Lance walked 20 miles east and then 21 miles north to get to work. If he walked back home after work using the most direct route, how many miles would he walk on the way back? (Find the hypoteneuse of the triangular path

Answers

Answer 1

Answer:

Solution given:

perpendicular [p]=20miles

base[b]=21Mile

hypotenuse [h]=?

we have

By using Pythagoras law

h²=p²+b²

h²=20²+21²

h=√841

h=29miles

he would walk 29 miles on the way back


Related Questions

Simplify: x2/6 ⋅ x2/4

Answers

Answer:

x ^2/ 6

--------------------------------------------------------------------------

Rewrite the equation by completing the square.
x^2+ 4x = 0

Answers

Answer:

Here you go

Step-by-step explanation:

x=0,-4

Answer:

2 and 4

(i got it from khan)

PLEASE HELP I DONT UNDERSTAND I WILL GIVE BRAINLIEST

Write the equation in standard form for the given circle.

Answers

Answer:

The center is (-3,-6) and radius=4. And the equation will be:-

[tex](x + 3) {2} + (y + 6) {2} = 16[/tex]

Help me answer number 4

Answers

Answer:

45

Step-by-step explanation:

The answer is actually 45

Landon and Ella eat dinner at Billy's BBQ the cost of dinner was $25.50 they left the waiter a 20% tip. How much money did Landon and Ella leave for the tip?​

Answers

Answer:

5.10

Step-by-step explanation:

i believe it’s $5.10

It is recommended that
adults consume no more than
2,300 milligrams of sodium per
day. What is the recommended
daily maximum amount of sodium
in grams?

Answers

Answer:

The Dietary Guidelines for Americans, on the other hand, suggest restricting sodium consumption to less than 2,300 mg per day—roughly 1 teaspoon of salt!

WILL GIVE BRAINLIEST PLEASE HELP

Answers

Answer:

6 5/8

you want to solve the whole numbers and fraction parts sepreatly then combine.

Answer:

53/8

Step-by-step explanation:

[tex]16\frac{7}{8} -10\frac{1}{4}[/tex]

convert to improper fractions

[tex]\frac{7+16*8}{8} -\frac{1+10*4}{4}=\frac{135}{8} -\frac{41}{4}[/tex]

the common denominator is 8, so multiply the second fraction by [tex]\frac{2}{2}[/tex].

[tex]\frac{135}{8} -\frac{41*2}{4*2}=\frac{135}{8} -\frac{82}{8}[/tex]

subtract

[tex]\frac{135}{8} -\frac{82}{8}=\frac{135-82}{8}=\frac{53}{8}[/tex]

(8*10^(3))(4*10^(8))

Answers

Answer:

3.2 * 10^12

Step-by-step explanation:

Answer:

3.2 * 10^12

Expanded form

32000000000000

Step-by-step explanation:

Events A and B are independent. Find the missing probability.
A.9/20

B.3/4

C.1/2

D.3/40

Answers

Answer:

B

Step-by-step explanation:

It’s B double check tho!

what is x??? Please explain.

Answers

Answer:

78°

Step-by-step explanation:

when two lines intersect it creates 4 seperate angles, here it gives us 78°, and we know that the angle across from it is the same, so they equal.

X is 78 because vertical angles are congruent

Someone help me out my grade are bad

Answers

Answer:

$48

Step-by-step explanation:

all you have to do is 36 ➗ 3/4

which is equal to 48

Corresponding ______ are matching sides that are in the same position in two or more polygons.

Answers

Answer:

Corresponding sides are matching sides that are in the same position in two or more polygons .

HELP!!! this is graded and no links plss!!!

Answers

Answer:

396 mm squared

Step-by-step explanation:

(8 x 12) ÷ 2 = 48

48 x 2 = 96

10 x 10 = 100

100 x 3 = 300

300 + 96 = 396

Answer:

396 mm squared is what I see

Help pls! Will mark brainliest!!

Answers

Answer:

option B

Step-by-step explanation:

Maybe A because we’re not working with any negative numbers

En france en 1900 la taille moyennes des femmes etait de 1,54 m et celle des hommes de 1,66 m. Entre 1900 et 2010 ces tailles moyeness ont augmentes de 5,55 %

Answers

Complete question :

En France, en 1900, la taille moyenne des femmes était de 1,54 m et celle des hommes de 1,66 m. Entre

1900 et 2010 ces tailles moyennes ont augmentées d'environ 5,55%.

