The roads that connect three buildings form a right triangle. Use the image to find the distance between the library and the museum.

Answers

Answer 1

Answer:400 yards

Step-by-step explanation:Let L represents the position of library, R represents the restaurant and M represents the museum,

Since, By the given diagram,

∠MLR = 90°,

LR = 300 yd,

RM = 500 yd,

So, by the Pythagoras theorem,

By substituting the values,

Hence, the distance between library and museum is 400 yards.


Related Questions

An ellipse is represented using the equation (x+5)^2/625+(y-7)^2/49= 1. Where are the foci of the ellipse located? Check all that apply

Answers

Answer: (-29,7) and(19,7)

Step-by-step explanation:

How would you multiply a binomial using box method

Answers

Answer:

first you divide the larger number into its separate parts. Here, 23 becomes 20 and 3.

Next, you multiply each separate part — 20 x 7 and 3 x 7.

Finally, you add all the products together. 140 + 21 equals 161, the product of 23 x 7.

Step-by-step explanation:

2. Solve ABC if a = 4, c = 7, and C = 90°. Use trig functions to find the
missing angles.

Answers

Answer:

The answer is  43.9822972 rad but you could just round and put 43.98

Step-by-step explanation:

60 is 30 percent of what number

Answers

Answer:

50

Step-by-step explanation:

The solution of number is, 200.

We have to given that;

To find a number which is 30% of  number is 60.

Let us assume that,

A number is, x

Hence, We can formulate;

⇒ 60 = 30% of x

⇒ 60 = 30/100 × x

⇒ 60 = 3x / 10

⇒ 600 = 3x

⇒ 3x = 600

⇒ x = 200

Thus, The solution of number is, 600

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

Elana is programming a video game. She needs to simulate the power up that the player gets when they reach a certain level. The computer can run a program to return a random integer between 1 - 100. Elana wants the best power up to be rewarded 15% of the time. Explain how Elana can use the computer to simulate the player getting the best power up at least 2 out of 3 times

Answers

Answer:

You have to define when the power should be pushed up using the 'For' statement and let an impulse be sent to the CPU to increase power by 15%

Step-by-step explanation:

We use certain functions in writing computer programs.

For the 'For' statement ; we can define conditions. First Elana would define at what point does she want the player power to get the best power.

For example if she defines that when the player has played for 2hours return an integer 1 for instance.

This value returned will now send a pulse to the CPU to increase its power to 15%.

If the player plays for further 1hour she can define the count to be 10 and so send another pulse to the CPU to increase the processing power by additional 15%

What are the leading coefficient, constant term and degree, if any, of the algebraic expression 7^x + 2x + 1? a. leading coefficient: 2; constant term: -1; degree: 2 c. leading coefficient: 2; constant term: 1; degree: -2 b. leading coefficient: -2; constant term: 1; degree: 2 d. none, expression is not a polynomial Please select the best answer from the choices provided A B C D I TRIED AND C IS WRONG

Answers

Step-by-step explanation:

Step 1:  Answer the question

This algebraic expression is not a polynomial therefore, none of these options match except D.  The reason why it is not a polynomial is because there is a 7^x which is not a polynomial expression.  The expression needs to be expressed as a 7x^2 + 2x + 1.  Therefore, the answer is D.

Answer:  D, none

consider the word grateful. if all of the letters are used, how many ways can the letters be arranged?

a. 36
b. 720
c. 5,040
d. 40,320

Answers

Answer:

Correct option: d -> 40,320

Step-by-step explanation:

To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.

The word "grateful" has 8 different letters, so the number of arrangements of letters is:

8! = 8*7*6*5*4*3*2 = 40,320 different arrangements

Correct option: d

The sum of 5 times a number 8 and 7 is .

Answers

Answer: 47

Step-by-step explanation:

first no. : 5× 8=40

second no. : 7

sum=40+7=47

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)?

Answers

Answer:

the middle. because it'sthe intersection of the circles

Answer:

ll

Step-by-step explanation:

the middle intersection point of i  and just took the quiz

What is the mean?
97 3 0 4 7

Answers

Answer: 22.2

Step-by-step explanation: You have to add 97, 3, 0, 4, 7 and then then divide the total by how many numbers you added. So for this you would divide the total by 5

A fish and wildlife management organization uses a GIS (Geographic Information System) to store and analyze data for the parcels of land it manages. All of the parcels are mapped on a grid in which 1 unit represents 1 acre. If the coordinates of the corners of a parcel are (-8, 10), (6, 17) and (2, -4), how many acres is the parcel? a. 150 acres c. 133 acres b. 125 acres d. 167 acres

Answers

Answer:

c. 133 acres

Step-by-step explanation:

Given: coordinates of the corners of a parcel are (-8, 10), (6, 17) and (2, -4)

To find: area of the parcel

Solution:

Using heron's formula,

area of triangle joining coordinates [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is equal to [tex]\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

Let [tex](x_1,y_1)=(-8,10)\,,\,(x_2,y_2)=(6,17)\,,\,(x_3,y_3)=(2,-4)[/tex]

Area of triangle (parcel) [tex]=\frac{1}{2}|-8(17+4)+6(-4-10)+2(10-17)|\\[/tex] [tex]=\frac{1}{2}|-8(21)+6(-14)+2(-7)|\\ =\frac{1}{2}|-168-84-14|\\ =\frac{1}{2}|-266|\\ =133\,\,acres[/tex]



Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 4
C. 3
D. 7
E. 9

Answers

Answer: 3

Step-by-step explanation: if you had the histogram..... the first is 14 and the second is 14 too, but the first one you divide by 4 because there are only 4 lines, so that gives you 3.5

The second one you divide by 5

So, 14 divided by 5 is

2.8

If you round both of these you should have around 3

Therefore, the answer is 3

What point is symmetric to (2,7) on this quadratic graph?

OPTIONS

• (-5,0)
• (-2,4)
• (2,-1)
• (-6,7)

Answers

Answer:  (-6,7)

Step-by-step explanation:

Tow points, (x1, y1) and (x2, y2) are simetric in a quadratic graph when:

f(x1) = y1 = f(x2) = y2

so y1 = y2

Then if we have the point (2,7) we want to find other point that has the same value for y, this is (-6, 7)

So the correct option is  (-6,7)

Terry scored 71, 80, and 86 on his first three history tests. What must terry score on the fourth test to have a mean of exactly 80

Answers

Answer:

83

Step-by-step explanation:

You are trying to find the score that gives you a specific mean.  A mean is calculated by dividing the sum of the data by the amount of data.  Set up in this order, with x as the fourth score, to find the answer.

[tex]\frac{71+80+86+x}{4}=80\\\frac{237+x}{4} =80\\237+x=320\\x=83[/tex]

The fourth test score must be an 83.

Answer:

83

Step-by-step explanation:

Equation: 71 + 80 + 86 + x / 4 = 80

Add 71, 80, and 86 together.

237 + x = 80

Multiply 4 to both sides (cross multiplying).

237 + x = 320

Subtract 237 from both sides.

x = 83

The number of purses a vendor sells daily has the probability distribution represented in the table. Number of Purses, x 0 1 2 3 4 5 P(x) 0.35 0.15 0.2 0.2 0.03 0.07 If each purse sells for $50.00, what is the expected daily total dollar amount taken in by the vendor from the sale of purses? $1.62 $35.00 $79.30 $81.00 $162.00

Answers

Answer:

(D)$81

Step-by-step explanation:

Given that the number of purses a vendor sells daily has the probability distribution represented in the table.

Expected Value, [tex]E(x)=\sum_{i=1}^{n}x\cdot p(x)[/tex]

Therefore:

[tex]E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62[/tex]

If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses

=Expected Value X $50

=1.62 X $50

=$81

The correct option is D.

Fill in the Blank 6:15=8:_

Answers

Answer:

20

Step-by-step explanation:

how would you go about doing this

Answers

Answer:

3.4x7.6 then divide by 2

Answer:

Step-by-step explanation:

the formula of a triangle is

b * h

 2

so 7.6 * 3.4

=25.84/ 2

=12.92 cm²

Jack runs 7 tenths of a kilometre further than Whitney . How far does Jack run​

Answers

Answer:

more than witney

Step-by-step explanation:

MATH HOMEWORK HELP PLEASE I ONLY NEED 22 and 23 DONE

Answers

C. 0.42 I did this right before the pandemic


Below are two parallel lines with a third line intersecting them.

Answers

Answer:

x = 88

Step-by-step explanation:

These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary

x + 92 =180

Subtract 92 from each side

x+92-92=180-92

x =88

Answer:

[tex]88 \: \: degrees[/tex]

Step-by-step explanation:

[tex]x + 92 = 180 \\ x = 180 - 92 \\ x = 88 \: \: degrees[/tex]

Which table correctly represents these functions?

Answers

Answer:

Graph C.

Step-by-step explanation:

C works the best when you plot the points on a graph, in reference to the functions provided...

*blue is the G(x) and red is the f(x) I believe*

Have a Great Day!

