A triangle is shown. One side has a length of 16, another side has a length of 20, and the length of the longest side is unknown.

Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length?
It is exactly correct.
It is under by approximately 0.6 units.
It is over by approximately 0.6 units.
It is over by 13 units.

Answers

Answer 1

Janice estimate is under by approximately 0. 6 units. Option B

How to determine the estimate

The longest part is called the hypotenuse

The formula for finding the hypotenuse, we use the Pythagorean theorem

Hypotenuse = square root of both opposite square and adjacent square

We have that,

Hypotenuse = [tex]\sqrt{16^2 + 20^2}[/tex]

Hypotenuse = [tex]\sqrt{256+ 400}[/tex]

Hypotenuse = [tex]\sqrt{656}[/tex]

Find the square root

Hypotenuse = 25. 6

The length of the longest part = 25. 6

Janice estimated it to be 25

Comparing her estimate with the actual length = Actual length - estimate

⇒ 25. 6 - 25

⇒ 0. 6

Therefore, Janice estimate is under by approximately 0. 6 units. Option B

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Answer 2

Answer: B. It is under by approximately 0.6 units.

Step-by-step explanation: Just did it on edge 2023


Related Questions

i need the answer for this question, look at the image below for help

Answers

Answer:

x axis is -2.

y axis is +1.

(-1, 3)

What is Meant By Graphing Functions?

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

According to the question,

The following graph represents the linear function f(x) = x -2

Take any point on this line, say, (-1, 3).

Let us substitute (-1, 3) = (x, y) (i.e., x = -1 and y = 3) in the function f(x) = -x + 2 (note that it can be written as y = x - 2).

Then

3 = -(-1) + 2

3 = 1 + 2

3 = 3, thus, (-1, 3) satisfies the function.

In the same way, you can try taking different points and checking whether they satisfy the function. Each and every point on the line (in general called "curve") satisfies the function.

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Just solve it for me no need to explain

Answers

Answer: -5/21.

Step-by-step explanation:

[tex]\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .[/tex]

Good luck an' have a nice day!

Answer:

Step-by-step explanation:

express 0.139 in p/q form bar on 39

plss answer it

Answers

The expression of the decimal 0.139 in fraction form of p/q gives; 139/1000

How to convert decimal to fraction?

We are given the decimal 0.139.

Now, when we want to convert to fraction, it means we want the decimal expression to have a numerator and a denominator.

Thus;

0.139 can also be expressed as; 139/1000

Therefore, the expression of the decimal 0.139 in fraction form of p/q gives; 139/1000

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Which solution shown below contains an error?
O 3 4
3x 4
O
x+2 x+2
O 2
x+1
8
x-6
=
=
2
x+2
=
=
3x+4

1
X+1
2x-12
80x+8
(x+1)(x-6) (x+1)(x-6)
+
=
10x-4
(x+1)(x-6)

Answers

ma che è 83384838388393

There are 4 captains of the football team. how many different ways can they line up to receive their championship rings?

Answers

24 different ways can they line up to receive their championship rings.

What is a permutation mean in math?

When the order of the arrangements matters, a mathematical technique called a permutation can be used to calculate the number of alternative arrangements in a collection. Common mathematics problems involve choosing only several items from a group of items in a specified sequence.

What are permutations used for?

When an arrangement requires an order or a sequence, permutations are used. Combinations are employed when determining merely the number of potential groups is required and neither the order nor the sequence of arrangements is necessary.

Given,

            No. of captains of the football team = 4

So,

         4 ways we can line up  their championship rings = (4,4)

                  4 ×3 ×2 ×1  = 24

Therefore, 24 different ways can they line up to receive their championship rings.

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What is the equivalent 6/10 1. 3/5 2. 9/12 3. 20/50 4. 40/50

Answers

Answer:

1.) 3/5

Step-by-step explanation:

When know that 3/5 is equivalent to 6/10 because both the numerator and the denominator are scaled up/down by the same amount. To be precise, we can get the answer of 3/5 by dividing the numerator and denominator by 2.

6 / 2 = 3

10 / 2 = 5

A bucket of chicken had 12 pieces and cost $9.48. After 3pm it was on sale for $0.10 off per piece. What was the sale price per piece of chicken?

Answers

Answer:

The sale price per piece of chicken was $0.69

Step-by-step explanation:

We have to first calculate the price of 1 piece of chicken when 12 pieces cost $9.48.

Original price per piece = $9.48 ÷ 12

                                        = $0.79

• According to the question the price per piece decreased by $0.10 during the sale.

