of quarts.

price / quarts

We are told that a 3 gallon container costs $15.84. First, we must find out how many quarts are in 3 gallons.

We know that 1 gallon is equal to 4 quarts.

Let’s set up a proportion.

quarts/ gallons = quarts/ gallons

4 quarts /1 gallon = x quarts/ 3 gallons

4/1= x/3

Multiply both sides by 3

3*4/1= x/3*3

3*4/1=x

3*4=x

12=x

There are 12 quarts in 3 gallons.

Now we know how many quarts are in 3 gallons. We can find the price per quart.

price / quarts

It costs $15.84 for 12 quarts.

$15.84/12 quarts

Divide 15.84 by 12

$1.32 / quart

It costs $1.32 per quart of window cleaner.

Answer:

689 ft

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

h=V

πr2=441

π·72≈2.86479

Answer:

The area is 78.54 square meters

Step-by-step explanation:

The area = pi*r² r=5

A=pi*25

A≈78.54 square meters

Answer:

7

Step-by-step explanation:

The nth term is supposed to help us find the value of any number in the sequence. All we have to do is substitute n for 7, in this case

So, this is the general term.

= 28 - 3n

Now, to find the 7th term, we simply replace "n" with "7"

= 28 - 3(7)

Since "n" was being multiplied with 3, 7 is also going to be multiplied with 3.

= 23 - 21

= 2

Answer:

E

Step-by-step explanation:

1/2% is .5% = .5/100 = .005

The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
=  0.5/100 = 0.005

Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Given that,

Total number of hatched chicks = 175
At least 80 are female,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in the question
total chicks(total sample) = 175
probability for at least 80 chicks will be female.
Probability  = number of female chicks / total number of chiks
                 = 80 /175
                 =  0.45 or 45%

Thus, The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

thats not even an answer

Answer:

1

Step-by-step explanation:

-3a+4 =7

-4. _4

-3a=3

divide by -3 on both sides

a=-1

3+4=7

Answer:

a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66

Step-by-step explanation:

-(3a+4)=7

-3a-4=7

Add 4 to both sides

-3a=11

Multiply both sides by -1

3a= -11

Divide both sides by 3

a= [tex]-3\frac{2}{3}[/tex]

Answer:

x=root 70

Step-by-step explanation:

We have three triangles in this picture. The big triangle and 2 small triangles. They are all similar triangles.

Thus, because they are similar we have (7+3)/x=x/7

That gives us 10/x=x/7.

Cross products gives us x^2=70, so x=root 70

Answer:

528 in²

Step-by-step explanation:

Look at the attached image to help layout all of the dimensions of the pizza box!

Let me know if you have any other questions and please rate my response and consider marking brainliest!!

Answer:

There are straight, zero, right, obtuse,acute, complementary, supplementary, vertical

Step-by-step explanation:

These are a few I know of

Answer: 88 inches

Step-by-step explanation:

So the radius of the tire is computed by dividing it in half. We know that in one round of the wheel, the wheel moves to a distance equal to the circumference of the wheel. So each time the wheel goes around, the bicycle moves about 88 inches 88 i n c h e s forward.

Answer:

The answer would be=

88 Inches!

Step-by-step explanation:

I hope you do well!

Answer:

d

Step-by-step explanation:

a rectangle

The cross-section of the shape will be that of a triangle, hence the correction option is A.

Cross-sections are basically flat shapes that are formed when we slice through a solid shape.

A good idea of a cross-section is when you slice through a piece of potato.

Learn more about cross-sections here:

https://brainly.com/question/21400791

#SPJ2

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

Answer:

7 days

Step-by-step explanation:

Answer:

D, "I will pay $25 for this book."

Step-by-step explanation

Answer:

Volume of Box / volume of tin = number of tins required

Volume of box =50*40*20= 40000 cu.cm

Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm

4000/754= 53 tins (rounded off)

Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.

Answer:

(90,60)

Step-by-step explanation:

if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.

Answer:

Question 3. Option B,

Question 4. Option D,

Question 5. Option B

Step-by-step explanation:

Question 3.

If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;

[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]

As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B

Question 4.

The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;

[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]

Question 5.

If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B

Answer:

Question 3: 6c

Question 4:  4 to 5, 4:5, 4/5

Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.

The question is: How much of the total distance he biked?

[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]

Question 5: 3 oranges and 15 apples

[tex]$\frac{1}{6} $[/tex]  of the fruits are oranges.

It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.

If you take the options, only the first one is correct.

Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

Answer:

[tex]\mathrm{Option \: C.}[/tex]

[tex]x \ne-3, \:4[/tex]

Step-by-step explanation:

[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]

[tex]\left(x+3\right)\left(x-4\right)=0[/tex]

[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]

[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]

Answer:

x-.6=1.5

Step-by-step explanation:

4-1.5=2.5 2.5/.6 is approximately 4

The domain represents interval notation is (–∞, 7) U (7, ∞) which is the correct answer would be an option (A)

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

For all other x-values, the graph appears to be defined. Thus, with the exception of x = 7, all real numbers should fall under the function's domain. This is what that would look like in interval notation:

It is possible to write the interval (–∞, ∞). as the set of all real numbers. Keep in mind that infinity∞ or -∞  is not a real number. Both ends are shown to be excluded from the interval by the rounded brackets.

All real numbers less than but not equal to 7 are contained in the set (-∞,7). (both ends are excluded.) The collection of every real number greater than but not equal to is.

All real numbers less than and higher than are combined to form the set of all real numbers that are not equal to 7. The union operator joins two intervals together.

Hence, the domain represents interval notation is (–∞, 7) U (7, ∞)

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ2