4. Ashley claims that if she triples the side length of a square (s), the area of the square will also be tripled. Do you agree? Explain your thinking. ​

Answers

Answer 1

Answer :-

Let the side of the square measure a cm, thus, according to the question,

New length = 3(a cm)

We know that,

Area ( Square ) =

Thus, the area of the square with normal length i.e. a cm, will be,

Area = a x a

Area = a²

Now, by taking the new length, the area will become,

Area = 3a x 3a

Area = 9a²

Now,

We observe that, if we divide these, we get,

9a²/a²

( a² will get canceled since its common )

Thus, the ratio becomes,

9 : 1 = Area square with tripled length : Area of square

Thus, the area will increase by 9 times, and not 3.

Hence, Ashley's assumptions are wrong.


Related Questions

Help me please this topic is midpoint

Answers

Answer:

They bisect each other.

Step-by-step explanation:

→Solution,

Here, coordinate of quadrilateral DEFG are D(-3,-5), E(-4,3), F(2,6) and G(3,-2).

⇒For diagonal DF.

Let,(x1,y1)=(-3,-5)

     (X2,Y2)=(2,6)

→Using midpoint formula.

[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{-3+2}{2} ,y=\frac{-5+6}{2}\\\\x=\frac{-1}{2} ,y=\frac{1}{2}[/tex]

⇒For diagonal EG.

Let,(x1,y1)=(-4,3)

     (X2,Y2)=(3,-2)

→Using midpoint formula.

[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{-4+3}{2} ,y=\frac{-2+3}{2}\\\\x=\frac{-1}{2} ,y=\frac{1}{2}[/tex]

Here, the midpoint of diagonal DF and EG is equal.

Hence they bisect each other.

Midpoint of DF and EG must be same

#DF

M(x,y)

((-3+2)/2,(-5+6)/2)(-1/2,1/2)

#EG

P(x,y)

((-4+3)/2,(3-2)/2)(-1/2,1/2)

As mid points are equal diagonals bisect each other

Manny drew a scale diagram of his classroom. His real classroom is 20 feet wide. Manny's drawing is 4 centimeters (cm) wide. What is the scale factor of the drawing?

Answers

Answer:

1 cm : 5 feet

Step-by-step explanation:

4 cm : 20 feet

1 cm : 5 feet

20 has been divided by 4.

help me please please

Answers

Answer:

81.7 in (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Given:

r = 13 in

Substituting given value into the formula:

[tex]\begin{aligned}\implies \textsf{Circumference} & =2 \pi \cdot 13\\ & = 26 \pi\\ & = 81.7\: \sf in\:(nearest\:tenth)\end{aligned}[/tex]

20) Angel asked some of her friends to write down the types and number of pets they own. The bar graph shown here displays the information she received.
Angel predicts that the next friend she asks will not own a rabbit.
Which statement justifies Angel's prediction?

A) None of Angel's friends owns a rabbit.

B) There are more rabbits owned than birds.

C) There are fewer rabbits owned than any pet.

D) There are just as many birds owned as rabbits.

Answers

Answer: c

Step-by-step explanation: Its most likely rabbit was very few compared to other pet on the graph

Identify the slope and y-intercept of each of the following lines. Then graph each line.

8y = -2x + 32

Answers

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\rightarrow \sf 8y = -2x+32[/tex]

[tex]\rightarrow \sf y =\dfrac{ -2x+32}{ 8}[/tex]

[tex]\rightarrow \sf y =\dfrac{ -2x}{ 8} + \dfrac{32}{8}[/tex]

[tex]\rightarrow \sf y =\dfrac{ -1}{ 4}x + 4[/tex]

comparing with y = mx + b

slope: -1/4     and   y-intercept: 4

x-intercept:          ( then y will be 0 )

[tex]\hookrightarrow \sf -2x + 32 = 0[/tex]

[tex]\hookrightarrow \sf -2x = -32[/tex]

[tex]\hookrightarrow \sf x = 16[/tex]

In order to graph the line

plot x = 16 on the x-axis     coordinate: (16, 0)plot y = 4 on the y-axis     coordinate: (0, 4)Then using a scale/ruler draw a straight line through this points.

Graph:

8y=-2x+324y=-x+16y=-1/4x+4

Compare to slope intercept form

slope=m=-1/4

I NEED HELP WITH THIS ASAP AND PLEASE

Answers

For Step 2 try subtraction property of equality, and for step 4 try multiplication property of equality.

Please help will give 5 stars on your answers.

