the diagram shows a right angle triangle..

The Diagram Shows A Right Angle Triangle..

Answers

Answer 1
Area of triangle = base x height x 1/2

18 = (x - 1) • (x + 4) • 1/2

18 • 2 = (x - 1) • (x + 4)

36 = (x - 1)(x + 4)

36 = (x² + 4x - 1x - 4)

36 = x² + 3x - 4

0 = x² + 3x - 4 - 36

x² + 3x - 40 = 0

(x + 8)(x - 5) = 0

x + 8 = 0 or x - 5 = 0

x = -8 or x = 5

“-8” is rejected, as length/width/height can’t be negative.


The length of the shortest side the triangle:

Short side = x - 1

= 5 - 1

= 4

Related Questions

1.02 sinusoidal graphs

Answers

Answer:

The answer is 20

Step-by-step explanation:

The wave starts at the origin and doesn't complete the cycle until unit 20.

Answer:

[tex]\displaystyle 20[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{5} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{10}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle \boxed{y = sin\:\frac{\pi}{10}x} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cos\:\frac{\pi}{10}x,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 5\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 5\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{5} = \frac{\frac{\pi}{2}}{\frac{\pi}{10}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-15, 1],[/tex]from there to [tex]\displaystyle [5, 1],[/tex]they are obviously [tex]\displaystyle 20\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 20.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

The difference of a number and 4 is no more than 8

Can someone help!?

Answers

Considering the definition of an inequality, the number must be less than 12.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that the difference of a number and 4 is no more than 8.

Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is

x - 4 < 8

Solving:

x < 8 +4

x < 12

Finally, the number must be less than 12.

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Bob, a lawyer, used to charge his clients $220 per hour Recently, he reconsidered his rates and ultimately decided to charge 30% more. Now how much does Bob charge per hour?

Answers

Answer:

The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.

Answer:

$286 per hour

Step-by-step explanation:

first we have to find out what 30% of $220 is

we do this by multiplying $220 by 0.3

We get $66

then we add the markup value to the initial value

$66 + $220= $286

bob's a scu.mbag

hope this helps chu babe <3

Mary wants to buy three tickets for a concert. She has
earned $135 and each ticket cost $50. She borrows the
rest from the bank and buys the tickets.

B) How much more money will Mary need to earn to pay
back the money she borrowed from the bank?

C) How much money will she have after she pays back
the loan she borrowed from the bank?

Answers

Answer: B: 15 Dollars

Answer: C: 0

B is the correct answer

10 grade geometry, help me pleaseeeee

Answers

Answer:

Obtuse

Step-by-step explanation:

[tex]10^{2} > 3^{2} + 9^{2}[/tex]

2. How would you say 406,762?
Four hundred six thousand, seven hundred sixty-two
Four hundred sixty thousand, seven hundred sixty-two
Forty-six thousand, seven hundred sixty-two
Four thousand, six hundred seventy-two

Answers

Answer:

A- Four hundred six thousand, seven hundred sixty-two

Hope this helps!

Answer:

A. Four hundred six thousand, seven hundred sixty-two

Step-by-step explanation:

Sound out the number before the comma first:

You would read it as four hundred six, not four hundred sixty (That would mean 460 and not 406.)

Sound out the number after the comma next:

You would read that as seven hundred sixty-two.

So combine them to say:

four hundred six thousand, seven hundred sixty-two. Choose A

Given the function f(x)= -3(x)^2 , find the value of f(4).

Answers

the value of f(4) would be -48

Step-by-step explanation:

f(x) = -3x²

f(4) = -3(4²)

= -48

For rectangle ABCD, find m∠DEC.

Answers

What is the number ?

In 2 mins., a conveyor belt moves 300 lbs. Of recycle aluminum from delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 18 mins. If both belts are used, find how long it takes to move the cans to the storage area

Answers

Answer:

1.8 minutes or 108 seconds

Step-by-step explanation:

The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute

The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.

Both belts will move at a rate of 166.667 lb per min.

So it will take them 300 / 166.667 = 1.8 min or 108 s.

Therefore, the answer is 1.8 min

Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?

(7 x 2) + 3
7 − (2 + 3)
(14 ÷ 2) + 3
14 ÷ (7 − 3)

Answers

The answer is C to get half of mayas age we first divide the 14 by 2 then we add the 3 and get our answer which is 10

Answer:

7 x 2 + 3 = 17

7 - 2 + 3= 8

14 ÷ 2 + 3 = 10

14 ÷ 7 - 3  - 1

Step-by-step explanation:

What is the slope of y=250-5x

Answers

Answer:

Step-by-step explanation:

The slope of the line is -5, and the y-intercept is 250

What the person above me said

Solve for y. 1) 5x + 4= - 4y​

Answers

Answer:

y = -5x/4 - 1

Step-by-step explanation:

PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.

Answers

-4x + 4!
The point 0,4 means that b will be equal to 4, as it’s the starting point. From there, if you go down 4 twice you have 2, and then -4.

first come first served brainiest

Answers

Answer:

1.) A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

2.) 8

3.) 201 square inches

Step-by-step explanation:

In a recent election, there were six candidates and 4700 total votes. The circle graph below summarizes the votes by candidate.
The central angle for the Bowerman slice is 36º. What percentage of the votes did Bowerman get? Do not round.

