PLES HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Hypotenuse = 17cm

From the question we have that,

Since this is a right-angled triangle, we can apply the Pythagoras formula:

[tex]H^{2} = C_{1}^{2} + C_{2}^{2}[/tex]

This says that the square of the hypotenuse is the sum of the square of the other sides.

From this, we can replace the variables with the actual values:

[tex](2x + 1)^{2} = (2x - 1)^{2} + x^{2}[/tex]

We can then expand the exponents to have:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}[/tex]

We can proceed to isolate x:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}\\\\4x^{2} + 4x + 1 = 5x^{2} - 4x + 1\\\\4x^{2} + 4x + 1 - 5x^{2} = - 4x + 1\\\\- x^{2} + 4x + 1 = - 4x + 1\\\\- x^{2} + 4x + 1 + 4x = 1\\\\- x^{2} + 8x + 1 = 1\\\\- x^{2} + 8x = 1 - 1\\\\- x^{2} + 8x = 0\\\\[/tex]

We can now multiply the whole equation by -1 just to have a positive [tex]x^{2}[/tex]:

[tex]x^{2} - 8x = 0[/tex]

And we can now solve it using Bhaskara:

[tex]x = \frac{-b\ \pm \sqrt{b^{2} - 4ac }}{2a}[/tex]

Replacing out values, we've got:

[tex]a = 1\\b = -8\\c = 0\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 4*1*0 }}{2*1}\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 0 }}{2}\\x = \frac{8\ \pm \ 8}{2}\\x = 0\ or\ x = 8[/tex]

Since x can't be 0 because we're talking about a drawn triangle, x can only be 8.

We can then calculate the hypotenuse based on this value:

[tex]Hypotenuse = 2x + 1\\Hypotenuse = 2*8 + 1\\Hypotenuse = 17[/tex]

Answer:

c

Step-by-step explanation:

its c because the distances from both the bank and the school are equal distance.

Answer:

15x - 30 is the ansanswer

Answer: D

Step-by-step explanation:

The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:

[tex]3x+15=0[/tex]

[tex]3x=-15[/tex]

[tex]x=-5[/tex]

Every single real 'x' value will work besides when x = -5. Therefore the answer is D

Answer:

slope is 4 or 4/1

y-int is 5

Answer:

The answer is all real numbers :)

Step-by-step explanation:

he domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=0 is a straight line perpendicular to the y-axis at point (0,0) , which means that the range is a set of one value. :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

4x+3y=(-6)

Last option

Answer:

31.50

Step-by-step explanation:

All you have to do is multiply 35 by 90% or .90

35 x .90 = 31.5

Answer:

Hope this helped and brainliest please

Step-by-step explanation:

Scientific notation is standard form.

To write a number in standard form, we use the format:

a×10^b

where 1 ≤ a < 10

a would be 2.11 in this question.

As we can see the decimal point has move 5 places to be after 2 so our b value will be 5

Our answer will be :

2.11×10^5

Hope this helped and brainliest please

Answer:

1.2 hours

Step-by-step explanation:

first im going to assume both travel at a constant speed the entire time

both motorboats travel 30 km, so emilio travels another 50 (80-30 = 50) km in 2 hours. speed = distance/time so the speed of the motorboats is 50/2 or 25km/h

divide 30 by 25 to get 1.2hours

The relation is given by the equation (z/21) = 42, then the value of the z will be 882.

The quotient means the separation of something into different parts, sharing of something among different people, places, etc.

The quotient of a number, z, and 21 is 42.

The relation can be given as

[tex]\rm \dfrac{z}{21} = 42[/tex]

Then the value of z will be

[tex]\rm z = 21 \times 42\\\\z = 882[/tex]

More about the quotient link is given below.

https://brainly.com/question/369266

Answer:

15800

Step-by-step explanation:

17600/10 =

1760

17600

-1760

15800

Answer:

Substitution

Substitution

Elimination

Elimination

Substitution

Elimination

Explanations are given below

Step-by-step explanation:

Hello!

This is because you already have a solution for a variable, y, and you can simply plug in the value of y for the second equation

The same thing as above, you already have the value of y, and you can simply plug it into the second equation.

You should use elimination because you can simply eliminate the variable y by adding the two equations, as they have the same coefficient of 3.