Answers

Answer:

it's the third one

Step-by-step explanation:

( ) means multiple

$80 x 12months plus the original 375

I like you pf picture bye

PLS HELP 50 POINTS IM ON A TIMER
What is the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X? Explain your reasoning
N = 60
M = 120

Answers

Answer:

360

Step-by-step explanation:

The inside corners of an equilater trinagle measure 60 degrees

Besides: ∠M + ∠N = 180 because supplementary angles

∠M + 60 = 180 --> ∠M = 120

Same reasoning for the pair ∠Q , ∠R and for the pair ∠X , ∠top insideangle

Hence ∠R = 120 and ∠X = 120

Therefore, the sum of the exterior angles is

∠M + ∠R + ∠X = 360

Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth. Do not include "x=" in your answer.

Answers

The square of the hypotenuse is equal to the sum of the square of other two sides. The value of x from the given diagram to the nearest tenth is 11.2

Pythaogram theorem

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 5.6 + 8.4 = 14

Other sides are x and 8.4

According to the theorem:

14^2 = x^2 + 8.4^2

x^2 = 14^2 - 8.4^2

Simplify

x^2 = 196 - 70.56
x^2 = 125.44

x = 11.2

Hence the value of x from the given diagram to the nearest tenth is 11.2

Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544

Answer:

11.2

Step-by-step explanation:

just did it

Which of the following estimates at a 95% confidence level most likely comes form a small sample?

Answers

OptionAStep-by-step explanation:95% confidence interval is obtained using the following formulaCOnfidence interval lower bound = mean - critical value * sigma/sq rt nand upper bound = mean + critical value*sigma/sq rt nThus margin of error = critical value*sigma/rt nvaries indirectly as n provided others are remaining the same.Hence lower sample indicates higher margin of errorOut of 4 options given we find that 1 option has maximum margin of error as 21%Hence option. A is most likely coming from a small sample.

The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds

does the water droplet hit the ground?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in the box. ​

Answers

It’s negative 4 because the scale shows there is 4 lines

I need some help will mark brainliest

Answers

Answer:

(n + 4)^3/5 .

Step-by-step explanation:

⁵√(n + 4)^3

⁵√(n + 4) = (n + 4)^1/5

⁵√[(n + 4)^3]  =  (n + 4)^1/5 ^ 3

=  (n + 4)^3/5 .

So

How many protons, neutrons, and electrons are found in a neutral atom of carbon-13?

Answers

Since both are neutral, we know that each has 6 electrons as well. The sum of protons plus neutrons equals the mass number 12 in 12-C, so carbon-12 has 12 – 6 protons = 6 neutrons. The sum of protons plus neutrons equals the mass number 13 in 13-C, so carbon-13 has 13 - 6 protons = 7 neutrons.

Write 7/16+3/16 in simplest form.

Answers

Answer:

Step-by-step explanation:

Remark

Normally you would have to make sure that the bottoms of each fraction to be added would be the same. In this question, they are, so nothing further to getting the bottoms the same has to be done,

Solution

answer = 7 / 16 + 3 / 16

answer = (7 + 3) / 16

answer = 10/16        

Both top and bottom are even numbers so you can divide both top and bottom by at least 2.

10/2 = 5

16 / 2 = 8

So answer = 5/8

state the domain of f(x) = √x

Answers

Answer:

The domain is equal to (x)=√x

(x)=x is x>0x>0

What is the rate of change of the function y = − 1/4 x + 1

Answers

Answer:

-1/4

Step-by-step explanation:

Hello!

The rate of change is also known as the slope.

Standard equation of a line: y = mx + b

y: outputm:  slopex: inputb: y-intercept

So, if we match the standard form to the given function:

y = mx + by = -1/4x + 1

-1/4 is m, or the rate of change.

5200 at 7.36%for 54 months

Answers

Answer:

i am not 100% sure but i think

Step-by-step explanation:

20,666.88 i believe that is the answer

In 2014, a toy store sold 11,816 stuffed animals. In 2015, the toy store sold 24,380 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?

Answers

11,816+24,380=36,196
36,196*2= 72,392
72,392+11,816= 84,208

AB is tangent to circle O find the length of radius r to the nearest tenth please answer ASAP will mark as brainlist

Answers

Answer:

7.62

Step-by-step explanation:

Using Phythagoras' theorem...

Hyp^2 = a^2 + b^2

that is:

8^2 = 11^2 + r^2

64 = 121 + r^2

64-121 = r^2

58 = r^2

therefore r = sqrt of 58

NB: Not sure but there you go.

