Two points are 10 units apart on the coordinate plane. If
an ant were to walk between the 2 points moving only
vertically and horizontally, it would have to walk 6 horizontal
units. How many vertical units would the ant have to walk?

Answers

Answer 1

Answer:

The vertical distance the ant have to walk is 8 units

Step-by-step explanation:

∵ The ant must be walk vertically and horizontally

∴ The distance from start point to end point will be as

   a hypotenuse of a right angle triangle

∵ The ant would have to walk 6 units horizontally that

   means one side of the right angle is 6 units

∵ The two points are apart by 10 units that means

   the length of the hypotenuse is 10 units

∴ The vertical distance the ant would have to walk is

   the length of the second side of the right angle

* By using Pythagoras Theorem:

∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²

∴ 10² = 6² + (vertical leg)²

∵ (vertical leg)² = 100 - 36 = 64

∴ Vertical leg  = √64 = 8 units

∴ The vertical distance the ant have to walk is 8 units


Related Questions

Drag the correct steps into order to evaluate 42 + t6 for t = 12.

Answers

Answer:

42+ (12)6=

42+72=114

Step-by-step explanation:

use pemdas to eliminate parethesis then add them together

Answer:

1. 42 + t/6

2. 42 + 12/6

3. 42 + 2

4. 44

Step-by-step explanation:

-You start of with 42 + t/6. If t = 6

-If t = 6, the next step should be to replace t with 12 So it would be 42 + 12/6.

-If we have 12/6 we know to divide. 12 divided by 6 is 2. So we would replace 12/6 with 2. Now we have 42 plus 2

-42 plus 2 is 44.

Which value of y below is the solution to the system shown below. A) y=6 B) y=-1 C) y=-4 D) y=8
Equations: x+2y=27
2x+3y=46

Answers

first set the first equation equal to x

subtract 2y from both sides

x=27-2y now plug this in to the other equation

2(27-2y)+3y=46 distribute

54-4y+3y=46 --> 54-y=46 now subtract 54 from both sides -y=-8 --> D)y=8

If you weren't asked to show work you could just plug the choices given into the equation

Final answer:

By using the elimination method and subtracting the second given equation from the doubled first equation, we find that the solution for y in the system of equations is y=8.

Explanation:

We are tasked with finding the solution for y in the system of equations:

x + 2y = 27

2x + 3y = 46

To solve the system, we can use either the substitution method or the elimination method. Let's use the elimination method for this problem:

Multiply the first equation by 2:

(2)(x + 2y) = (2)(27)

2x + 4y = 54

Now we have:

2x + 4y = 54 (from step 1)

2x + 3y = 46 (original second equation)

Subtract the second equation from the first:

(2x + 4y) - (2x + 3y) = 54 - 46

y = 8Thus, y=8 is the solution to the system of equations, which corresponds to option D.

The ages of 10 students in mrs.kiperlings class are 14,14,13,13,13,15,14,14,13,13.what is the mean absolute deviation of the ages.

Answers

Answer:

13.6

Step-by-step explanation:

Add all of the ages up:

14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13 = 136

Then divide that by 10:

136/10 = 13.6

Final answer:

To calculate the mean absolute deviation of the ages in Mrs. Kiperling's class, first calculate the mean, then the absolute differences between each age and the mean, and finally average those differences to get an MAD of 0.6 years.

Explanation:

The mean absolute deviation (MAD) of a set of numbers is a measure of how spread out the numbers are from the average (mean). To calculate the MAD, we first find the mean of the data set, then find the absolute differences between each data point and the mean. Finally, we average those absolute differences to get the MAD. In this case, we begin by calculating the mean of the student ages:

Mean age = (14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13) / 10 = 13.6

Next, we find the absolute differences from the mean for each age:

|14 - 13.6| = 0.4|14 - 13.6| = 0.4|13 - 13.6| = 0.6|13 - 13.6| = 0.6|13 - 13.6| = 0.6|15 - 13.6| = 1.4|14 - 13.6| = 0.4|14 - 13.6| = 0.4|13 - 13.6| = 0.6|13 - 13.6| = 0.6

Now we calculate the mean of these absolute differences:

MAD = (0.4 + 0.4 + 0.6 + 0.6 + 0.6 + 1.4 + 0.4 + 0.4 + 0.6 + 0.6) / 10 = 6 / 10 = 0.6

So, the mean absolute deviation of the student ages in Mrs. Kiperling's class is 0.6 years.

What is the equation of the line that is perpendicular to the given line and passes through point (2,5)?

