The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.

Answers

Answer 1

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square = s²

s = side length of the square

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

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Related Questions

help please will give brainliest !!!!

Answers

Answer:

a) alternate interior angles

b) vertical angles

c) corresponding angles

d) linear pair

Step-by-step explanation:

Alternate interior angles:

formed when a transversal intersects two lines on the same plane located on the inside/interior side of the parallel lines, but they're on the opposite sides these angles are congruent Example: angles D and E

Vertical angles:

pair of opposite angles formed by lines that intersect these angles are congruentExample: angles E and H

Corresponding angles:

angles that have the same relative position, formed by a transversal intersecting two parallel lines these angles are congruent Example: angles A and E

Linear pair:

pair of adjacent angles formed by two intersecting linesangles have measures that add up to 180 degreesExample: angles C and D

Find the product. Simplify your answer.
(4c+3)(3c–3)

Answers

Hello!!

(4c+3)(3c−3)

=(4c+3)(3c+−3)

=(4c)(3c)+(4c)(−3)+(3)(3c)+(3)(−3)

=12c2−12c+9c−9

=12c2−3c−9

Answer^

Hope this helps ((brainliest!!!))

What is mZ2 + m 3? А 1 2 3 4 D m22 + m 23 =

Answers

Answer:

link

Step-by-step explanation:

The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Answers

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244 ---------------(I)

a = 244 - c ----------(II)

Cost for 244 people = $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

-2c = 1078 - 1464

-2c = -386

c = -386/-2

c = 193

a = 244 - 193

a = 51

Audrey made 3 water balloons for every 6 guests at the party. How many water
balloons will she need if there are 8 guests?

Answers

Answer:

4 balloons

Step-by-step explanation:

3:6= 1:2

2*3= no. of guest, 1*3= no. of balloons

2*4 (8)= number so guests, and 1*4 (4)= number of balloons

Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =

Answers

Answer:

f(-2) = 2

f(0) = 4

f(4) = -1

Step-by-step explanation:

Given the graph of a piecewise function:

[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]

Side note:

I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.

Explanation:

There are two methods for determining the range values of the given domain values.

Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.

Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values. This post will use the second method (using the piecewise function) to evaluate the input values.

Regardless of the method used, the results will remain the same.

f(-2)

Since the input value is x = -2, then we must use the function, f(x) = x + 4:

f(x) = x + 4

f(-2) = -2 + 4

f(-2) = 2

Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.

f(0)

Given the input value is x = 0, then we must also use the function, f(x) = x + 4:

f(x) = x + 4

f(0) = 0 + 4

f(0) = 4

Therefore, the range value given the domain, x = 0 is 4, or f(0) = 4.

f(4)

Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:

f(x) = -½x + 1

f(4) = -½(4) + 1

f(4) = -2 + 1

f(4) = -1

Therefore, the range value given the domain, x = 4 is -1, or f(4) = -1.

plss help me with this:((((

Answers

Step-by-step explanation:

what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.

for the first problem a is already the right answer.

14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).

1 is actually a square (= 1×1).

b² and y⁴ are squares (b×b and y²×y²).

16b² and 49 are squares (4b×4b and 7×7).

(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).

factors of x² + 5x - 6

you know how generic factor multiplication works ?

(x + a)(x + b) = x² + ax + bx + ab

so by comparing, we see that

ax + bx is 5x

therefore

a + b = 5

and

ab = -6

now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.

and the right answer is c :

-1 + 6 = 5 (that fits)

-1×6 = -6 (that fits too, so this answer is correct).

Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?

Answers

Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

(5.4*10^2)-(1.3*10^4)
answer in a*b form

Answers

Answer:

-1.24*10^4

Step-by-step explanation:

Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2

and thus we have −12460 = -1.24*10^4

Pre-Algebra simple question

Answers

Step-by-step explanation:

multiplication

yep that is the answer

Answer:

multiplication should be used

Assessment started: undefined.
Item 1
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.

(−1, −6)

(−3, 3)

(11, 3)

(7, 0)

Answers

(7,0)……………………………..!!!!!

( 1 - 7n) times 5

What are the steps to solving it?

Answers

Answer:

5 - 35n.

Step-by-step explanation:

5(1 - 7n)

Using the Distributive Law:

= 5*1 + 5 *-7n

= 5 - 35n.

help me please thanks

Answers

Answer:

h(t) = -3 + 1.5t

Step-by-step explanation:

Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.

h(t) = -3 + 1.5t

What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

Answers

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.

Help HELP HELP HELP URGENT

Answers

Answer:

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10

Answers

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

-12, -8, 2, 5, 10

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?

Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.

So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)

chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men

Answers

Answer:

46875

Step-by-step explanation:

Men :Women = 5 : 8

Total parts = 5+8 = 13

Total number be x

[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]

Number of men = 121875 - 75000 = 46875

given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?

Answers

Answer:

-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6

All the numbers

Step-by-step explanation:

A rational number is a number that can be expressed as in a fraction or decimal (m/n form)

All numbers above can be defined.

A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6

-100 = -100/1

It is in the form of p/q.