Answer:

r ≈ 3.6

Step-by-step explanation:

∠ OAB is right ( angle between tangent and radius at point of contact )

then Δ OAB is a right triangleΔ

using Pythagoras' identity in the right triangle

with hypotenuse OB = r + 8 , then

OB² = OA² + AB² , that is

(r + 8)² = r² + 11²

r² + 16r + 64 = r² + 121 ( subtract r² from both sides )

16r + 64 = 121 ( subtract 64 from both sides )

16r = 57 ( divide both sides by 16 )

r = [tex]\frac{57}{16}[/tex] ≈ 3.6 ( to the nearest tenth )

Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

1st one is not a right triangle.

2nd one is not a right triangle.

3rd one is not a right triangle.

4th one is a right triangle.

Step-by-step explanation:

1, 2, and 3 could also be "not enough information".

Which image shows a plane slicing a double-napped cone to produce a hyperbola?

Answer is D

Answers

The second image in the diagram is a hyperbola. As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone. This has a very important implication. The plane cuts both cones of the double-napped cone. The third double-napped cone of Figure 3 shows two hyperbolas.

The plane sliced a third double-napped cone to produce a hyperbola

The second image in the diagram is a hyperbola.

As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone.

What is the slant angle?

The slant angle of a pick is defined as the angle between the axis of the pick and the normal direction of the rock surface being cut by the pick.

This has a very important implication.

The plane cuts both cones of the double-napped cone.

The third double-napped cone in two hyperbolas.

Thus, The plane sliced a third double-napped cone to produce a hyperbola.

To learn more about the hyperbola visit:

https://brainly.com/question/2351925

#SPJ2

In triangle ABC, m∠A=23° and m∠B=33°. What is m∠C?

Answers

The measure of angle C is 122 degrees.

We have given that,

In triangle ABC, m∠A=23° and m∠B=33°

We have to determine the remaining angle of the triangle.

What is the sum of the angle of the triangle?

The sum of the angles in a triangle is 180 degrees.

Therefore we get

angle A+ angle B+ angle C= 180 degrees

23+33+angle C=180

angle C=180-56

angle C=122

Therefore the measure of angle C is 122 degrees.

To learn more about the triangle visit:

https://brainly.com/question/2217700

#SPJ1

I’m having a bit issue with them can someone please help?

Answers

You were on the right track. Here are two ways to go about it.

• By definition of conditional probability,

Pr[A | B] = Pr[A and B] / Pr[B]

Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so

Pr[positive and over 35] = 18/100

Out of the 100 pariticipants, 40 are over 35, so

Pr[over 35] = 40/100

Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.

• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.

Solve for t.
2 - 16+ = 6(-3t + 2)

Answers

Answer...

Ok done. Thank to me >:33

For the table, enter an equation that expresses y in terms of x.



x 12 11 10

y 9 8 7

Answers

Answer: y= X-3

Step-by-step explanation:

I plugged it into the calculator. You can also use the formula y2-y1 all over x2-x1. Then use the formula y-y1=m(x-x1).

SBC is an isosceles triangle with main vertex S.
→ Let D be the symmetric of B with respect to C and A the symmetric of C with respect to B.
1) Compare AB and CD
2) Compare the angles SBA et SCD.
3) Deduce that the triangles SBA and SCD are congruent.
4) What is the nature of the SAD triangle?
Help me if u help me u get points I’m poor help me I don’t have much time :(

Answers

Answer + Step-by-step explanation:

1) D be the symmetric of B with respect to C then CD = BC

A the symmetric of C with respect to B then AB = BC

We obtain :

CD = BC

AB = BC

Then AB = CD

2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD

3) we have :

BA = CD

BS = CS

m∠SBA = m∠SCD

Then

the triangles SBA and SCD are congruent

4)

the triangles SBA and SCD are congruent Then SA = SD

Therefore SAD is an isosceles triangle.

Answer:

its SAD

Step-by-step explanation:

I did the test

0.551567 round to the nearest tenth

Answers

Answer:

0.6

Step-by-step explanation:

0.551567

You look at the hundredth value to see if you can find it up to the tenth.

If it's at least between 5-9 then round anything below between1-5 you can not found.

Answer:

0.6

Step-by-step explanation:

Expand the brackets
a. 3(p-q-r)
b. -11(8a-2b)
c. 2(y-1)

Answers

Answer:

a. 3p-3q-3r

b. -88a+22b

c. 2y-2

Answer: Here are your answers...

a.) 3p - 3q - 3r

b.) -88a + 22b

c.) 2y - 2

Step-by-step explanations:

For A: 3 × p - 3 × q - 3 × r

For B: -11 × 8a -11 × -2b

For C: 2 × y - 2 × 1

I hope this helped you!

Please help me on this math

Answers

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

you need to read where the line is along the numbers.

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