What will happen to the area of a rhombus if both the diagonals are quadrupled

Answers

Answer 1

Answer:

then the answer will be multiplied by 16

Step-by-step explanation:

a rhombus with diagonals 1 and 1 will have an area of 0.5

a rhombus with diagonals 4 and 4 will have an area of 8

8 is 16 times 0.5 so the area will be the number times 16

Hope this helps :)


Related Questions

In the data set below, what is the median

Answers

it’s 6
since it’s right at 5 & 7

please help !! thank youuu

Answers

Answer:

No, she should have added ([tex]6^2[/tex]) and ([tex]8^2[/tex]) and compared that too ([tex]10^2[/tex]).

Step-by-step explanation:

An easy way to determine if a triangle is right is by using the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and  (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle. The hypotenuse is always the largest side in a right triangle.

One can substitute in the given sides and solve to prove that the given triangle with the following side lengths (6, 8, 10) forms a right triangle.

[tex](6)^2 + (8)^2 = (10)^2\\\\36 + 64 = 100\\\\100 = 100[/tex]

Thus the given triangle is a right triangle because one can apply the Pythagorean theorem to its side lengths.

The mistake that was made in the given problem was that the person in the given situation set up the equation using the wrong sides, and thus got a wrong result. Therefore, one should select the following option as their answer,

No, she should have added ([tex]6^2[/tex]) and ([tex]8^2[/tex]) and compared that too ([tex]10^2[/tex]).

Write an exponential equation for the following situation: A city's population increases each year by 2.7 percent. The current population is 280,000.

Answers

f(x) = 280,000 • 2.7^x

1. Find the exact value of sin and cos of 195 degrees.

Answers

Answer:

Sin195* = -[tex]\frac{\sqrt{6}-\sqrt{2} }{4 }[/tex]

Cos195* = - [tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]

Step-by-step explanation:

pls help
what is the surface area of this triangular prism in square units​

Answers

What are your answer choices?

The diagram shows a square ABCD
M is the midpoint of AB
N is the midpoint of AD
The area of the shaded triangle AMN is 8cm^2
Work out the area of triangle MCN

Answers

Maybe şt can be happen but ım not sure 26

The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².

A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.

The area of a triangle is half of the product of the base and height.

Given that

ABCD is square and M and N are mid-points of lines AB and AD respectively.

Area of triangle, ΔAMN = 8 cm²

[tex]\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16[/tex] ...(i)

Since ABCD is square, therefore AB = AD.

Also, as M and N are mid-points of lines AB and AD, so

AN = AM.

Substitute AN = AM in equation (i),

[tex]AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm[/tex]

So,

AD = 2 × AN

     = 2 × 4

     = 8 cm

As ABCD is square,

AB = BC = CD = AD = 8 cm.

Area of the square ABCD = 8² = 64.

Since CD = BC, ND = MB, ∠D = ∠B.

Therefore by SAS property of similarity,

ΔCDN ≅ ΔCBM

Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.

                                              [tex]= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2[/tex]

Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM

Area of the triangle, ΔCMN = 64 - 8 - 16 - 16

                                              = 24 cm²

Therefore, the area of ΔCMN  is 24 cm².

Learn more about Triangles here:

https://brainly.com/question/2773823

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I didnt answer the question but if it looks like i did i did by accident but still help me

Answers

Answer:

15% because it's 15 out of 100

Choose the greatest-.03; .3; .291; or.34

Answers

Answer:

The greatest number would therefore be 291

Answer:

.34

Step-by-step explanation:

It's literally the biggest out of the four.

Using the markings below, determine which of the following is the measure of angle 2

Answers

Answer:

4. 132°

Step-by-step explanation:

Both the triangles on the left and right are isosceles

The top angle of the triangle on the left:

180° - 2*69° = 42°

The top angle of the triangle on the right:

90° - 42° = 48°

This is the same angle as supplementary with angle 2:

∠2 = 180° - 48° = 132°

Correct choice is 4

Seven buddies got together to eat chicken wings. There were total of 133 chicken wings. If each of the buddies ate the same number of chicken wings, how many did each person eat?

A 19
B. 13
C. 15
D. 17​

Answers

They each had 19 chicken wings!

Answer:

133÷7=19

19 is the answer

What is formed when a sodium atom and chlorine atom react chemically

Answers

Answer:

Step-by-step explanation:

When sodium and chlorine atoms come together to form sodium chloride (NaCl), they transfer an electron. The sodium (Na) atom transfers one electron to the chlorine (Cl) atom, so that they both have full outer shells.

