35 km
21 km
b
What is the length of the missing leg?
b =
kilometers

Answers

Answer 1

Answer:

28 km

Step-by-step explanation:

One leg = 35 km

Second leg = 21 km

We need to find the length of the missing leg. Using Pythagoras theorem, we  can find it.

Hypotenuse² = base² + perpendicular²

[tex]x=\sqrt{35^{2}-21^{2}}\\\\x=28\ km[/tex]

So, the length of the missing leg is equal to 28 km.


Related Questions

4.364923697 in radical form

Answers

Answer:

i hope u can round other wise its this 4   3649237 / 10000000

Step-by-step explanation:

the dash is the fraction symbol

What is an equation of the line that passes through the points (--8, 0) and (8, 4)?

Answers

Answer:

equation of a line =(y2-y1)/(x2-x1)=(4-0)/(8--8)=4/16=1/2 is your answer.

The question is in the png

Answers

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!

Solve the system by substitution.
5x + 9y = 21
-6y = x

Answers

5(-6y) + 9y = 21
-30y + 9y = 21
-21y = 21
divide both sides by -21.
y = -1

Answer : y = -1

Pleasseee I’ll give BRAINLIEST

Answers

Answer:

It’s the third option

Step-by-step explanation:

Cuz 4^2 - 2^2 equals the third option

IM GIVING BRAINLIEST!!!PLEASE HELP!!!I JUST KNOW ITS NOT A!!!

Answers

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

Isaac has a points card for a movie theater. He receives 45 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket.

Answers

Answer: 10 visit

Step-by-step explanation:

Given

45 Points earned by signing up

11.5 points earned for each visit to the theatre

160 points are needed for a movie ticket

Suppose, after x visit he gets enough points to buy a movie ticket

[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]

So, after 10th visit, he earns a movie ticket

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.

Answers

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

what two numbers is the square root of 23 between?

Answers

Answer:

23 lies between. 16 and 25

What two numbers multiply to get 3 and add to get 6

Answers

Answer:

3

Step-by-step explanation:

Which of the following properties is always true for a parallelogram

Answers

Answer:

C,

Step-by-step explanation:

This is because in a parallelogram the opposite angles are supposed to be congruent showing that when you draw line from opposite ends of the angles they will bisect at the middle of the parallelogram.

If you don't understand my explanation, you can comment and I make it more clear.

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

8) 50°, 50°, 130°, 130°10) 120°

Step-by-step explanation:

Ex 8

Adjacent interior angles of a parallelogram are supplementary

Let the small angle is x, the other angle is:

2x + 30°

The sum of two angles is 180°

x + 2x + 30° = 180°3x = 150°x = 50°

The angles are 50°, 50°, 130°, 130°

Ex 10

Sum of interior angles of a pentagon is:

S = 180°(5 - 2) = 540°

Two of the angles are supplementary, so they sum to 180°

The sum of the remaining 3 angles is:

3x = 540° - 180°3x = 360°x = 120°

Each of the congruent angles is 120°

no hosting link just a simple answer to my question. please help only if you want a brainliest thank you.

Answers

Answer: 5

Step-by-step explanation:

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4W = 25

Step-by-step explanation:

The hanger is balanced, so each side must have the same quantity.

There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.

Answer:

We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:

We can form the equation:

4w = 25

w = 6.25

If u need anymore help understanding let me know :)

hope this helps :0

Step-by-step explanation:

What is the smallest perfect square ​

Answers

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.

Answers

Answer:

9.42 cubic inches

Step-by-step explanation:

We are to find the volume of the cone.

The formula is given as:

1/3πr²h

From the question,

Diameter = 3 inches, Radius = D/2 = 3/2

r = 1.5 inches

h = 4 inches

Hence, the volume of the cone =

1/3 × π × 1.5² × 4

= 9.42 cubic inches

Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Answers

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

A person invested $140 in an account growing at a rate allowing the money to double
every 15 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $280?

Answers

Answer: 15 years

Step-by-step explanation:

$140 doubled is $280 which happens every 15 years

Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.

His rent, electricity and labor costs for his store each week is $1850.00.

He sells each cupcake for $5.50.

What is the minimum number of cupcakes needed to make a profit?


337



359


360


5286

Answers

Answer:

360

Step-by-step explanation:

An experienced carpenter could build a house in 4 days. How much would he have finished if
he worked for 3 days?