PLZ HELP! I am stuck on his question.
The ages of two exercise groups at a local fitness center are listed below.
Group A: 37 36 32 41 42 36 44 45
Group B: 26 40 38 36 42 40 40 36
Which statement about the data is true?
The mean age is the same for both groups
The range of ages is greater in Group A than in Group B
The mode of the ages for both groups is 36
The median age is the same for both groups

Answers

Answer:

The median age is the same for both groups

Step-by-step explanation:

Group A:

37, 36, 32, 41, 42, 36, 44, 45

32, 36, 36, 37, 41, 42, 44, 45

Mean: (32+36+36+37+41+42+44+45)÷8=39.125

Range: 45-32=13

Mode: 36

Median: (41+37)÷2=39

Group B:

26, 40, 38, 36, 42, 40, 40, 36

26, 36, 36, 38, 40, 40, 40, 42

Mean:  (26+36+36+38+40+40+40+42)÷8=37.25

Range: 42-26=16

Mode: 40

Median: (40+38)÷2=39

Only the median in both groups are the same.

Answer:

The median age is the same for both groups

Step-by-step explanation:

I just did the Exam!

There are ten kids in a class. When any two meet, each says “hi” to the other and the answer “hi” follows. Before the class starts, how many times would one hear the word “hi”?

Answers

Answer: 20

Step-by-step explanation:

From the question, there are ten kids in a class and when any two meet, each kid says “hi” to the other kid and the answer “hi” follows.

The number hi one would hear before the class starts would be 10 multiplied by 2 because there are 10kids and 2 hi whenever the kids greet.

= 10 × 2

= 20hi

There will be 20 times the word hi would be heard

Answer:

90 times

Step-by-step explanation:

THIS IS CORRECT!!!!!!

Convert the rectangular equation x ^ 2 + y ^2 = 2 y to polar form

Answers

Answer:

Step-by-step explanation:

The main equivalence between rectangular and polar forms is

x^2 + y^2 = r^2, where r is the radius.  Next, y = r sin Ф.  Thus,

x^2 + y^2 = r^2 becomes r² = 2·r·sin Ф.

The variable r can be factored out partially:  r = 2·sin Ф

This is the polar form of x^2 + y^2 = 2y.

Comeplete the equivalent equation of -7x-60=x(2)+10x

Answers

Answer:

[tex]3 \frac{3}{ 19} [/tex]

Math money help! Seventh grade. Please help, thank y’all! <3

Answers

Answer:

ABC store

Step-by-step explanation:

The abc store shoes are 18.02

Answer:

Lo-Price Shoes

Step-by-step explanation:

(60.05×30)÷100=

1801.5÷100=

$18.015

60.05-18.015=42.035

$42.035>$38.85

Lo-Price Shoes are still cheaper even with ABC's 30% discount.

I'm dumb please help

Answers

Answer:

35 inches

Step-by-step explanation:

Regular, means that all the sides of the pentagon are the same, so you can multiply 21 * 5/3 = 35

answer the question for 10 points

Answers

D. Division and Addition

Answer:

D. Division and Addition

Step-by-step explanation:

Suppose that a​ person's peak blood alcohol level is 0.07 ​(grams per 100​ mL) and that this level decreases by 40​% each hour. ​a) What is the hourly decay​ factor? ​b) Write an exponential function ​B(x)equalsCa Superscript x that models the blood alcohol level after x hours. ​c) Evaluate ​B(2​) and interpret the result.

Answers

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

[tex]f(x) = Ca^x[/tex]

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

[tex]f(x)=0.07(0.6)^x[/tex]

Therefore, hourly decay factor is 0.6

b)

Here the hourly decay factor is 0.6

[tex]B(x)=ca^x\\\\0.07(0.6)^x[/tex]

c) Evaluate

[tex]B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g[/tex]

0.0252g or 100mL

Thus, after 2 hours the blood is 0.0252g or 100mL

Answer:

a) Hourly decay factor = 0.6

b) [tex]B(x) = 0.07(0.6)^x[/tex]

c) B(2) = 0.0252

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Step-by-step explanation:

Since the function is an exponential function, it can be modeled as:

[tex]B(x) = C (1 + r)^x[/tex]

Where the peak blood alcohol level, C = 0.07

Since the blood level decreases by 40%(0.4) every hour, r = -0.4

The hourly decay factor is given by a = 1 + r

a = 1 + (-0.4) = 1 - 0.4

a = 0.6

Therefore, the hourly decay factor = 0.6

b) The exponential function is:

[tex]B(x) = Ca^x[/tex]

Where a = 1 + r = 0.6

C = 0.07

[tex]B(x) = 0.07(0.6)^x[/tex]

c) Evaluate B(2)

Substitute x = 2 into the exponential function gotten in part (b)

[tex]B(2) = 0.07(0.6)^2\\B(2) = 0.0252[/tex]

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

The Captain has probability \dfrac{1}{2}
2
1

start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5}
5
1

start fraction, 1, divided by, 5, end fraction.

Answers

Is there a frog to this
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