∴ Sale price per piece = $0.79 - $0.10

                                     = $0.69

In a Fischer projection with only one horizontal line crossing through the vertical line, the point at which the two lines cross represents ______________.

Answers

The Central Carbon

What is Fischer's projection?

It is a method that represents the three-dimensional structures of molecules on a single page. These are a convenient way to represent the molecules and distribute them between the pairs of enantiomers. These are very often used to represent isomers of sugars.

The Fischer Projection consists of horizontal and vertical lines, the horizontal lines represent atoms that are pointed out of the plane and the vertical line represents atoms that are pointed away from the plane. The intersection point of the horizontal line and the vertical line represents the central carbon.

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Container measures 24ft by 8ft by 10ft, if 1 bushel is approximately 2220 cubic inches, approximately how many bushels of grain can the container hold ( 1ft=12in) Show Your work

Answers

Answer:

see below

Step-by-step explanation:

24 ft * 12 in/ft     *   8ft * 12 in/ft   *  10 ft * 12 in/ft = 3317760  in^3

3 317 760 in^3  / 2220 in^3/bushel = 1494.49 bushels

can someone help me please

Answers

answer:

oops, I accidentally messed this one up, so sorry

Answer:

"We can't use any of the patterns"

Step-by-step explanation:

You can't use [tex](U+V)^2[/tex] because that would result in some stuff in the middle. In general if you have something like that it would expand to [tex]U^2+2UV + V^2[/tex]. and same thing for the (U-V)^2 except the middle would be a negative number. You also can't use [tex](U+V)(U-V)[/tex] because it specifies "constant integers" and the "integer" part is what's really important, because you can technically rewrite the sum of squares as (U + V)(U - V) but you would need to use imaginary numbers. Because the difference of squares is defined as [tex]a^2-b^2 = (a-b)(a+b)[/tex]. But you can also think of it like this [tex]a-b = (\sqrt{a} - \sqrt{b})(\sqrt{a}+\sqrt{b})[/tex] because that's essentially what the original identity is saying. Using this definition you can write the sum of squares as [tex]a+b = a - (-b) = (\sqrt{a} + \sqrt{-b})(\sqrt{a} - \sqrt{-b}) = (\sqrt{a} + i\sqrt{b})(\sqrt{a} - i\sqrt{b})[/tex]. So with the restriction of constant integers "We can't use any of the patterns" is the correct answer

Which number line represents the solution for the
inequality |2x - 5] ≥ 3?

Answers

The attached graph represents the number line of the inequality |2x - 5] ≥ 3

How to determine the number line?

The inequality is given as:

|2x - 5] ≥ 3

Remove the absolute value sign

2x - 5 ≥ 3 or 2x - 5 ≥ -3

Add 5 to both sides

2x ≥ 5 + 3 or 2x ≥ 5-3

Evaluate

2x ≥ 8 or 2x ≥ 2

Divide through by 2

x ≥ 4 or x ≥ 1

Combine both inequalities

x ≤ 1 and x ≥ 4

See attachment for the number line

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Find the volume in cm^3 of a right circular cylinder with a radius of 10 cm and height of 14 cm

Answers

4398.22 cm³ the volume of cylinder.

What is volume of cylinder?

'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc.

Given,

          Height of cylinder = 14 cm

         radius of cylinder = 10 cm

Now using formula volume of the cylinder = π r² h

          put value in formula,

                                               3.14 × 10× 10 × 14 = 4398.22 cm³

Therefore, 4398.22 cm³ the volume of cylinder.

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Englewood high school is planning a field trip to everglades national park. on the trip, there must be a minimum of one adult for every 8 students. the buses can carry a maximum of 480 people. define variables and write a system of inequalities to represent this situation.

Answers

The system of linear inequalities to represent this situation. is given as-

9p <= 480

a >= 8s

p = a + s

What is linear inequalities?

Expressions with linear inequalities compare any two values using inequality symbols like "<," ">," "<=," or ">=." These values could be either numerical, algebraic, or both.

If the linear inequality is larger than or less than but not equal to, a dashed line appears on the graph. On the other hand, a solid line always appears in linear equations. Linear equations lack shaded sections, whereas linear inequalities do.

According to the question,

The buses can carry a maximum of 480 people.

These people include adults as well as students.

Let 'p' represents the total number of people in the bus.

Let 'a' represents the number of adults in the bus.

Let 's' represents the number of students in the bus.

Thus,

p = a + s.

As, there must be a minimum of one adult for every 8 students.

a >= 8s

and,

9p <= 480

Therefore, the system of linear inequalities are found.

