The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

Answers

Answer 1

Answer:

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is $(m)/(n)$ , then the proportion of their area is $(m^2)/(n^2)$ .

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

$(x^2)/(3^2)=(9)/(1)$

$(x^2)/(9)=(9)/(1)$

$x^2=9\cdot 9$

$x^2=81$

Take positive square root as length cannot be negative:

$√(x^2)=√(81)$

$x=9$

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

Answer 2

Answer:

Answer:

the answer is 9

Step-by-step explanation:

Just did the lesson

Related Questions

A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivot to the point the force is applied. A force of 50 pounds applied to the lever 36 inches from the pivot point of the lever will move the rock. Which function models the relationship between f, the amount of force applied to the lever and d the distance of the applied force from the pivot point?
Where do you put smart hot dogs
The measure of the angle of hands of a clock at 8:00
10 kilometers is about6 milesB6 feet10 feet60 feet
A scientist has two solutions, which she has labeled Solution A 60% and Solution B 75% Each contains salt. She knows that Solution A is salt and Solution B is salt. She wants to obtain ounces of a mixture that is salt. How many ounces of each solution should she use

This dot plot shows the number of cakes sold each day in aunt alice's cake shop last month. what is the median number of cakes sold each day?

Answers

Answer:

The median is 2.

Step-by-step explanation:

I just did the test :)

Answer:

the answer should be 2

Step-by-step explanation:

Simplify (3x2 − 3 + 9x3) − (4x3 − 2x2 + 16).x3 − 5x2 + 25
−x3 + x2 − 25
5x3 + x2 + 13
5x3 + 5x2 − 19

Answers

Answer: 5x³ + 5x² - 19

Answer:

The answer is D

Step-by-step explanation:

Let's simplify step-by-step.

3x2−3+9x3−(4x3−2x2+16)

Distribute the Negative Sign:

=3x2−3+9x3+−1(4x3−2x2+16)

=3x2+−3+9x3+−1(4x3)+−1(−2x2)+(−1)(16)

=3x2+−3+9x3+−4x3+2x2+−16

Combine Like Terms:

=3x2+−3+9x3+−4x3+2x2+−16

=(9x3+−4x3)+(3x2+2x2)+(−3+−16)

=5x3+5x2+−19

Answer:

=5x3+5x2−19

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

Answers

Answer:

So minute hand will rotate $\pi radian$ in half an hour

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $(360)/(2)=180^(\circ)$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $(\pi )/(180)$

So $180^(\circ)=180* (\pi)/(180 )=\pi radian$

So minute hand will rotate $\pi radian$ in half an hour

HELP PLEASEIf the radius of the base of the cone, r, is 2 feet and the height,h, is 12 feet, what is the volume of the cone?

Answers

For a cone, the equation for volume would be
V = π r^2 h/3.

( volume = pi x radius squared x height / 3)

To find the volume for this question, you would set up the equation like this:

V = π x 2^2 x 12 / 3

Then, following the order of operation, you would do the following:

V = π x 4 x 12 / 3

(You get the 4 from 2 squared)

V = π x 4 x 4

(You get the second 4 from dividing 12 by 3)

V = π x 16

(You get 16 from multiplying 4 and 4)

V = 16π

(You get 16π from multiplying 16 and π, and the number is always in front of the π, so you would never get a π16, it would only be 16π)

So, your volume would be 16π, which is answer D.

I hope I helped! c:

A normal distribution has a mean of 0.40 and standard deviation of 0.028. What percentage of observations will lie between 0.372 and 0.428?

Answers

Solution:
To evaluate for P(0.372<x<0.428) we shall proceed as follows:
z-score is given by:
z=(x-μ)/σ
thus when x=0.372:
z=(0.372-0.4)/0.028
z=-1
thus
P(x<0.372)=P(z<-1)=0.1587

when x=0.428
z=(0.428-0.4)/(0.028)=1
P(x<0.428)=P(z<1)=0.8413
thus
P(0.372<x<0.428) =P(z<1)-P(z<-1)=0.8413-0.1587=0.6826

Final answer:

To find the percentage of observations between two values in a normal distribution, we can convert the values to z-scores and use a z-table to find the corresponding areas. In this case, the percentage of observations between 0.372 and 0.428 is 68.26%.

Explanation:

To find the percentage of observations that will lie between 0.372 and 0.428 in a normal distribution with a mean of 0.40 and standard deviation of 0.028, we need to find the area under the curve between these two values.

Using a standard normal distribution table or z-table, we can convert the values to z-scores by subtracting the mean and dividing by the standard deviation. The z-score for 0.372 is (0.372 - 0.40) / 0.028 = -1, and the z-score for 0.428 is (0.428 - 0.40) / 0.028 = 1.

By looking up the corresponding area for these z-scores in the z-table, we find that the area to the left of -1 is 0.1587 and the area to the left of 1 is 0.8413. To find the percentage between -1 and 1, we subtract the smaller area from the larger area: 0.8413 - 0.1587 = 0.6826 or 68.26%.

Learn more about Normal distribution here:

brainly.com/question/34741155

#SPJ11

Rewrite 19/5 as a mixed number.

Answers

19/5 as a mixed number is 3 4/5.

Other Questions

What is the length of BC?A. 9 unitsB. 11 unitsC. 15 units D. 16 units

What is the probability that a student who bought juice chosen at random purchased grape flavor

(-2)to the 8th power = (-2) (-2) (-2) (-2)(-2)(-2)(-2)(-2) =258

Write an algebraic expression for two fifths of the square of a number