Calculer, en mètres, l'arrondi au centième des tailles moyennes des femmes et des hommes en 2010.​

Répondre :

Femmes = 1,63

Hommes = 1,75 m

Explication étape par étape:

Étant donné que :

Taille moyenne en 1900:

Hommes = 1,66 m

Femmes = 1,54 m

Pourcentage d'augmentation de poids d'ici 2010 = 5,55%

1 + 5,55% = 1 + 0,0555 = 1,0555

D'où,

Taille des femmes en 2010:

1,0555 * 1,54 = 1,62547 = 1,63 m

Pour la taille des hommes en 2010:

1,0555 * 1,66 m = 1,75213 = 1,75 m

I’ll give brainliest if u answer within 30 mins

Answers

Answer:

I answered

Step-by-step explanation:

solve for x.
help asap plssss

Answers

Answer:

60

Step-by-step explanation:

The outside of the circle will measure 360 all of our known values are added up to equal 240 so subtract it from 360 to get 120

Now divide 120 by half to get 60 since the outside is double the size of the inside

Hope this helps

Answer:

60

Step-by-step explanation:

Angle R is an inscribed angle so it is 1/2 of TS. Since a circle is 360 degrees, we find TS by subtracting (90 + 150) from 360 which gives us TS = 120.

x = 1/2(120) = 60 degrees

which graph represents y=^3sqrt x-5​

Answers

Answer:

4

Step-by-step explanation:

Graph 4

If the degree of a polynomial is "6" then it must have "6" zeros/solutions

true or false

Answers

Purple fox can you help me with my work as well

Answer:

False. The degree of a polynomial is the highest exponent any term is raised to

Step-by-step explanation:

The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-school program. Students are 38% likely to join the dance team; 18% likely to participate in the school play; 42% likely to join the yearbook club; and 64% likely to join the marching band. Many students choose to participate in multiple activities. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.What is the probability of the intersection of being a junior and participating in marching band?
0.39

0.16

0.73

0.89

Answers

Answer:

0.16

Step-by-step explanation:

I took the test

Which of the following options have the same value as 96%percent of 25?

Answers

Answer:

I’m pretty sure it’s A but if not then D

Step-by-step explanation:

How many triangles exist with the given angle measures?

60°, 60°, 60°

A. Exactly one unique triangle exists with the given angle measures.

B. No triangle exists with the given angle measures.

C. More than one unique triangle exists with the given angle measures.

Answers

Answer:

The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.

HERE I NEED HELP!!!!!

Answers

Answer:

Area of ¼th part of circle =¼πr²=¼×3.14×12²

=113.04in²

Area of rectangle ABCD=l×b=8×17=136in²

Area of rectangle DEFG=l×b=5×3=15in²

Total area : 113.04+136+15=264.04 =264 square inches.

Answer:

area = 263.04 in²

Step-by-step explanation:

area = (8 x 17) + (5 x 3) = (0.25 x 3.14 x 12²) = 135 + 15 + 113.04 =263.04 in²

Sarah wanted to know how many of her fellow students have at least one cat at home. She randomly sampled 30 students from her school and 11 of them answered yes. What is the approximate proportion of students who have at least one cat?
A
0.11

B
0.27

C
0.33

D
0.37

Answers

The proportion of students who have at least one cat is 0.37

The correct option is : (D)

What is fraction?

A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total students samples=30

Students answered yes =11

The proportion of students who have at least one cat

= [tex]\frac{11}{30}[/tex]

= 0.367

≈ 0.37

Hence the proportion of students who have at least one cat is 0.37.

Learn more fraction here:

brainly.com/question/10354322

#SPJ2

YALLLL PLZ HELP ASAP TY
Solve the inequality and graph the solution on the line provided.
-5 - 7x < -40

Answers

Answer:

x > 5

solid dot on the number 5 and shading to the right

Step-by-step explanation:

-5 - 7x < -40

-7x < -35

x > 5

solid dot on the number 5 and shading to the right

Which situation can be represented by the equation y = 25x + 50?
A. A repairman charges $25 to come to the house and $50 for each hour he works.
B. Tom pays $25 a month for a health club membership. He also had to pay a $50 registration fee.
C. Sally has $25 in her savings account. She plans on depositing $50 from each of her paychecks into her account.
D. A school store started the year with 25 pencils. Each month they added 50 more to their inventory.

Answers

It’s B because 25x the x represents what 25 is multiplied by and b is the only one that makes since mark me brainliest please

Please help. COS (C)=

Answers

Answer:

24/25

Step-by-step explanation:

COS = adjacent/hypotenuse

Answer:

24/25

Step-by-step explanation:

my answer is 24/25

What is the median of this data set?

