Ask question

Ask question

All categories

2 years ago

13

Select all quantities that are proportional to the diagonal length of a square. A. Area of a square B. Perimeter of a square C.

Side length of a square

1 answer:

viva [34]2 years ago

6 0

Answer:

B.Perimeter of a square

You might be interested in

A marine sales dealer finds that the average price of a previously owned boat is $6492. He decides to sell boats that will appea

Oksanka [162]

Answer:

The maximum price that the dealer will sell is $7471 and the minimum is $5513.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 6492, \sigma = 1025$

He decides to sell boats that will appeal to the middle 66% of the market in terms of price.

50 - (66/2) = 17th percentile

50 + (66/2) = 83rd percentile

17th percentile

X when Z has a pvalue of 0.17. So X when Z = -0.955.

$Z = \frac{X - \mu}{\sigma}$

$-0.955 = \frac{X - 6492}{1025}$

$X - 6492 = -0.955*1025$

$X = 5513$

83rd percentile

X when Z has a pvalue of 0.83. So X when Z = 0.955.

$Z = \frac{X - \mu}{\sigma}$

$0.955 = \frac{X - 6492}{1025}$

$X - 6492 = 0.955*1025$

$X = 7471$

The maximum price that the dealer will sell is $7471 and the minimum is $5513.

8 0

2 years ago

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Mrac [35]

The answer would be (x,y) —> (x-1,y). the reasoning being that all of the points on the x axis move to the left by one unit, and all points on the y axis stay the same.

3 0

2 years ago

Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and ang

aalyn [17]

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc EH

Remember that the measure of the complete circle is equal to 360 degrees

so

$arc\ EH+arc\ EF+arc\ FG+arc\ GH=360^o$

Remember that

$arc\ EF=m\angle EDF$ ----> by central angle

$arc\ FG=m\angle FDG$ ----> by central angle

$arc\ GH=m\angle GDH$ ---> by central angle

substitute the given values

$arc\ EH+55^o+70^o+110^o=360^o$

$arc\ EH=360^o-235^o=125^o$

step 2

Which arc is congruent to Arc E H?

we know that

$arc\ EFG=arc\ EF+arc\ FG=55^o+70^o=125^o$

therefore

arc EH is congruent with arc EFG

or

arc EH is congruent with minor arc GE

5 0

2 years ago

Read 2 more answers

Given the general identity tan X =sin X/cos X , which equation relating the acute angles, A and C, of a right ∆ABC is true?

irakobra [83]

First, note that $m\angle A+m\angle C=90^{\circ}.$ Then

$m\angle A=90^{\circ}-m\angle C \text{ and } m\angle C=90^{\circ}-m\angle A.$

Consider all options:

A.

$\tan A=\dfrac{\sin A}{\sin C}$

By the definition,

$\tan A=\dfrac{BC}{AB},\\ \\\sin A=\dfrac{BC}{AC},\\ \\\sin C=\dfrac{AB}{AC}.$

Now

$\dfrac{\sin A}{\sin C}=\dfrac{\dfrac{BC}{AC}}{\dfrac{AB}{AC}}=\dfrac{BC}{AB}=\tan A.$

Option A is true.

B.

$\cos A=\dfrac{\tan (90^{\circ}-A)}{\sin (90^{\circ}-C)}.$

By the definition,

$\cos A=\dfrac{AB}{AC},\\ \\\tan (90^{\circ}-A)=\dfrac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}=\dfrac{\sin C}{\cos C}=\dfrac{\dfrac{AB}{AC}}{\dfrac{BC}{AC}}=\dfrac{AB}{BC},\\ \\\sin (90^{\circ}-C)=\sin A=\dfrac{BC}{AC}.$

Then

$\dfrac{\tan (90^{\circ}-A)}{\sin (90^{\circ}-C)}=\dfrac{\dfrac{AB}{BC}}{\dfrac{BC}{AC}}=\dfrac{AB\cdot AC}{BC^2}\neq \dfrac{AB}{AC}.$

Option B is false.

3.

$\sin C = \dfrac{\cos A}{\tan C}.$

By the definition,

$\sin C=\dfrac{AB}{AC},\\ \\\cos A=\dfrac{AB}{AC},\\ \\\tan C=\dfrac{AB}{BC}.$

Now

$\dfrac{\cos A}{\tan C}=\dfrac{\dfrac{AB}{AC}}{\dfrac{AB}{BC}}=\dfrac{BC}{AC}\neq \sin C.$

Option C is false.

D.

$\cos A=\tan C.$

By the definition,

$\cos A=\dfrac{AB}{AC},\\ \\\tan C=\dfrac{AB}{BC}.$

As you can see $\cos A\neq \tan C$ and option D is not true.

E.

$\sin C = \dfrac{\cos(90^{\circ}-C)}{\tan A}.$

By the definition,

$\sin C=\dfrac{AB}{AC},\\ \\\cos (90^{\circ}-C)=\cos A=\dfrac{AB}{AC},\\ \\\tan A=\dfrac{BC}{AB}.$

Then

$\dfrac{\cos(90^{\circ}-C)}{\tan A}=\dfrac{\dfrac{AB}{AC}}{\dfrac{BC}{AB}}=\dfrac{AB^2}{AC\cdot BC}\neq \sin C.$

This option is false.

8 0

2 years ago

Read 2 more answers

A town has a small zoo. These two lists show information about the zoo.

Natasha_Volkova [10]

Answer:

For which list does the total number have meaning? (What to see at the zoo)

For the list of facts it (does not) make sense to add the cost of a past, the area and the employees because these quantities (cannot) be expressed using the same unit. The number of 168 (does not) have meaning for the list

Step-by-step explanation:

Area is usually described in square feet while a population has no unit and a price is described in dollars therefore the list of facts has no meaning ( i got this question correct)

7 0

2 years ago