Answers

Answer:

[tex]\large\boxed{y=-\dfrac{1}{3}x+1}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)[/tex]

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}[/tex]

[tex]\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1[/tex]

The tables show some input and output values:


Table A
Input Output
1 7
2 7
2 9
4 5
Table B
Input Output
6 1
7 3
8 2
9 5









Which tables represent functions?
Only A
Only B
Both A and B
Neither A nor B

Answers

Your answer would be Only B

Table A has a repeated number in the inputs, while Table B does not

In the tables, only B represents functions.

What is a function?

A function is a relation in which each domain value has only one range value. If a domain has more than one image in the range, it is not a function.

We can determine which table is a function as follows:

Observe table A.

We can see that the input value of 2 has two outputs.

This means that table A is not a function.

Observe table B.

In table B, all input values have one and only one output value.

This table represents a function.

Therefore we have found that, from the given tables, only B represents functions. The correct answer is option B.

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| 5 - 9 | - | -2 |

What are these brackets called and what's the answer??

Answers

Answer:

Step-by-step explanation:

The brackets are absolute value. The absolute value of a number is the distance from zero which can never be negative (distance can’t be negative). Btw the answer is 2

A school is sending six teachers and some students to attend a technology fair the admission price for teachers is 8.50 each and the admission price for students is $6 each if the budget set aside by the school for this event is $250 at most how many students can attend the fair

Answers

31 students can attend the technology fair.

1.) Multiply 8.50 by 6
2.) Subtract 250 by 51
3.) Divide 199 by 6
4.) The answer is 33 1/6 which means you would round it to 33.

The number of students attending the fair will be 33.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a school is sending six teachers and some students to attend a technology fair the admission price for teachers is 8.50 each and the admission price for students is $6 each if the budget set aside by the school for this event is $250.

The number of the students will be calculated as,

( 6 x 8.5 ) + N x 6 = 250

6N = 250 - 51

N = 199 / 6

N = 33

Hence, the number oof the students will be 33.


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Is 0.67 a terminating or a repeating decimal

Answers

Answer:

Terminating decimal.

Step-by-step explanation:

A terminating decimal had an end.

0.67 ends after the 7; therefore it's terminating.

A recurring decimal does not end.

⅓ or 0.333333333... is a recurring decimal because it never ends. Similarly with ⅔ or 0.6666666666....

It is terminating good luck

Solve: log4 (5x-3) + log4 (9-x) = 3

Answers

There is no solution

There are no values of x that will make the equation true.

x approx 0.493942

Step-by-step explanation:

The mystery number is a three-digit number. Its digits are 1, 8, and 4.
• The 4 and the 8 are not next to each other.
• The 1 comes before the 4.
What is the mystery number?

Answers

Answer:

814

Step-by-step explanation:

there has to be a number between 4,8

so either 4 can be at hundred position or 8 can be at hundredth position.

but since 1 comes before 4, then 1 has to be at tens place and 4 has to be at one's place.

so number is 814

Using the given clues, we can determine that the three-digit mystery number with digits 1, 8, and 4, where 1 comes before 4 and 4 is not next to 8, is 184.

The mystery number is a three-digit number where the digits are 1, 8, and 4. With the given clues that the digits 4 and 8 are not next to each other and that 1 comes before 4, we must arrange the digits accordingly.

Since we are told the exact sequence for 1 and 4, with 1 coming before 4, and knowing that 8 cannot be next to 4, the possible arrangement is: the digit 1 first, then 8, and finally 4.

Following these conditions, the mystery number is 184.

Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18.

Answers

3x^2 +6y^2 = 18

Divide each term by 18 to make the right side equal 1:

3x^2/18 + 6y^2/18 = 1

Simplify each term:

x^2/6 + y^2/3 = 1

The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1

Match the values in the ellipse to the standard form:

a = √6

b=√3

k = 0

h = 0

The center = (h,k) = (0,0)

Vertex is h +a, k = (√6,0) and (-√6,0)

Focus is h+c,k = (√3,0) and (-√3,0)

Write 7,000,000+300,000+ 40,000+ 5,000+ 800+ 2 in word form

Answers

seven million+three hundred thousand+forty thousand+ five thousand+eight hundred+two

HOPE THIS HELPED!!

Can I have brain?

7,345,802

Seven million, Three hundred, fourty thousand, eight hundred two

Sebastian saved money in his piggy bank. He kept track on how much money he saved at the end of each week on the line graph below.

How much money had Sebastian saved by the end of seven weeks?

Answers

Answer:

$90

Step-by-step explanation:

Look at the number 7 on the bottom right of the graph. That means at the end of 7 weeks. Now look vertically up from there until you see a point directly above 7 weeks. Look to the left of that point, and you see that the point directly above 7 weeks is at the level of $90. That means that at the end of 7 weeks, he had $90.