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What is the recursive formula for this geometric sequence? -3. -21, -147, -1029, …

Answers

Answer:

[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]

Step-by-step explanation:

A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r

For this sequence

r =  [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{-3}[/tex] = 7 , then recursive formula is

[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]

what is the length of the diagonal of the square shown below​

Answers

Answer:

7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

the diagonal d divides the square into 2 right angles.

using Pythagoras' identity in one of the right triangles , then

d² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

d = [tex]\sqrt{98}[/tex] = [tex]\sqrt{49(2)}[/tex] = [tex]\sqrt{49}[/tex] × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex]

Answer:

c =7√2

Step-by-step explanation:

using the Pythagorean theorem we solve the diagonal ,where the two sides are given to find the hypotenuse.

c² =a² + b²

where c is the diagonal (hypotenuse fot thr triangle)

a and b are the legs (sides)

c² =7²+7²

c²= 98

c= √98

c=√49.√2

c=7√2

A car salesman earn. 2% commission on all of his sales if he needs to make 3,000 a month for his living expenses what total dollar amount must he sell to make his commission each month

Answers

The total dollar amount of sales is $150,000

What is the sales amount achieved by the salesman to earn a commission of $3,000?

To compute the portion of total sales earned as commission, we simply  multiply the sales amount recorded  by the percentage of commission which is 2%

sales commission=sales amount*commission rate

sales commission=$3,000

sales amount=unknown(assume it is X)

commission rate=2%

$3,000=X*2%

X=$3000/2%

X=$150,000

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PLEASE HURRY!!!!!!!!!!!!!!!!!

Answers

Answer:
6759
Step-by-step explanation:

y eso es


PLEASE HELP!

The measure of angle B = 27 degrees, measure of angle C
= 82 degrees, and b = 12. Then a =
nearest tenth.
to the

Answers

Answer: 25,0.

Step-by-step explanation:

∡B=27°     ∡C=82°      b=12      a=?

∡A=180°-(27°+82°)=180°-109^°=71°.

[tex]\frac{a}{sinA} =\frac{b}{sinB} \\a=\frac{b*sinA}{sinB}=\frac{12*sin71^0}{sin27^0}=\frac{12*0,9455}{0,454} \approx25,0[/tex]

A 19 ft. ladder is leaning against a building that it is 13 ft. away from. Using the drawing below (not drawn to scale), find θ between the top of the ladder and the building. Round your answer to the nearest degree.

Answers

Answer:

43 °

Step-by-step explanation:

The ladder is the hypotenuse   13 feet is one leg of a a right triangle

   sin = opposite leg / hypotenuse

    sin (theta ) = 13 / 19

      theta = arcsin (13/19) = 43°

Can someone help me out on this geometry postulate questions? It’s urgent

Answers

20) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so SSS

21) [tex]\overline{CD} \cong \overline{CD}[/tex] by the reflexive property, so ASA

22) [tex]\overline{CE} \cong \overline{CB}, \overline{AC} \cong \overline{CD}[/tex] by the definition of a midpoint and [tex]\angle 1 \cong \angle 2[/tex], so SAS

23) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so ASA

What is the inverse of the following statement? If m is the midpoint of PQ, then PM is congruent to QM

Answers

The inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

What do you mean by inverse?

Inverse of the statement means that explain the condition in reverse way or vice versa.

Since, M is the midpoint of PQ, then PM is congruent to QM.
Proving in reverse way, let m be the point between P and Q the distance M from P is equal to the distance from M to Q. Which implies that M lies as the mid of the P and Q.

Thus, the inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

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Which expression is equivalent to this polynomial? 9x² +4 OA. (3x+21)(3x-21) OB. (3x+2)(3x - 2) OC. (3x+21)² OD. (3x + 2)²​

Answers

Answer:

None of these

Step-by-step explanation:

None of this expressions are equivalent. But if the original polynomial is 9x^2-4, then answer would be (3x+2)(3x-2).

Using formula (a+b)(a-b)=a^2-b^2 , it follows:

(3x+2)(3x-2)=(3x)^2-2^2=9x^2-4

question is below please it was very hard

Answers

Based on the polynomial function given, the lower bound can be found to be -14.

What is the polynomial function's lower bound?

With f(x) being:
= x⁴ - 4x³ + 9x² - x - 14

Then f'(x) will be:
= 4x³ - 12x² + 18x - 1

If f'(x) is 0:

0 = 4x³ - 12x² + 18x - 1

x = 0.0578

So:
f(0.05) = -14.028

The lower bound is therefore -14.

