Help me..What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

Step-by-step explanation:

The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.

Pythagorean theorem : a² + b² = c²

Where a and b = legs and c = hypotenuse ( longest side )

We are given the length of the hypotenuse as well as a leg and we need to find the other leg.

Hypotenuse (c) = 45

Leg (a) = 36

To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b

Recall the Pythagorean theorem : a² + b² = c²

a = 36 and c = 45

(36)² + b² = (45)²

simplify exponents : 36² = 1296 and 45² = 2025

1296 + b² = 2025

subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729

b² = 729

take the square root of both sides: √(b)² = b and √729 = 27

We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27

Related Questions

The sum of two numbers is 20. One number is 3 times the other number. Find the two numbers, show your work

Answers

Answer:

5 and 15

Step-by-step explanation:

20 = 3x+x

Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.

solve the given problem

Answers

Step-by-step explanation:

the first step in my opinion would be find the norm(s) in this scenario.

100 pounds is a good norming weight.

the speed of these 100 pounds with a 10 HP motor is

50ft/30sec = 5/3 ft/s

so, then let's ask next what size of motor is needed to lift the same 100 pounds 40 ft in 40 seconds

40ft/40sec = 1 ft/s

to get the same speed as in the first case the motor need to be weaker (to move slower). and that goes by the same factor as the ratio between the 2 speeds :

5/3×f = 1

f = 3/5

10 HP × f = 10 × 3/5 = 30/5 = 6 HP

so, it takes a 6 HP motor to lift these same 100 pounds 40 ft in 40 seconds.

and now, how strong must the motor be to lift 800 pounds (= 8 times the original 100 pounds) with the same speed ?

well, 8 times

8×6 = 48 HP

so, it would take a 48 horsepower motor to lift 800 pounds 40 ft in 40 seconds.

the equation would then be

HP = p/100 × 6 = 6p/100 = 3p/50

HP = horsepower

p = pounds

the rest I cannot really answer, as I don't know your class and it's contents.

I hope I covered the topics of your class with that solution.

the pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

Factors of 2x^2-13x+21

Answers

Answer:

(2x-7)(x-3)

Step-by-step explanation:

You went to the farmer's market and bought berries for $4.50, corn for $2.50, and flower's for $ 7.50. Sales tax is 5%. What was your total bill?

Answers

Add all of them and divide by 5 :)

Answer:

total bill = $15.23

Step-by-step explanation:

4.5 + 2.5 + 7.5 = 14.5

14.5 x 0.05 = 0.725

14.5 + 0.725 = 15.225 ≈ 15.23

) Are 9:6 and 18: 12 equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

9 18

_ = _

6 12

9*2=18

6*2=12

2=2 TRUE

Easy math stuff- Geometry- **Requires big bran**

Answers

Answer:

8.2 CM

Step-by-step explanation:

ACCORDING TO THE MODEL

radius = 9*2 - 8*2

Diameter = 2 times radius

ok I cant too hard to explain because Im typing so its 8.2cm so

This graph shows the amount of (s) money in Jack's account after (w) weeks.

Which equation represents the amount of (s) money in Jack's account after (w) weeks?

Answers

Answer:

s=6w

Step-by-step explanation:

the graph goes up by 6 on the y axis for everyone one that the x moves

Answer:

Step-by-step explanation:

*PLEASE HELP*

If f(x)= 4x^2
+3 , find
f(0)

f(-2)

Answers

Answer:

f(0) = 3

f(-2) = 19

Step-by-step explanation:

f(x)= 4x^2 +3

1) f(x) = 4x^2 +3

f(0) = 4(0)^2 +3

f(0) = 3

2) f(x) = 4x^2 +3

f(-2) = 4(-2)^2 +3

f(-2) = 4(4) +3

f(-2) = 19

How i can asnwer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

Use the algebra tiles to help you solve 3x+6=12

Answers

Answer:

Step-by-step explanation:

We subtract both sides by 6 (3x=6)

And then we divide by 3 (x=2)

Hey there!

You have 3 x-tiles

6 = positive-tiles (+)

12 positive-tiles (+)

3x + 6 = 12

SUBTRACT 6 to BOTH SIDES

3x + 6 - 6 = 12 - 6

CANCEL out: 6 - 6 because it gives you 0

KEEP: 12 - 6 because it helps solve for the x-value

NEW EQUATION: 3x = 12 - 6

SIMPLIFY IT!

3x = 6

DIVIDE 3 to BOTH SIDES

3x/3 = 6/3

CANCEL out: 3/3 because it gives you 1

KEEP: 6/3 because it helps solve for the x-value

x = 6/3

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Danny buys,
1 loaf of bread for £1.20
1 bottle of milk for 70p
2 packets of cheese for £2.30 each packet
Danny pays with a £10 note.
He says,
“I should get £3.30 change.”
Is Danny correct?
You must show how you get your answer.

Answers

Answer:

Danny is incorrect.

Step-by-step explanation:

1 loaf of bread = 1.2

1 bottle of mil = 0.7

2 packets of cheese = 4.6

1.2+0.7+4.6 = 6.5

10-6.5 = 3.5

Danny is incorrect as he should be given £3.50 change instead of £3.30 change.

Can I get a simple answer

Answers

Answer:

The y-intercept of Function A is greater the Function B's.

Step-by-step explanation:

Function B's y-intercept is -5.

Function A's y-intercept is 5.

y = one-fourth x minus 6 be determined? Explain.

Answers

Answer:

Step-by-step explanation:

For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.

We will see that both domain and range are the set of all real numbers.

D = (-∞, ∞)

R = (-∞, ∞)

Here we have the function:

The first thing we need to do is find the domain.