40, 12, 13, 33, 25, 17, 31

Answers

It will be 33, because it’s at the middle

Answer:

You separate all this number then you put them in ascending order then you start to draw a line to get your median so our median is 25

Find the Circumference of a circle with a Diameter of 9 inches Group of answer choices 9 pi inches 9 pi inches^2 9 pi inches^3 108 pi inches

Answers

Answer: [tex]9\pi\ in.[/tex]

Step-by-step explanation:

Given

The diameter of a circle is [tex]d=9\ in.[/tex]

So, the radius is [tex]r=\frac{d}{2}=4.5\ in.[/tex]

The circumference is given by [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pi \cdot 4.5\\\Rightarrow 9\pi \ in.[/tex]

Thus, the circumference of the circle is [tex]9\pi\ in.[/tex]  

Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.

Answers

Answer:

m∠C = 72°

BA = 8.6

AC = 2.8

Step-by-step explanation:

We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:

m∠A + m∠B + m∠C = 180°

And substitute what we have:

90° + 18° + m∠C = 180°

108° + m∠C = 180°

m∠C = 72°

In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:

cos(∠B) = [tex]\frac{BA}{BC}[/tex]

cos(18°) = [tex]\frac{BA}{9}[/tex]

9 * cos(18°) = BA

BA ≈ 8.559508647

And when we round, we get:

BA = 8.6

In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:

sin(∠B) = [tex]\frac{AC}{BC}[/tex]

sin(18°) = [tex]\frac{AC}{9}[/tex]

9 * sin(18°) = AC

AC ≈ 2.781152949

We can round this to:

AC = 2.8

Other Questions
1Select the correct answer from each drop-down menu.An element has an atomic mass number of 16 and an atomic number of 7.The element has protons andneutrons.ResetNext if the length is 18 inches and the width is 24 inches what's the area A quarter has a diameter of 2.4 centimeters. What is the area of the coin (round answer to nearest tenth)? what is a decimal that is equivalent to the fraction 45/100? I dont need any help with homework but i would like to thank you all for helping me survive this school year. Brainly has helped me sm Rewrite the function f(x)=-4(x+3)2 2 in the form f(x) = ax+bx+c.?RecheckTry again Someone please help me Ill give out brainliest please dont answer if you dont know Find the lie 3 of the 4 statements are true find the false one statement Which shows the list of numbers in order from least to greatest?StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, 2, StartAbsoluteValue 3.5 EndAbsoluteValue 2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue2, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValueStartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, 2, StartAbsoluteValue negative 4.2 EndAbsoluteValue Social Security provides income to retired, unemployed, and disabled workers. Benefits are based on how long a worker was employed. The comments below are from a discussion between two speakers with different perspectives on the future of Social Security.Speaker A: Social Security is now facing a real problem. Soon the system will be paying more in benefits to retirees than it is collecting from payroll taxes. If we dont fix this situation, the system will soon have nothing left. The best solution is to stop paying benefits to retirees with high incomes. Speaker B: What you propose is unfair. Workers pay into Social Security their whole working lives. After they retire, they are entitled to receive benefits based on what they have paid into the system. Even if they have high incomes, they are entitled to benefits from their own payments.How do Speakers A and B differ?Immersive ReaderSpeaker A believes too much money is paid to rich individuals; Speaker B sees the wealthy as the main drivers of the economy.Speaker A fears Social Security will soon not have enough money to pay anyone; Speaker B feels retirees are entitled to benefits they have paid for.Speaker A would rather invest in schools than pay retirees; Speaker B believes retirees are more in need of government help.Speaker A believes the current system is unfair; Speaker B argues the system is basically fair. PLSSS HELP ME THIS IS FOR SIENCE PLLLLSSSSSThe passing of heat through a material is called ________. A. vibration B. conduction C. radiation D. convection Ksp for potassium chloride, KCl, is 21.7. A 5.0-liter container filled with otherwise-pure water, at standard temperature and pressure, contains 21.5 moles of dissolved KCl. (A) Write a chemical reaction describing the dissolution of KCl. (B) Write an equation for Ksp in terms of the reactants and products from part (A). (C) Find the solubility of KCl, in moles/liter. (D) Is the above solution undersaturated, supersaturated, or at equilibrium with respect to KCl Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help find mHK please help Matilda is practicing her marching band skills on the football field. she starts in the center if the field walks 80 feet south then 60 feet west how far is she from the center of the field where she started Im confused in the wording on this question can someone tell me how to solve it with clear steps Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83% If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches?Pls help me its due in a hour :( 3a+5b-9: a=2, b=3 that is my question I need help WILL GIVE BRAINLIEST! HELP ASAP!The solution to an inequality is x < 3.5. Which of the following statements and graphs are true? Select all that apply.