A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.
Show how you know.

b. Find the length of the hypotenuse of the triangular lot.
Show how you know.

Answers

Answer 1

Answer: a) 71.01408311ft

b)82ft

Step-by-step explanation: Definition of 30-60-90 degree triangle, "a right triangle in which the angle measure 30-60-90 degrees. The hypotenuse is twice the shorted leg and the longer leg is square root of 3 times longer than the shorter."

a) x √3 = 41 √3 = 71.01408311

b) 2x = 2(41) = 82 ft


Related Questions

which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST !!!

Answers

Answer:

II and III

Step-by-step explanation:

I...

-9 - 5x > -1

-9 - 5(2) > -1

-9 - 10 > -1

-19 > -1

FALSE

II...

-9 - 5x > -1

-9 - 5(-5) > -1

-9 + 25 > -1

16 > -1

TRUE

III...

-9 - 5x > -1

-9 - 5(-10) > -1

-9 + 50 > -1

41 > -1

TRUE

Best of Luck!

Answer:

II. and III.

Step-by-step explanation:

-9 - 5x > -1

I. 2

-9 - 5(2) > -1

-9 - (10) > -1

-19 > -1

- 19 is not more than -1, thus I. is not an option

II. -5

-9 - 5(-5) > -1

-9 + 25 > -1

16 > -1

16 is more than -1, thus II. is an option

III. -10

-9 - 5(-10) > -1

-9 + 50 > -1

41 > -1

41 is more than -1, thus III. is an option

G
Which fraction is equivalent to 6?
12 / 2
3
2 2+1 3
7, because
6 6+17
mo
2 1 1 3
because 6 - 3 and
39
2 /
3
12
2 1
because =
6 3 and
2
nd 3 -
3
12
2 1
8.
because 6 2
2+1 3
6+28

Answers

Answer:

what is the question

Step-by-step explanation:

i don't understand what you're trying to say

if f(x)= 4x+1 find f(3)

Answers

Answer:

13

Step-by-step explanation:

f(x)=4x+1

f(3)=?

f(3)= 4(3)+1= 12+1=13

Answer:

13

Step-by-step explanation:

x convert to 3

f(x)= 4(3)+1

f(x)= 12+1

f(x)= 13

I am not sure with the answer though, I just tried. I hope it helped you. ❤

The quarter note is the note with the shortest duration.
True
False

Answers

Answer:

false

Step-by-step explanation:

A 256th note is known as a demisemihemidemisemi quaver

Answer:

False

Step-by-step explanation:

because its not the shortest there are another

(1,0) (2,1) put into standard form

Answers

Answer:

(1,0) (2,1) = (0) (2,1) = (0) (2) = 0

Step-by-step explanation:

1,0 is multiplication which would be 0 and the same applies for 2,1 which would be 2. 0 x 2 is 0 you know it's multiplication because there's no symbol between the parenthesis.

Gabe and Gabriella must write expressions equal to 8(3 + 5). Gabe wrote 8(5 + 3). Gabriella wrote 8(3) + 8(5). Which statement is true about these expressions?

A. Gabe used Distributive Property
B. Gabe used Associative Property
C. Gabriella used Distributive Property
D. Gabriella used Associative Property

Answers

I think the answer is C.I’m not sure let me know what you get .

Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend

Answers

answer:

Juanita spent 1 1/2 times as much as Jared, how much did she spend?

$63

explanation:

one and a half of 42 is: 63

so,

the answer is Juanita spent $63!

Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.

What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How are mixed fractions written?

Follow these procedures to convert an incorrect fraction to a mixed number:

Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.

Given: Jared spent $42 on a cell phone.

We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.

So,

42(3/2) = $63

Therefore, Juanita spent $63 which is  3/2 amount spent by Jared in buying the cell phone.

Learn more about mixed fraction here:

https://brainly.com/question/414559

#SPJ2

which number is the additve inverse of -5

Answers

Answer:

Additive inverses add to 0. The additive inverse of a number is the opposite of the number.

50 Points, Will mark brainliest!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.

m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘

Answers

Answer:

m∠ACD = 50°

m∠BDC = 160°

Step-by-step explanation:

From the picture attached,

Two parallel lines AC and BD are intersected by a transversal line.

Angles formed ∠ACD and ∠BDC are the consecutive angles.

By the theorem of consecutive interior angles,

m∠ACD + m∠BDC = 180°

(5x + 25)° + (25x + 35)° = 180°

30x + 60 = 180

30x = 180 - 60

30x = 150

x = 5

Therefore, m∠ACD = (5x + 25)

                                 = 5(5) + 25

                                 = 50°

And m∠BDC = (25x + 35)°

                      = 25(5) + 35

                      = 125 + 35

                      = 160°

00:00
The numbers below follow a pattern.
0.007
0.07
0.7
7
Part A
What are the next two numbers in the pattern? Drag the numbers in the boxes.
70
700
7000
70000
0.007
0.07
0.7
7

Answers

Answer:

0.7 and 0.07

Step-by-step explanation:

0.7 and 00.7 hop this helped :)

Maria incorrectly placed the decimal
point when she wrote 0.65 inch for the
width of her tablet computer. What is the
correct decimal number for the width?

