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

Hey I need some help here!
6x +2 (5x -6)

Answers

Answer:

1 6  −  1 2

Step-by-step explanation:

im pretty sure :OO if it's wrong im sorry :((

Final question please almost done

Answers

Answer:

ill say 75.00

Step-by-step explanation:

Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is the least number of marbles that Betsy could get?

Answers

Answer:

23 marbles

Step-by-step explanation:

Number of children = 10

Number of marbles = 180

Since Betsy gets the most and no 2 children gets the same number of marbles

The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each

That is :

Betsy = x

9th child = x - 1

8th child = x - 2,... 1st child = x - 9

Hence,

(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180

10x - 45 = 180

10x = 180 + 45

x = 225 / 10

x = 22.5

x = 23

Hence, the least Betsy could get is 23 marbles

help me i need a 67 atleast because i need to get good grade!!11111!!!!!11

Answers

Answer:

$0.02

Step-by-step explanation:

20/1,000 = 0.02

Cara has driven one-fifth of the total distance, d, to her destination.


Which statement explains why both 1/5d and 0.2d can find the distance she has driven?




Multiplying by 1/5 is the same as multiplying by 20%.

Multiplying by 1/5 is the same as multiplying by 2%.

The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.

The expressions are not equivalent.

Answers

Answer:

I dont even know man I wish I knew too

Q
+
O
Write the equation of an absolute
value function that is reflected
across the x-axis, shifted 5 units to
the left, and vertically stretched by
7.

Answers

Answer:

Q + O equals œ

Step-by-step explanation:

Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1.2m) represents the to

Answers

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

[tex]Weekdays = \$m /hour[/tex]

[tex]Weekends = \$1.2m/hour[/tex]

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

[tex]m = 1\ hour[/tex]

Multiply both sides by 9

[tex]9 * m = 1\ hour * 9[/tex]

[tex]9 m = 9\ hours[/tex]

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

[tex]1.2m = 1 \ hour[/tex]

Multiply both sides by 3

[tex]3 * 1.2m = 1 \ hour * 3[/tex]

[tex]3(1.2m) = 3 \ hours[/tex]

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

hey its me againnnnnnn i need some help here =v=

Answers

Answer:

Step-by-step explanation:

42 square units

so like imma ask dis one more time

Answers

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

Please help I’ll give brainliest if correct

Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2

What is the value of g(f(2))?
A. -6

B. 2

C. 19

D. 31

Answers

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

f(x)= 4x³ – 10 g(x) = 3x - 4 /2

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute.


A. about 30 min

B. about 26 min

C. about 44 min

D. about 24 min

Answers

Answer:

b

Step-by-step explanation:

Terri has a tepee. The tepee has a diameter of 9 feet and a height of 6 feet. What is the volume of the tepee to the nearest foot?

Answers

Answer:

yuop

Step-by-step explanation:

sdfghmnfv tnymu nhghbergfhthetdhtrsdfbgtgtsghrt

45 is 26% of what number? Round to the nearest hundredth if necessary.

A. 11.7

B. 173.08

C. 1.73

D. 0.58

Answers

D I think .................

Write the equation of the line in slope-intercept that has passes through the points and (5,-9). (-8, 4)​

Answers

Answer:

y = -x - 4 and/or x + y = -4

Step-by-step explanation:

(x,y) is helpful

Solve the equation for m. Show your work on the canvas. Move -n by using opposite operation. Then just write the equation as is. This is a one step equation. 4=m−n

Answers

Answer:

m = 4+n

Step-by-step explanation:

Given the expression 4 = m-n, we are to make m the subject of the formula

From the equation

4 = m-n

Rearrange

m-n = 4

Add n both sides of the equation

m-n+n = 4+n

m+0 =4+n

m = 4+n

Hence the expression for m is given as m = 4+n

EASY I'LL GIVE BRAINLIEST!!!!
Write an equation in two variables that shows the relationship between the time(t) and the distance(d) travelled.

Moves right 2 meters
every 3 hours.

Answers

Answer:

d= 2/3t

Step-by-step explanation:

Pls help and show workings due ASAP

Answers

Answer:

A

Step-by-step explanation:

By triangle inequality,

L < 15+6

15 < L+6

6 < L+15

Solving these, we get 9 < L < 21.

Only 10 falls within the range.

The answer is therefore 10cm i.e. A.

Question is in picture below

Answers

[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

help me plz this is my last question finally! will mark brainliest

Answers

y equals 7
it’s a 90 degree angle, subtract 13 from 90 and then divide by 11

Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) ​ 8(8+4) 32(2)+1 ​ 32(2+1) ​

Answers

Step-by-step explanation:

Since 64 = 32 * 2 and 32 = 32 * 1,

64 + 32 = 32(2 + 1).