A frustum of solid right pyramid has a square base and a square base and a square top with sides 12 cm and 8 cm respectively. The height of the frustum is 5.4 cm​

Answers

Answer:

a. S = 6.72 cm

b. A = 1075.70 cm²

c. V = 1,719.1 cm³

Step-by-step explanation:

How to Find

The volume of a frustum of a regular pyramid is equal to one-third of the altitude multiplied by the sum of its bases and the geometric mean between them.

How to Solve

Volume = (1/3)πh (r12 + r22 + (r1 * r2))

Lateral Surface Area

= π(r1 + r2)s = π(r1 + r2)√((r1 - r2)2 + h2)

Top Surface Area = πr12

Base Surface Area = πr22

Total Surface Area

= π(r12 + r22 + (r1 * r2) * s)

= π[ r12 + r22 + (r1 * r2) * √((r1 - r2)2 + h2) ]

To find:

a. the height of the pyramid of which the frustum is a part.

Then, s = 6.7201190465646 cm

In the nearest tenths, the slant height is S = 6.72 cm

b. the surface area of the pyramid.

Then, L = 422.23753255872 cm²

In the nearest tenths, the Surface area of the pyramid is A = 1075.70 cm²

c. the volume of the frustum

Then, V = 1719.0795000443 cm³

Therefore, the volume is 1719.01 cm³ In the nearest tenths

What is the coefficient of the term of degree 7 in the polynomial below? 2x^6 + 2 – 4x^2 + 5x^7 – 4x A. 2 B. 4 C. 6 D. 5

Answers

Answer:

C.6

Step-by-step explanation:

PLZ HELP ASAP BRANILIEST!!!! Seven hundred people are gathered in a trapezoidal park with bases measuring 50 yards and 90 yards and a height of 50 yards.

Find the population density of the park.

The population density of the park is ______ people per square yard.

Find the population density if the bases and height are halved.


The population density of the park if the bases and height are halved is
________people per square yard.

Answers

Answer:

0.2, 0.8

Step-by-step explanation:

The area of the park is 0.5h(b1 + b2), where h is the height, b1 is the first base, and b2 is the other base.

Plug the values in:

Area = 0.5(50)(50+90) = 0.5(50)(140) = (50)(70) = 3500

Since 700 people are in the park, there is 700/3500 = 0.2 people per square yard.

If the bases and height are halved, the new area is:

Area = 0.5(25)(25+45) = (35)(25) = 875

The new population density is 700/875 = 0.8 people per square yard.

PLEASE HELP!! I WILL GIVE POINTS AND BRAINEST!

Answers

Answer:

Yes. They are similar because they have the same shape and one is just flipped and smaller.

Answer: Yes

Step-by-step explanation: For a quadrilateral to be similar, the angles must be congruent. This is true since the angle measures are the same since it flipped and dilated.


7/20X5/5 equals? Any help
?

Answers

7/20. 5/5 =1 explanation

Determine if the 2 triangles are congruent.
A) AAS
B) Not enough information
C) SAS
D) HL ​

Answers

The answer is SAS which is C

A concrete mixing tub contains 34 liters of water and 22 liters of sand. Starting at the same time, water is added to the tub at a rate of 5 liters per minute,
while sand is also added to the tub at a rate of 7 liters per minute.
Part A
In how many minutes will the tub contain equal amounts of water and sand?
2 minutes
6 minutes
12 minutes
24 minutes

Answers

Answer:

6 minutes

6

6 minutes

6 minutes

Good luck Question 16 Which of the following is the graph whose equation is (x + 1)2 + (y - 6)2 = 9?​

Answers

Answer:

Step-by-step explanation:

This should have choices, but I'll provide a graph. You choose which one is it like.

Center: -1,6

radius: 3

Notice that the radius is 3 when measured between y = 6 and y = 9

Which is NOT a test to prove triangles congruent?
SAA SAS SSS SSA

Answers

SAA is not a triangles congruent

A house has a square room with an area of 125 ft2.
What is the length of the side of the square room to the nearest tenth?

Answers

11*11 is 121 so if you round one of this 11’s up to 11.364 you get just over 125

Answer:

11.2 ft

Step-by-step explanation:

doing map testing rn el o el

Humphrey needs to mail a package. He weighs it at home as 20.2 ounces. When he gets to the post office, the clerk weighs it at 18.6 ounces. What is the percent error in the weight of the package, assuming that his home weight is the correct weight?