Answers

Answer:

Percentage: 75%

Fraction: 3/4

Step-by-step explanation:

can i please have help thank you

Answers

Answer:

37

Step-by-step explanation:

10x40 = 400

2(39+42)+ 40 x 4 + 41 + X = 400

162 + 160 + 41 = 400 - X

400 - 363 = X

X= 37

Answer:i dont know sr

Step-by-step explanation:

NO SCAMMERS!!!! I WILL REPORT! MAX POINTS!!!!! ARCS & ANGLES NEED TO KNOW HOW TO DO IT. ANSWERS ALSO VERY MUCH APPRECIEATED !!!FRESHMAN CLASS GEOMETRY!!!

Answers

Answer:

[i] 12x + 5 = 1/2(83 +95)

12x + 5 = 89

12x = 84

x = 7.

[ii] 9x + 7 = 1/2(198 + 7x - 8)

18x + 14 = 198 + 7x - 8

11x = 176

x = 16.

[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)

30x16 21x + 20

9x = 36

x = 4.

[iv] 20x - 4 = 360 - 2 × 72

20x = 220

x=220/20=11°

[v] 13x - 1 = 2(6x + 11)

13x - 1 = 12x + 22

x = 23.

[vi] 46 = 1/2(21x-5-x-23)

20x2892

20x = 120

x = 6.

[vii] 6x - 21 = 1/2(13x - 3-3x - 11)

12x - 4210x - 14

2x = 28

x = 14.

[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)

4x + 2 = 5x - 7

x = 9.

[ix] 9x - 4 = 180 - 76

9x - 4 = 104

9x = 108

x = 12.

Solve the following quadratic equation for all values of x in simplest form.
(x – 4)^2 – 47 = 32

Answers

Answer:

x=4-√79, x=4+√79

Step-by-step explanation:

Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?

The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?

Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?

Answers

Yes he is in the car with him he said yes yes I got him a

The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.

What is Percentage?

Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Initial amount, P = $250

Rate of interest, r = 4% = 0.04

Interest amount = P × r × t, where t is the number of years = 1 here.

                          = 250 × 0.04 × 1

                          = $10

28% of the total fundraising goal = $700

Let x be the total fundraising goal.

28% × x = 700

0.28x = 700

x = 700 / 0.28 = $2500

Total number of students = 650

Sameer scored better than 78% of all students.

Number of students that Sameer scored better = 78% × 650

                                                                               = 0.78 × 650

                                                                               = 507

Hence all the answers are found.

Learn more about Percentage here :

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how do you write length is twice the width as an expression. ​

Answers

Answer:

width=x

length =2x.....

Answer:

l = 2w

Step-by-step explanation:

note:

l = lenght

w = width

so lenght  is 2 times width is -

l = 2w

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

Step-by-step explanation:

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.

SCALE FACTOR ABE TO ACD

Answers

Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75

x= 24[tex]\frac{1}{2}[/tex] or 24.5

Step-by-step explanation:

12+16=28

12+9=21

x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]

x= 14(17.75)=24.5

ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]

ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]

The donut shop sells mini an extra large sizes for each flavor of donut they make. Today they are making powdered sugar glaze chocolate coconut and jelly filled donuts. If Karynah wants to buy one donut how many choices that she have?

Answers

5 I think because there is
Powdered sugar
Glaze
Chocolate
Coconut
Jelly

Express the first quantity as a percentage of second quantity $45, $120.

Answers

Answer: 37.5%

Step-by-step explanation:

Percentage = Given Quantity/Total Quantity*100

So here, it will be like: 45/120*100

                                    =0.375*100

                                    =37.5%

PLEASE ANSWER QUICKLY

Robert's yacht holds 70 passengers. Each hour he stops at the marina to let some passengers off and on. The scatter plot shows how many passengers are on board during each hour of boating
write an equation in slope intercept form for the line that is drawn
use the equation to make a conjure about how many passengers will be on the boat at hour six

Answers

Answer:

65 passengers

At hour six, about 54 passengers will be on the boat.

What is the line of best fit?

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Sum of X = 15

Sum of Y = 195

Mean X = 3

Mean Y = 39

The sum of squares (SSX) = 10

The sum of products (SP) = 50

Regression Equation = ŷ = bX + a

b = SP/SSX = 50/10 = 5

a = MY - bMX = 39 - (5*3) = 24

ŷ = 5X + 24

When x = 6,

we get ŷ = 5(6) + 24 = 54

Therefore, the approximate number of passengers is 54.

To learn more about the line of the best fit;

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