X: weeks
Y: total amount saved

(2,30) (4,40)

M=40-30. 10
———- = —- = 5
4-2 2

Y=5x + B
30= 5(2) + B
30=10 + B
-10 -10
20= B


Y= 5x+20
Y= 5(7) + 20
Y= 35+20
Y=55$ Amount saved.

The formula for the area of a trapezoid is A = 1/2 (b+b) h. Explain why the bases of a trapezoid need to be added in the formula

Answers

Step-by-step explanation:

Look at the picture.

We connect two congruent trapezoids as in the picture.

We created a parallelogram with a base length of b₁ + b₂ and a height h equal to the height of the trapezoid.

The formula of an area of a parallelogram:

[tex]A_p=(base)(height)\to A_p=(b_1+b_2)h[/tex]

The area of the trapezoid is half of the parallelogram area.

Therefore we have the formula of an area of trapezoid:

[tex]A_t=\dfrac{(b_1+b_2)h}{2}[/tex]

Therefore we need to be added the bases of a trapezoid.

What is the probability of drawing a king first and then a jack from a standard deck of cards with replacement?

Answers

Answer:

1/169

Step-by-step explanation:

There are total 52 cards in deck. Also, there are 4 kings and 4 jacks in the deck.

Probability of choosing a king out of 4 kings and total there are 52 cards

∴ Ans1 = ⁴C₁/⁵²C₁ = 4/52 = 1/13

The cards are drawn with replacement so again there will be total 52 cards.

Probability of choosing a jack out of 4 jacks and total there are 52 cards

∴Ans2 = ⁴C₁/⁵²C₁ = 4/52 = 1/13

So, ans=Ans1 * Ans2 = 1/13 *1/13 = 1/169

The figure is made up of a cylinder and a hemisphere.

To the nearest whole number, what is the volume of this figure?

Use 3.14 to approximate π . Round only your final answer to the nearest whole number.

Answers

Answer: It's 170

Step-by-step explanation: if you put 170.1 it counts it as wrong

Find the values of x and y. Write your answer in simplest form.

Answers

Answer:

y = 6√3 and x = 6

Step-by-step explanation:

this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.

To find y, write and solve an equation of ratios, as follows:

adj side           adj side      (adjacent to the 30° angle)

    y                       √3

 hypo               hypo    then (cross multiplying):  2y = 12√3, and

    12                     2       y = 6√3

If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):

[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.

Answer:

x = 6

y ≈ 10. 40

Step-by-step explanation:

Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.

hypotenuse = 12

adjacent = x

opposite = y

cos 60° = adjacent/hypotenus

cos 60° = x/12

cross multiply

x = 12 cos 60°

x = 12 × 0.5

x = 6

Finding y

sin 60° = opposite/hypotenuse

sin 60° = y/12

cross multiply

y = 12 sin 60°

y  = 12 × 0.8660254038

y =  10.392304845

y ≈ 10. 40

Which expression gives the area of this figure in square units?

Answers

Answer:12+6

Step-by-step explanation:

I need help please???

Answers

that anser you have highlighted it correct

Find the value of x.
Answer options: 4, 6, 5, 7

Answers

Answer:

x = 6

Step-by-step explanation:

The radius in this case measures; 20/2 = 10 since the diameter is 20.

The chord measuring 16 units has been bisected, hence each portion measures 8 units.

We now apply Pythagoras theorem since we are dealing with a right angled triangle with 2 given sides;

x^2 = 10^2 - 8^2

x^2 = 36

x = 6

Final answer:

Without a specific equation or sufficient context, it is not possible to determine the correct value of x from the provided answer options (4, 6, 5, 7). The provided excerpts mention various unrelated values and scenarios involving x.

Explanation:

The specific value of x is not provided in the context of the information given, making it impossible to accurately determine its value. The excerpts given mention several different equations and scenarios, including various values for x such as x=3, x=-7, and instances where x=1 is a solution. However, these are not directly related to a given problem or an equation we can solve in this context.

Moreover, references to checking answers online with exercise codes and the mention of convergence related to initial guesses suggests that these excerpts are from a discussion involving solving equations using numerical methods, possibly from a textbook or set of course notes. To find the correct value of x, we would need to know the specific equation or problem we are trying to solve.

Without a clear and specific equation to solve, or additional context, we cannot accurately determine which of the answer options (4, 6, 5, 7) is the correct value of x.

Find the volume of the cylinder. Rounded to the nearest tenth 9cm and 2cm​

Answers

V=πr2h

V=3.14(9)2(2)

V=3.14(81)(2)

V=254.34(2)

V=508.68

Which formula should be used to find the area of the composite shape?