We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.

Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).

Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.

Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.

Then the range will also be the set of all real numbers.

Please help I have semester exams :(
M is the midpoint of segment AT.
Solve for X and AM

Answers

Answer:

x=2

Step-by-step explanation:

5x=3x+4

5x-3x=4

2x=4

x=4/2

x=2

All the best for ur exams .........Mine are going on too btw.......

An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.

Answers

Where’s the graph ?

3 hours = minutes

2 hours 25 minutes. =. minutes

Answers

Answer:

180, 145

Step-by-step explanation:

There are 60 minutes in an hour, so we do 3*60=180 for the first one.

For the second one, we first find the minutes in 2 hours, which is 2*60=120. We add 120+25 and get 45.

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The equivalent expressions are ~

Question : 1

[tex] \sf \: - 3(7 + 5g)[/tex]

[tex] \sf - 21 - 15g[/tex]

[tex] \sf- 15g - 21[/tex]Question : 2

[tex] \sf \:( x + 7) + 3y[/tex]

[tex] \sf \: x + 7 + 3y[/tex]

[tex] \sf \: x + 3y + 7[/tex]Question : 3

[tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex]

[tex] \sf \dfrac{10x - 9}{45x} [/tex]

Question : 1- 3(7 + 5g)−3(7+5g)

- 21 - 15g−21−15g

- 15g - 21−15g−21Question : 2( x + 7) + 3y(x+7)+3y

x + 7 + 3yx+7+3y

x + 3y + 7x+3y+7Question : 3 2 - 1

9 5×

10× - 9

45×

To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.

There are many ways to approach this problem.

Week Miles

1 2

2 2.5

3 3

4 3.5

5 4

6 4.5

Write an equation to represent the nth term of the sequence.

Answers

Answer:

f(x)= .5x + 2

Step-by-step explanation:

Now this is not to complicated

first the constant is 2

after each day she gains .5 miles

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Let the distance travelled by Susie in any week,x be represented by y.

Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,

Initial distance = y-intercept = c = 2

Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,

Slope, m = Change in the distance = 0.5

Now, if the equation represents the nth term of the sequence, then we can write,

y = mx + c

y = 0.5x + 2

Hence, the equation to represent the nth term of the sequence is y=0.5x+2.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

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can you help with these problems please.

Answers

Answer:

ion kno

Step-by-step explanation

ssa

Help!! Ill give 100 points!

Answers

It is the 3rd one from the top

Answer:

I believe the answer would be C.

Step-by-step explanation:

First of all, the solution to the answer really is 1/20. If you figure out the decimal form of 4/5, it is 0.80, which is closer to 1 than to 1/2 and 0. The decimal form of 3/4 is 0.75, which is equally close to 1 and 1/2, being 0.25 from both. But it is closer to 1 than 0. I hope I’m right, and I hope this helps. :)

A student finds the minimum value of the function
f
(
x
)
=
x
2
−
18
x
+
85
by completing the square. What is the minimum value of the function?

85

85

4

4

−
9

− − 9

−
18

Answers

Its not possible to find the answer

Find the midpoint of PQ

Answers

Answer:

?? ?? ?? ?? ?? ?? ?? ?? ?? ??

John is a mechanic with a technical license. He has worked 40 hours at minimum wage
this week. How much is his gross wage for the week?

Answers

Answer:

$290

Step-by-step explanation:

if minimum wage is $7.25

7.25×40= 290

Solve for y.
y + 3 = 8y + 3
y =

Answers

[tex]y + 3 = 8y + 3[/tex]

Subtract both sides 3

[tex]y + 3 - 3 = 8y + 3 - 3[/tex]

[tex]y + 0= 8y + 0[/tex]

[tex]y = 8y[/tex]

Subtract both sides y

[tex]y - y = 8y - y[/tex]

[tex]0 = 7y[/tex]

Divide both sides by 7

[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]

[tex]y = 0[/tex]

There you go....

Have a great day ♡

Work out
m
and
c
for the line:
3
x
+
2
y
−
1
=
0

Answers

Answer:

M = -3/2

C = 1/2

Explanation:

3 x + 2 y − 1 = 0

-> 2y = 1-3x

y=-3/2x+1/2

so M = -3/2 and C = 1/2

Write the slope-intercept form of the equation of the line.

Answers

The slope- intercept of the line is y= x + 2. This is because for every time you go up or “rise” 1 unit you move to the right or “run” 1 unit. Therefore, 1/1 is just 1 so we can just leave this as x, however 1x would still work. Also, the line first touches the y-axis when x is 0 and y is 2. Therefore, the slope intercept is 2. So the slope intercept form of this line is still y = x + 2.

Determine the measurement of the missing angle

Answers

Answer:

Step-by-step explanation:

Find missing angle of lower triangle first

35+23=58

180-58=122

Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122

27+122=149

180-149=31

30 points.

the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?

Answers

Answer:

B = (14, 12)

Step-by-step explanation:

As you know, the midpoint is the average of the end point coordinates:

M = (A +B)/2

Solving for B gives ...

2M = A + B

B = 2M -A

B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)

B = (14, 12)

PLEASE HELP!!! this is actually english but---
what is a counterargument and rebuttal in a persuasive speech?

Answers

A counterargument simply means the acknowledgement of the standpoints that go against one's argument and then re-affirming the argument.

A persuasive speech means a form if speech where the goal of the speaker is to convince the audience to accept hai or her point of view.

A counterargument shows that a individual is capable of understanding the multiple sides that are in an argument. A rebuttal simply means a form of evidence that's presented in order to nullify the other evidences that are provided by another party.

Learn more about counterargument on:

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