Answers

Answer: 6.5 inches

Step-by-step explanation:

this measurement makes the most sense for the width of a tablet computer

2 ( 3x + 1 ) = x - 8

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

6x + 2 = x-8

6x - x = -8 -2

5x=-10

x=-2

Note that common skills are listed toward the top, and less common skills are listed toward the bottom. According to O*NET, what are common skills needed by Nursery and Greenhouse Managers? Check all that apply. programming management of personnel resources repairing speaking coordination technology design monitoring installation

Answers

Answer:

management of personnel resources, speaking, coordination, and monitoring

Step-by-step explanation:

:)

Answer:

1 4 6

Step-by-step explanation:

Aaron can buy 4 tickets for $33. How much will it cost for 11 tickets?​

Answers

Answer:

$90.75

Step-by-step explanation:

$33 dollars divided by 4 tickets is $8.25 (original price) so then $8.25 x 11 is $90.75

whats 62.7×2.45......?

Answers

Answer:

153.615

Step-by-step explanation:

62.7 × 2.45=153.615

Review the proof of de Moivre’s theorem (not in order).

Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?

steps B and C
steps B and D
steps C and D
steps C and E

Answers

Answer:

steps B and D

Step-by-step explanation:

the correct chart is below :)

The steps which must be switched to put the proof in order are steps B and D

Since [cos(θ) + isin(θ)]k + 1

= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1

= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]

= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]

= cos(kθ + θ) + isin(kθ + θ)

= cos[(k + 1)θ] + isin[(k + 1)θ]

Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.

So, steps B and D must be switched.

The steps which must be switched to put the proof in order are steps B and D.

Learn more about De Moivre's theorem here:

https://brainly.com/question/11889817

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from City A to City B is 100 miles. The distance from City A to City C is 110 miles. Find the distance from CIty B to City C. Distance= __________miles

Answers

Answer:

144.66

Step-by-step explanation:

So here we use the Pythagorean theorem assuming that city b to c is the longest distance so we do 100^2+110^2=22100 then the square root 22100 which is approximately 148.66

Time and then should be ur answer

Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll.. ​

Answers

yeeeeeeeeeer eeee ee e e we. we e e we e e eeeee e e e e e e e e e e e

Answer:

we're no strangers to love

Step-by-step explanation:

you know the rules, and so do I

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SAT SCORE :

421

375

585

693

608

392

418

484

725

506

613

706

366

GPA:

2.93

2.87

3.03

3.42

3.66

2.91

2.12

2.50

3.24

1.97

2.73

3.88

1.58

Using the online linear regression calculator ; the regression model obtained is :

ŷ = 0.00345X + 1.00301

0.00345 = slope or gradient

1.00301 = intercept ; where the regression line crosses the y axis

X = independent variable or predictor variable ; y = dependent variable or predicted variable

so far 72 % of 300 tickets have been sold for the concert. How many tickets have been sold?

Answers

Answer:216 tickets

Step-by-step explanation

Your god mother is baking a cake for your Halloween
party. She has a giant cake pan makes a cake four times
the size of any regular cake. The giant cake needs five
cups of flour. How many cups does a regular size cake
need?

Answers

Answer:

2

Step-by-step explanation:

Divide 4 into an even number, so its 2.

Answer:

1.25 or 1 and 1/4th

Step-by-step explanation:

you have to divide the cups of flower by the size of the pan

Which statement correctly describes the expression ( - 15)3?

Answers

Answer: One factor is positive and one is negative, so the product will be negative.

Answer:

One factor is positive and one factor is negative, so the product will be negative

Step-by-step explanation:

If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.

5. If three times a number is increased by 4, the result is -8.

Answers

False

I think that’s right because three times 5 is 15 increased by four is 19 not -8 so...

Step-by-step explanation:

Hey there!

Let the unknown number be x. Then;

According to the question;

3x+4= -8

3x = -12

x = -12/3

Therefore, x = -4

Check:

3*-4 +4 = -8

-12+4 = -8

-8= -8 (True).

Hope it helps...

Someone Help Me Please. ?

Answers

Answer:

I’m guessing number 3

Step-by-step explanation:

Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero

Answers

Answer:

D: Line M is a horizontal like with a slope of zero

Step-by-step explanation:

A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.

Therefore, we can rule out A and B.

A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.

Therefore, C is wrong and D is our answer.

Let's first find the slope of the line.

We can do this using the slope formula.

m = y₂ - y1 / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have 9 - 9 / -1 - (-5).

So we have 0 / 4 which is 0.

So the slope of our line is zero.

We can eliminate any choices that say the slope is undefined.

Now, if we have a slope of zero, the line is flat or horizontal.

So we know line M has to be a horizontal or flat line with a slope of zero.

So our answer is D.

Find the equation of a line that contains the points (7,3) and (−7,2). Write the equation in slope-intercept form, using fractions when required.

Answers


Answer: Y=1/14x+5/2
Explanation: find the slope of the contains point first by using the slope formula. Then use the point slope formula to find the slope intercept.