Answers

The last option seems the best one: the figure is composed of a square/rectangle and a triangle. The area of the rectangle is the product of its dimension (i.e. [tex]lw[/tex]), while the area of the triangle is half the product of the base and height ([tex]\frac{1}{2}bh[/tex]).

The sum of the two areas is the area of the composite shape.

ANSWER

area equals half of base times height plus length times width so d  

simplify (6 to the power of negative 2), (3 to the power of negative 3), (3 times 6)the power of 4.

Answers

Answer:

[tex]( {6}^{ - 2}) ( {3}^{ - 3}) ( {3 \times 6})^{4} = \frac{ {3}^{4} {6}^{4} }{ {3}^{3} {6}^{2} } = 3( {6}^{2} ) = 3(36) = 108[/tex]


i don't understand this. my teacher wasn't at school and this was homework​

Answers

The answer would be A. 198 cm. To find the circumference of a circle you take c=2piR. You would find the circumference of the bigger wedges and divide by 2 since it makes up 1/2 the circle. Then you would do the same for the smaller wedges and it would be approximately 198 cm

what is 10 times as much as 430?​

Answers

Answer:

4300

Step-by-step explanation:

430*10=4300

Answer:

43

Step-by-step explanation:

43 x 10 = 430

2+2 soidkdidjjdhfjhfhdjdjdjjd inndjsjjsjdjdudididi

Answers

Answer:

2+2=4

Step-by-step explanation:

If you have 2 apples and add 2 more apples you have 4.

LOL I had to do an apple example

what is the soution to the equation 1/2 x + 3 = 2/3 x + 1
a.1/3
b.2/3
c.2
d.12

Answers

Answer:

d

Step-by-step explanation:

To eliminate the fractions in the equation multiply all term on both sides by the lowest common multiple of 2 and 3, that is 6

3x + 18 = 4x + 6 ← equation with no fractions

Subtract 4x from both sides

- x + 18 = 6 ( subtract 18 from both sides )

- x = - 12 ( multiply both sides by - 1 )

x = 12 → d

Answer:

[tex]\boxed{\bold{x=12}}[/tex]

Step-by-step explanation:

Subtract 3 from both sides

[tex]\bold{\frac{1}{2}x+3-3=\frac{2}{3}x+1-3}[/tex]

Simplify

[tex]\bold{\frac{1}{2}x=\frac{2}{3}x-2}[/tex]

Subtract [tex]\bold{\frac{2}{3}x }[/tex] from both sides

[tex]\bold{\frac{1}{2}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x}[/tex]

Simplify

[tex]\bold{-\frac{1}{6}x=-2}[/tex]

Multiply both sides by -6

[tex]\bold{\left(-\frac{1}{6}x\right)\left(-6\right)=\left(-2\right)\left(-6\right)}[/tex]

Simplify

[tex]\bold{x=12}[/tex]

1.An electrician cut 5 1/2 feet of wire into three equal sections. After cutting, how long was each piece?

2.Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with 3/4 cup in each. After dividing, how many bags of snack bags will Pete have?

Answers

Answer:

Part 1) [tex]1\frac{5}{6}\ ft[/tex]

Part 2) [tex]10\frac{2}{3}\ bags[/tex]

Step-by-step explanation:

Part 1)

step 1

Convert mixed number to an improper fraction

[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]

step 2

Divided the improper fraction by 3

[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]

step 3

Convert to mixed number

[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]

Part 2)

step 1

Convert mixed number to an improper fractions

[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]

[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]

step 2

Adds the two quantities

[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]

step 3

Divide the total cups by 3/4 to find the number of bags

so

[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]

step 4

Convert to mixed number

[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]

Help please please anyone can you explain please

Answers

I can't read it well, but if u need to learn the volume of the cube do this. Count the number of squares. Top is 8. So bottom is 8. =16

Front is 12. So back is 12. =24

Side is 6. So other side is 6. =12.

16+24+12=42.

42 is ur volume.

Ta Da!

The Logo For Super Snacks Company is Shown below. What is the area of the shaded region? Round to the nearest whole number. PLEASE HELP

Answers

Answer:

50.27 square inches

Step-by-step explanation:

If you look at the logo for the Super Snacks Company, you'll see it's basically a cylinder that has been cut and twisted, but if you just curve the top part the other way around, you'll have a perfect cylinder again.

We can then calculate the lateral surface area of the cylinder, to do so we use the following formula:

L = 2 * π * r * h

Which means we multiply by 2 by the constant π (3.1416) by the radius of the cylinder (in our case 2 inches, since the full diameter is 4 inches) and the height (in our case 4 inches).  So, we enter the numbers in the formula and solve it:

L = 2 * 3.1416 * 2 * 4 = 50.2656 square inches.

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