16(4 + 2) is wrong as 4 and 2 have a GCF of 2.

8(8 + 4) is wrong as 8 and 4 have a GCF of 4.

32(2) + 1 is the wrong application of the distributive property.

Answer:

64+32=32(2+1) is greatest common factor

Suppose you have $344.25 and you spend $6.75 per day on lunch.

Part 1: Write an equation to represent the amount of money you have after, d, days of buying your lunch. Let A = the amount of money left in your account after d days. Explain why your equation makes sense. (What do any numbers in your equation mean?)

Part 2: How many days does it take for you to have no money left for lunch? Explain how you calculated this.

Remember that you must show all work and fully explain your thinking on the problem.

Answers

Answer:

Part 1: $344.25 -$6.75(d) = A

This equation I have made makes since because 344.25 represents the money I have now. If I were to spend 6.75 * d days, that would give me the total money left in my account after how many number days.

Part 2: $344.25/$6.75 = 51

It would take 51 days for me to have $0.00 in my account. I know this because I divided the total money I have in my account by how much I spend on lunch everyday. Knowing this, I know how many days it'd take for me to have $0.00

Step-by-step explanation:

Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12

Answers

I’m thinking it’s C.

What is the measurement of Angle JKL? *
What is MLJKL? Enter your answer in the box
(2x + 5)
(3x - 6)
M
L

Answers

Answer:

Option (1)

Step-by-step explanation:

From the triangles given in the picture,

Since, JK ≅ KL [Given]

JM ≅ ML [Given]

KM ≅ KM [Reflexive property of congruence]

ΔJMK ≅ ΔLMK [SSS property of congruence]

Therefore, ∠JKM ≅ ∠LKM [CPCTC]

(2x + 5) = (3x - 6)

3x - 2x = 5 + 6

x = 11

m∠JKL = m∠JKM + m∠LKM

            = (2x + 5) + (3x - 6)

            = 5x - 1

            = 5(11) - 1

             = 54

Option (1) will be the answer.

what is the missing term of ..9, __ , 19

Answers

Answer:

The answer could be anything, but if it's an arithmetical sequence, then it's 14.

Step-by-step explanation:

I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.

I was distracted
And in traffic
I didn't feel it
When the earthquake happened
But it really got me thinkin'
Were you out drinkin'?
Were you in the living room
Chillin' watchin' television?
It's been a year now
Think I've figured out how
How to let you go and let communication die out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling and I'd hold you tight
And there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
Right?
If the world was ending
You'd come over, right?
Right?
I tried to imagine
Your reaction
It didn't scare me when the earthquake happened
But it really got me thinkin'
That night we went drinkin'
Stumbled in the house
And didn't make it past the kitchen
Ah, it's been a year now
Think I've figured out how
How to think about you without it rippin' my heart out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I'd hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
If the world was ending
You'd come over, right?

Answers

Answer:

Yes

Step-by-step explanation:

Yes

A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?

Answers

Step-by-step explanation:

A computer software company models its profit with the function :

[tex]P(x) = x^2 + 15x -34[/tex] ....(1)

Where

x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.

We need to find the number of games the company sell to get $16,000 in profit.

Put P(x) = 16,000 in equation (1).

[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]

Using quadratic formula with a=1, b=15, c=-16034.

[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]

Neglecting negative value,

No of games = 134 (approx)

Write the equation of the line in slope-intercept that has passes through the points and (4, -8). (-3, 27) ​

Answers

Answer:

It's y = -5x + 12 and/or 5x + y = 12

Step-by-step explanation:

(x,y) is really helpful

*I believe that I'm correct, but I would recommend a quick double-check (just like any other math-related question)

pls help asap will give brainliest

Answers

Answer:

270.5

Step-by-step explanation:

*sigh* here we go again ok

separate it into a rectangle and semicircle

12*16=192

circle is pi(r)^2/2   so

5^2=25

25*3.14=78.5

78.5+192=270.5

Can someone help me with this?​

Answers

The answer is C!! Hope this helps!!!:))))

(x+y)^4 I am trying to simplify this problem and am kinda confused by it​

Answers

Answer:

This is already as simple as it will get.  You could expand it though.  In that case you'd get:

(x + y)⁴

= (x² + 2xy + y²)²

= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

=  x⁴ + 4x³y + 6x²y² +4xy³ + y⁴

But this doesn't simplify at all.

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