10 mi
6 mi
b
What is the length of the missing leg?
b
miles

10 Mi6 MibWhat Is The Length Of The Missing Leg?bmiles

Answers

Answer 1

Answer:

The length of the missing leg:

b = 8 miles

Step-by-step explanation:

Given

c = 10 mia = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

b = 8 miles

Related Questions

the sum of 3\4 and 18\19 is close to?

Answers

Answer:

2

Step-by-step explanation:

I'm not sure if it right but my answer was that

3x-6=7x-3
3. 6
please help!!!!!!!

Answers

Answer:

B. -9

Step-by-step explanation:

3(-9)-6/3=-11

7(-9)-3/6=-11

Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!​

Answers

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

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Q) The distance between points A(2,1) and B(2,4) is ___ units.
Please help....
And thanks... ​

Answers

Answer:

3 or (0,3)

Step-by-step explanation:

I need help putting this into simplest form.

Answers

Answer:

1/x^2-2x-8

Step-by-step explanation:

Pls help it due ASAP.
Please show workings
It due in a hour....

Answers

Answer:

C. [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

In order to find the slope knowing two points, use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line intersects.

Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for [tex]x_1[/tex], -4 for [tex]y_1[/tex], 6 for [tex]x_2[/tex], and 4 for [tex]y_2[/tex]. Then, simplify:

[tex]\frac{(4) - (-4)}{(6) - (-4)} \\= \frac{4+4}{6+4} \\= \frac{8}{10} \\= \frac{4}{5}[/tex]

Thus, [tex]\frac{4}{5}[/tex] is the slope of the line.

7x^2a+7xa^2
Find the greatest common factor

Answers

Answer:

GCF is 7xa

Step-by-step explanation:

Answer:

hCf is 7ax

plz refer to the picture

plz mark as brainliest

Students were asked to choose their favorite food.
If 4/10 the students chose pizza and 4/10 chose tacos,
what fraction chose either pizza or tacos?

Answers

Answer:

4/5

Step-by-step explanation:

Simply add the two fractions together

4/10 + 4/10 = 8/10

Then simplify

8/10 = 4/5

4/5 students chose either pizza or tacos

~And ~ again...~
A circular garden has a radius of 8 feet. What is the circumference of the garden?

Answers

D. 16pi ft

8 x 2 = 16 x pi = 16pi

simplify. enter the answer in the box. PLEASE I NEED IT ASAP

Answers

Answer:

21√7

Step-by-step explanation:

Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?

Answers

Answer:

14 and 1/4

Step-by-step explanation:

So the equation would be-

6 x 2 and 3/8

I would break this up, so

6 x 2 = 12

6 x 3/8 = 18/8

Simplify

18/8 = 9/4 = 2 and 1/4

12 + 2 and 1/4 = 14 and 1/4

Answer:

14 and 1/4

Step-by-step explanation:

2. What is the equation of the line that passes through (4, -5) and (6, -9)?
What is the standard form of y + 2 =1/2(x - 4)?
Find the slope-intercept form of the equation
of the line that passes through (-1,5) and is parallel
to 4x + 2y = 8.
What is the equation of a line with a slope 7
and a y intercept of - 10?

Answers

Ok right now I’m going home now I’m

Help me please........::.:::::::::::...:

Answers

Answer: Tuesday

Explanation: There is the biggest increase between Monday and Tuesday

I need the answer for -6p > 6

Answers

Answer:

p could be -2 or higher

Step-by-step explanation:

Answer:

p<−1

Step-by-step explanation:

-6 both sides

Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain

Answers

Answer: This is not a function

======================================================

Explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.


11. The price of a bottle of water at a store decreases from $1.65 to $1.40. Rounded to the nearest
tenth of a percent, what is the percent decrease in the price of the bottle of water?
A. 15.2%
B. 17.9%
C. 45.9%
D. 54.1%

Answers

Answer:

A. 15.2%

Step-by-step explanation:

Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.

[tex]1.65-1.40=0.25[/tex]

The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.

[tex]0.25/1.65=0.152[/tex]

And then move the decimal place over two spots (multiply by 100)

15.2

Percent decrease in the price of the bottle of water is 15.2% (Approx.)

Given that;

Older price of bottle = $1.65

New price of bottle = $1.40

Find:

Percent decrease in the price of the bottle of water

Computation:

Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = 15.2% (Approx.)

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17. The sum of four consecutive integers is at most 100. Find the integers.
and solve.