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What is the point-slope form of a line with slope that contains the point
(-3, 6)?
OA.y-3=2(x+3)
OB. y+6=2(x+3)
OC. y-6=-2(x+3)
D. y-6=2(x+3)

Answers

answer oc follows the point slope pattern

The point-slope form of a line with slope that contains the point

(-3, 6) is y-6=2(x+3)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The point-slope form of a line is given by y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁, y₁) is a point on the line.

We are given that the line has a slope, but we are not given what the slope is.

The given point is (-3, 6)

y - 6 = m(x - (-3))

y - 6 = m(x+3)

As per the given options which matches the point slope form is y-6=-2(x+3)

Hence, the point-slope form of a line with slope that contains the point

(-3, 6) is y-6=2(x+3)

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A dolphin swims 665,280 feet in 3 hours find the dolphin's rate in feet per hour.

Answers

Using the Speed-Distance-Time relation, the Dolphin's rate in Feet per hour is 221,760 ft/hr.

What is Speed-Distance-Time relation?Speed indicates how quickly something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units in this example will be meters per second because the distance is measured in meters and the time is measured in seconds. Similar to an equation, the formula can be changed. We require the other two in order to calculate one of the variables. For instance, we need to know the length of the journey and the pace of movement in order to calculate the travel time.

Given, we have the distance travelled by dolphin is 665,280 feet and time is 3 hours.

s = d/t = 665.280/3 = 221,760 feet per hour

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HELP!!!!!!!!
Find the direction of vector shown above. A. -68.2 N of E B. -21.8 N of E C. 21.8 N of W D. 68.2 N of W

Answers

The direction of the vector is - 21.8 N of E , Option B is the answer.

What is a Vector ?

A vector is an object with both magnitude and direction.

A vector is shown in the graph.

To determine the direction , The angle needs to be determined

The slope of the vector will give the direction of the vector

The vector starts from the point (1 , 1)

Another point on the vector (-4 , 3)

slope = -2 /5

It is making angle x with the line y = 1

tan x = -2 /5

x = - 21.8 N of E.

Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.

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Which is equivalent to start root 10 EndRoot Superscript three-fourths x ?

Answers

Answer:

d&#&#;#;'xn x;e;÷hr&÷h÷ebb ehehhbbsssshhheu73334914218899110

Identify the expression that is equivalent to 6(x2 + y + 2)
6x2 + y + 12
6x2 + 6y + 12
6x2 + 6y + 1
x2 + 6y + 12

Answers

Answer 6x2 + 6y + 12 or 12x+6y + 12
Distribute property
Distribute six into the parentheses
(6 times 2X)+ (6x Y) + (6x2 ) =
6x2 + 6y + 12 or 12x+6y + 12

John bought a computer scanner and supplies for $215.70, which will
allow him to scan images for $0.34 each. A computer center charges
$0.59 to scan each image. How many images must John scan before
his total cost is less than getting scanned images at the computer
center?

Answers

John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.

To determine how many images John must scan before his total cost is less than getting scanned images at the computer center, we can set up an equation.

Let's denote the number of images John needs to scan as "x."

The total cost for John to scan x images is given by:

John's total cost = cost of scanner + cost of supplies + cost per image scanned

John's total cost = $215.70 + ($0.34 * x)

The total cost for scanning x images at the computer center is given by:

Computer center's cost = cost per image scanned * x

Computer center's cost = $0.59 * x

We want to find the point at which John's total cost is less than the computer center's cost. In other words, we want to find the value of x for which John's total cost is less than the computer center's cost:

John's total cost < Computer center's cost

$215.70 + ($0.34 * x) < $0.59 * x

Now, we can solve for x:

$215.70 + ($0.34 * x) < $0.59 * x

$215.70 < $0.59 * x - $0.34 * x

$215.70 < $0.25 * x

Divide both sides of the inequality by $0.25:

$\frac{215.70}{0.25} < \frac{0.25 * x}{0.25}$

862.80 < x

Therefore, John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.

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Solve each problem and check your answer using estimates. a. $18.79 + $2.11 + ‐$1.92 + $17.28 b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52 c. $98.45 − $10.63 + $2.82 − $20.26

Answers

The solution to the linear expressions are:

a. $36.26b. -$19.35c. $70.38

Solving linear expressions:

The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.

From the information given:

a. $18.79 + $2.11 + ‐$1.92 + $17.28

By rearrangement:

= $18.79 + $2.11 + $17.28 ‐$1.92

= $36.26

b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52

By rearrangement:

= $7.45  + $74.17 ‐ $24.45 ‐ $76.52

= -$19.35

c.  $98.45 − $10.63 + $2.82 − $20.26

By rearrangement:

= $98.45 + $2.82 − $10.63 − $20.26

= $70.38

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