The points on a scatterplot increase rapidly. You run a linear regression on

the data. The residual plot shows a pattern, and is low.

Which of these methods would likely result in a better model of the data?

A. Run a quadratic regression on the data and then linearize the data.

B. Linearize the data by taking the log of the response variable, and

then run a linear regression.

C. Linearize the data by taking the logs of both variables, and then

run a linear regression.

D. Linearize the data by taking the log of the response variable, and

then run an exponential regression.

Answers

Answer:

B

Step-by-step explanation:

The method that would most likely result in a better model of the data is to :

Linearize the data by taking the log  of the response variable, and then run a linear regression.

A linear regression can be expressed as

[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]

The linear regression is applied  to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.

Answer:

B

Step-by-step explanation:

2(x + 1) = −2
writ this down on a piece of paper

Answers

Answer:

X= -2

Step-by-step explanation:

Estimate the average time spent picking one's nose in minutes per day

Answers

Answer: 2 minutes

Step-by-step explanation:

According to the book, ''Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin'', on average, everyone picks their noses for 2 minutes each day.

This figure is simply a reasonable compromise between the least and highest amount of time that people can spend picking their nose in a day as well as the assumption that everyone does it.

Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?

Answers

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

Other Questions
Now, therefore, by virtue of the authority vested in me asPresident of the United States, and Commander in Chief of theArmy and Navy, I hereby authorize and direct the Secretary ofWar, and the Military Commanders whom he may from time totime designate, whenever he or any designated Commanderdeems such action necessary or desirable, to prescribe militaryareas in such places and of such extent as he or the appropriateMilitary Commander may determine, from which any or allpersons may be excluded....-President Franklin D. Roosevelt, Executive Order 9066, February19, 1942Which constitutional right was most directly violated by this executive order?Freedom of speechBFreedom of religionCRight to bear armsDRight to equal protection Help): In which situation is it better to have low friction?Choose the correct answer.a skydiver uses a parachutea student walks down a hallwaya ladder leans against the walla hockey puck slides toward the goal A big bully is having a tug-of-war with a small child. There is a ball attached to the middle of the rope. Toward whom will the ball move? y > 3x + 12x + 3y 2 6 What branch of government has been instrumental in determining Oklahoma's borders?JudicialExecutiveLegislativeAll branches have had a role. Pls help ASAP! Consider this linear function:Y= 1/2x + 1Plot all ordered pairs for the values in the domain.D: { -8,-4,0,2,6} How many lines of symmetry does this figure have?Pls help Helps me solve this problem please Which of the following is a metaphor in Animal Farm? the windmill, the wall of the barn, the woods behind the farm, the farmhouse Match the functions f(x, y, z) with the description of their gradients. No reasons needed. (a) x2 + y2 + z2 a. points radially outward from the z-axis b. points radially inward toward the z-axis c. points radially outward from the origin d. points radially inward toward the origin (b) x2 + y2 a. points radially outward from the z-axis b. points radially inward toward the z-axis c. points radially outward from the origin d. points radially inward toward the origin (c) 1/x2 + y2 + z2 a. points radially outward from the z-axis b. points radially inward toward the z-axis c. points radially outward from the origin d. points radially inward toward the origin (d) 1/x2 + y2 a. points radially outward from the z-axis b. points radially inward toward the z-axis c. points radially outward from the origin d. points radially inward toward the origin On January 1, 20X8, L Corporation acquired all of the common stock of S Company for $300,000. On that date, S Company's identifiable net assets had a fair value of $250,000. The assets acquired in the purchase of S are considered to be a separate reporting unit of L Corporation. The carrying value of S Company's net assets at December 31, 20X8, is $310,000. The fair value of the reporting unit is determined to be 260,000. Determine the amount, if any, of impairment loss to be recognized at December 31, 20X8. a. 40,000 b. 50,000 c. 10,000 d. 60,000 Label the following hypothetical demand scenarios. Use the midpoint method. Contain Yourself!, a plastic container company, raises the price of its signature "lunchbox" container from $3.00 to $4.00. As a result, the quantity sold drops from 20,000 to 15,000. .......... Economists working for the United States have determined that the elasticity of demand for gasoline is 0.5. .................. CapCityMetro decides to increase bus fare rates from $2.00 to $2.21. Consequently, the number of passengers who decide to take the bus in Austin drops from an average of 70,000 riders a day to an average of 61,000 riders a day. ............... Inelastic unit-elastic Elastic perfectly elastic Why did the builders think that the Titanic was unsinkable? 65% of what is 39? Which of the following is a true statement: Changes in landforms that affect large areas also affect living conditions. Only in certain regions by the coast landform changes affect living conditions. Changes in landforms that affect large areas do not affect living conditions. Living conditions are only affected by landforms changes created by earthquakes. 2 2/3 divided by -8/9 What was Britains attitude toward the colonies If the measure of 6 8 is 28, what is the measure of6 5 ?A 152B 118C 62D 56 1) In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?A. 18B. 30C. 32D. 42----------------------------------------------------------------------------------------------------------------------------2) It is Attached below: Which section of a CAR Residential Purchase Agreement is a provision divided into three sections: mediation, arbitration of disputes, and additional terms?