Answers

Answer:

23,24,25,26

Step-by-step explanation:

X+(x+1)+(x+2)+(x+3)= 100

4x+6=100

4x=100-6

X=94/4

X=23.5

Ads the sum is said to be AT MOST  100 SO WE WILL ROUND DOWN THE NUMBER

So x=23

X+1=24

X+2=25

X+3=26

Sum=23+24+25+26=98

98<100 so answer is correct


The model includes a new park in the center of the city. If the dimensions of the
park in the model are 9 inches by 17 inches, what are the actual dimensions of the
park

Answers

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

Help me out please please

Answers

Answer:

Answer D

Step-by-step explanation: I started from T, go from T to T'. Look at T, count 7 units to the right and that will be 7 positive. Then count 3 units down, which is -3. The translation would be (7,-3) or "D".

A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage

Answers

Answer:

1.76%

Step-by-step explanation:

Given

Original price of the book = $21

Price after sales percentage = $20.63

Discount = 21-20.63

Discount = $0.37

sale tax percentage = discount/original price × 100%

sale tax percentage = 0.37/21 × 100

sale tax percentage = 37/21

sale tax percentage = 1.76%

Hence the sale tax percentage is 1.76%

5/7-1/2= show work PLZZZZZZZZZZ HELPPPP

Answers

Answer:

3/14

Step-by-step explanation:

We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14

Determine the value of x in the figure shown.

Answers

Hope it will help you..............

What is 18=j+4 plz help

Answers

Answer:

This is fairly simple, the answer is 14.

Step-by-step explanation:

To reach this answer, you need to do order of operations. so First get rid of the 4 by doing inverse operation 18-4=j+4-4, which gets you to 14=J, thus your answer.

Please help I need it fast

Answers

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

f(x) = 4x + 3 for f(-8).

Answers

Answer:

-29

Step-by-step explanation:

plz brainliestt

Answer:

-29

Step-by-step explanation:

f(x) = 4x + 3

f(-8) = 4(-8) + 3

f(-8) = -32 + 3

f(-8) = -29

PLEASE HELP!


Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.

Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24

Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.

Answers

Answer :

The value that makes the equation true is Paula 62

Step-by-step explanation:

Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true

all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla

Sophia

a = 318

5a + 8

= 5(318) + 8

as we can see this is not equal to 318

George

For George, we substitute a for 417

That will be;

5(417) + 8

This is not 318

for Nancy

5(310) + 8

This is not equal to 318

for Hank

we have a as 136

5(136) + 8

This is not equal to 136

for Paula

5(62) + 8

= 310 + 8 = 318

we can see this is correct

for Gavin,

5(24) + 8

= 128 which is not equal to 318

The only equal value is that of Paula which is our answer

Answer:

Gorilla Weight

(pounds) Plugged into

5a + 8 = 318 True or False?

George 417  

5(417) + 8 = 318

2,093 = 318

false

Nancy 310  

5(310) + 8 = 318

1,558 = 318

false

Hank 136  

5(136) + 8 = 318

  688 = 318

false

Paula 62  

5(62) + 8 = 318

 318 = 318

true

Gavin 24  

5(24) + 8 = 318

 128 = 318

false

Step-by-step explanation:

please answer this 4 me , 50 points <3

Answers

The answers are - 5x+8y and 5(4)+2(8)=36
Explanation
To solve the equation, you would substitute x and y for 5 and 8.
-Ex: 5(4)+8(2)=36
The numbers in the parentheses get multiplied by the numbers on the outside. Making ‘5(4)’=20 and ‘8(2)’=16
So 5(4)+8(2)=36

Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm,9 cm,and 12 cm and the angles are of 30 degree,50 degrees,and 100 degrees. Danielle says that not possible.Using sides and angles, who is correct. Most helpful gets the Brainliest.

Answers

Answer:

Danielle is correct. An isosceles triangle has two angles that are the same and one that's different.

Step-by-step explanation:

Tell me if it is wrong

I would appreciate a brainliest!

Have a nice day :D

Robert gets a loan from his bank.
He agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
He also agrees to pay the loan back over a 10 year period.

How much money in total would he have paid back in 10 years?

Answers

Answer:

£10,200

Step-by-step explanation:

Simple interest = principal × rate × time

Principal = £6000

Rate = 7% = 0.07

Time = 10 years

Simple interest = principal × rate × time

= £6000 × 0.07 × 10

= £4,200

Total = simple interest + principal

= £4,200 + £6,000

= £10,200

He would have to pay back a total of £10,200 in 10 years

Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=

Answers

a = 6
b = 9
c = -10
hope this helps you!
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