Answers

Answer:

7.92%

Step-by-step explanation:

Given the following

Weight of package at home = 20.2 ounces.

Weight of the package at the office = 18.6ounces

Decrement = 20.2 - 18.6

percentage error = decrement/wt at home * 100

percentage error = 1.6/20.2* 100

percentage error = 160/20.2

percentage error = 7.92

HEnce  the percent error in the weight of the package is 7.92%

A ball is thrown into the air from the top of a building. The height, h (t), of the ball
above the ground t seconds after it is thrown can be modeled by the function
h (t) = -16t+64t + 80. Explain the meaning of h (0) = 80 in the context of
the problem.

Answers

Answer:

See below

Step-by-step explanation:

h(0) is the height of the ball when it is thrown.  h(0) = 80 ft.  The top of the building is 80 ft. above ground.

7. Marcy is taking part in a summer movie club. She will
earn 3 points for each movie she attends throughout the
summer. Which equation represents the relationship
between y, the total points, and x the number of movies?
A y=3x
B. y = 3+x
C. x= 3y
D. x=y+3

Answers

Answer:

The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;

A y = 3·x

Step-by-step explanation:

The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie

The number of points she will earn for attending each movie = 3 points

The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;

y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write

[tex]y = \sum\limits_{i =1}^x 3 = 3 \times x[/tex]

Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.

Explain the differences and similarities between 8 + (−5) and 8 − 5.

Answers

Answer:

The use different equations but both equal 3

Step-by-step explanation:

Help plzz need the answer and that explanation plz don't send a file I need help with question 21!!

Answers

Answer:

No, they cannot be becuase the points are too different- no same numerical values.

I've tried to get the answer for this 13 times now (not joking), plzzz help: write a formula that represents the number of people in the nth row (pre-calc problem, I only need the formula)
I will report if sent a link

Answers

Answer:

2820 seatsaₙ = 3n + 9

Step-by-step explanation:

This is an AP with:

The first term a₁ = 12Common difference d = 3Number of terms n = 40

Number of the seats:

Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seats

Formula of nth term:

aₙ = a₁ + (n - 1)daₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9aₙ = 3n + 9

Part A: Which data set has a larger standard deviation


A) Data set 1, the data is more spread out

B) Data set 1, there are more data values

C) Data Set 2, the data is less spread out

D) Data set 2, there are more data values


Part B: Which data set will have a smaller interquartile range?


A) Data set 1, the data is more spread out

B) Data set 1, there are more data values

C) Data Set 2, the data is less spread out

D) Data set 2, there are more data values

Answers

Answer:

1. A) the data is more spread out

2. C) the data is less spread out

Step-by-step explanation:

1) Standard Deviation is a measure of dispersion, denotes the spread of data around measure of central tendency (usually arithematic mean).

A data set with higher standard deviation implies A) Data is more spread out or scattered, & vice versa less spread for less standard deviation.

2) Interquartile range is also a measure of dispersion, denoting difference between Q1 (25th percentile) & Q3 (75th percentile).

A data set with smaller interquartile range implies C) Data is less spread out, & vice versa more spread for higher interquartile range.

Please help me!!
3. Determine whether or not AB is tangent to circle O. Show your work.​

Answers

Answer:

not tangent

Step-by-step explanation:

two reasons, first

Triangle AOB is not a right triangle

line AB intersects the circle O at two points.

The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

How are radius and tangent to a circle related?

There is a theorem in mathematics that:

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.

So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.

Assuming AB is tangent, then ABO is right angled we should get:

[tex]H^2 = P^2 + B^2\\30^2 = 16^2 + 12^2\\900 = 256 + 144\\900= 500[/tex]

This statement is false, and therefore, so as our assumption is false that AB is tangent to circle O. Thus, AB is not tangent to circle O.

(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)

Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.

Learn more about tangent to a circle here:

https://brainly.com/question/7942024

At the library, Herb spent hour looking for a book, 1 hour
reading, and į hour doing research on the computer. How many
hours did Herb spend at the library?

Answers

Answer:

3 hours obviously

Step-by-step explanation:

1 hour looking for a book, 1 hour reading it, and one hour doing research on the book = 3 hours

3 hours lol. Just add 1 hour looking for a book. 1 hour reading. And 1 hour doing research. 1+1+1=3
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