Answers

The circle is 360 degrees so,

360 degrees --> 4700 votes

36 degrees ---> x

4700*36 = 360*x

169,200 = 360*x

x= 169,200/360

x= 470

[tex] \frac{470}{4700} = 0.1 = 10\%[/tex]

6) All chords are diameters.
True
or
False

Answers

All chords are diameters: the answer is false

PLEASE I NEED HELP ASAP

Answers

1. 15x
2. 21
3. 4
You’re welcome

Mathhhhhhhhh pls help

Answers

Answer:

vertically opposite angles

Step-by-step explanation:

A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 5 ​seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between​ time, t, and​ speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answers

Answer:

A) s=32t

B) 224 ft/s

Step-by-step explanation:

A)

In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between​ time, t, and​ speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:

y=mx+c

s=mt+c

32=1m+c

c=32-m

160=5m+C

160=5m+32-m

128=4m

m=32

c=32-m

=32-32=0

So our equation is s=32t

B)

s=32t

s=32(7)=224 ft/s

Complete the proof that △FGH isn't similar to △JIH

Answers

Answer:

step 2: (FH)/(JH)=5/6

step 3: (GH)/(IH)=(FH)/(JH)

Step-by-step explanation:

this is right

The △FGH isn't similar to △JIH.

What is a Triangle?

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

Two triangles are said to be similar when the sides of both the triangle are in proportion.

Two triangles FGH and IJH are given and have to be proved that they are not similar

The step 1 is GH/IH = 10/10 = 1 ( By substituting given values)

The step 2 is GF/IJ = 8 /8 = 1 ( By substituting given values)

The step 3 is FH/HJ = 1

FH = HJ ( ( By substituting values from 1 and 2)

This is not true, FH = 5 and HJ = 6

As the corresponding sides of the triangles are not equal so they are not similar.

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JK is perpednicular to ML at its midpoint K. list the congruent segments

Answers

Answer:

MK KL JK All are congruent with each other due to the mid point splitting the segments in ML in half.

Step-by-step explanation:

A 20-N force acts on an object with a mass of 2.0 kg. What is the objects acceleration?

Answers

Answer:

10 N/kg

Step-by-step explanation:

F=ma

therefore,a=F/m

What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)

Answers

y=2/7x is the correct answer

you don't have to do all of them

Answers

Answer: lol your using canvas

1. 63

2. D

3. B

4. A

Sorry for the bland explinations havin a bad day.

Step-by-step explanation:

1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.

2. Like question one what set of angles measures to 180 degrees.

3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6

4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.

A batch of cookies was being sold at a bake sale. 25% of the cookies contained traces of tree nuts. All 60 cookies were eventually sold. How many contained traces of tree nut? QUICK

Answers

Answer:

15

Step-by-step explanation:

There were 60 cookies. 25 or 1/4 or 0.25 of them had tree nuts. 25% or 1/4 or 0.25 times 60 = 15.

Hope this helped! If it did, please mark it as brainliest! It would help a lot! Thanks! :D

Marissa went on a trip and drove her car throughout the day. The graph below shows Marissa's distance from the starting point of her trip for different segments of time

What’s the answer to this please?

Answers

Can u take a picture of the graph

A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph below shows Marissa's distance from the starting point of her trip for different segments of time.

A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

Learn more about the graphs here:

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The question seems incomplete, the missing part has been below:

A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.

B. What is Marissa's distance from the starting point at the end of her trip?

the price of milk has increased in year from rs.28 per liter to rs.32 per liter . find the percentage increase in the price....

please answer soon I really need it​

Answers

Answer:

14.28%

Step-by-step explanation:

here's your solution

=> price of milk before = 28

=> price of milk after increasing = 32

=> increased in price = 32 - 28 = 4

=> now , increased percentage= 4/28*100

=> 14.28%

WILL GIVE BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

JK is longer than JL and isn't 9 units long

A your mom is a good lady

Find the area of the shape.

Answers

Answer:

[tex] area \: of \: trapezium = \: \frac{1}{2} (a + b) \times h[/tex]

Therefore, 1/2 (9 +17)*8

Therefore, 1/2(26)*8

Therefore, 13*8

Therefore, 104

Your answer is 104ft²

A square has one
side that measures
6 inches. What is
the perimeter of
the square?

Answers

Answer:

24 inches

Step-by-step explanation:

a square has 4 equal sides. if one side is 6, the rest of the sides are also six. perimeter is all the sides added. so 6+6+6+6, or 6*4, equals 24 inches as perimeter.

Figure with four equal sides and four right (90°) angles. If a square has one side that measures 6 inches then perimeter of square is 24 inches.

What is Square?

a  figure with four equal sides and four right (90°) angles.

We know that in a square all the sides will measure equal length. So the formula for  perimeter of square is P=4a or p equal to four times of a.

Where p is the perimeter and a is the measurement of a side.

It is given that measure of one side of square is 6 inches.

So value of a is 6.

Substitue the value of a in the perimeter formula.

Perimeter=4×6

When four is multiplied with six we get twenty four.

=24 inches.

Hence perimeter of the square with one side measure 6 inches is 24 inches.

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