Same as above, simply add the two equations to eliminate x, because they have the same coefficients of 7.

You have the value for y, so simply plug it into the other equation to solve for x.

You have -2x in both equations, and subtracting the equations will eliminate the variable x, and you can then solve for y.

Answer: Two $1  Bills

Hope this helps :) If so brainliest would mean alot thanks!

Step-by-step explanation: $5 - $3= $2

$22.50

45/60 = 0.75 in hours

3.75 hours in total

3.75x6=22.5

Hope this helps!

Answer:The tax revenue Australia would generate each year is $96,054,697,991.

What is the percentage?

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

To get more about taxes visit:

brainly.com/question/509359

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Pic 1: C.

Pic 2: D.

Step-by-step explanation:

1) The sample is the number of things picked out from a population. The amount of people surveyed is the sample, so it the answer choice showing "42 residents" as the sample is among a correct option. Since C is the only one with "42" as the sample, it is the answer.

2) Boosting morale isn't a negative thing, and will ultimately make residents happier. It leans towards "yes."

Adding a machine for enjoyment also leans towards "yes", because people will then have something fun to dsitract themselves with.

Many people will have access to the machine in the lunch room. They can also have a soft drink for lunch, which adds a tasty part to their lunch. It too leans towards "yes."

In a crowded lunchroom, the soft drink machine may be crowded by many people and it could take a while to get one for yourself. It is also vulnerable to breaking from too many people using it at once. It leans towards a "No" response.

Therefore, D is the best answer.

hope this helps!

The answer is 0.06

Step-by-step explanation:

Finding Volume

25 x 12 = 300

300 x 10 = 3,000

Into Cubic yards

3,000 / 46,656 = 0.06430041152

Nearest hundredth

0.06

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of one triangle is 12 inches.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= 48 inches is the area of all the triangles.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = [tex]s^{2}[/tex]

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula [tex]s^{2}[/tex])

A = [tex]s^{2}[/tex]

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the area of the base(square) is 16 inches.

Now we add both areas together:-

48 + 16

= 64 inches^2 is the surface area, your answer is A.

Zeirah has 3 times more apples than Riya, in total they have 48 apples

consider Riya has x apples

Let the equation be:

→ so Riya has 12 apples and Zeirah has [3(12)] = 36 apples

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

contains the mathematical operations:

Answer:

12 years roughly ends in $2,817.08

Step-by-step explanation:

Answer:

Hope the picture will help you.............

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

Answer:

ST = 63

HI = 28

IJ = 21

Step-by-step explanation:

Given:  RSTUV ~ JFGHI

From inspection of the diagram, the corresponding sides are:

RS~JF

ST~FG

TU~GH

UV~HI

VR~IJ

The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.

TU = 72   and   GH = 56

⇒ TU/GH = 72/56 = 9/7

Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7

If FG = 49

⇒ ST = 49 × 9/7 = 63

If UV = 36

⇒ HI = 36 ÷ 9/7 = 28

If VR = 27

⇒ IJ = 27 ÷ 9/7 = 21

Answer:

ST = 63, HI = 28, IJ = 21

Step-by-step explanation:

Step 1:  Determine the scale

UT = 72 and HG = 56

[tex]72 / 56 = 9/7[/tex]

Step 2:  Determine ST

We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.

[tex]ST = GF * 9/7[/tex]

[tex]ST = 49 * 9/7[/tex]

[tex]ST = 63[/tex]

Step 3:  Determine HI

We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.

[tex]HI = VU / (9/7)[/tex]

[tex]HI = 36 / (9/7)[/tex]

[tex]HI = 28[/tex]

Step 4:  Determine IJ

We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.

[tex]IJ = RV / (9/7)[/tex]

[tex]IJ = 27 / (9/7)[/tex]

[tex]IJ = 21[/tex]

Answer: ST = 63, HI = 28, IJ = 21

Answer:

Step-by-step explanation:

The true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months

From the histogram (see attachment), we have the following highlights:

Using the above highlights, we can see that:

When x = 30 - 35, the value of y is

Hence, the true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months

Read more about histograms at:

https://brainly.com/question/9388601

Answer:

50 dollars

Step-by-step explanation:

Answer:

Ive got you! The answer is $50.15

Step-by-step explanation:

I used m##hway and put 20% of 250.79 so this is the answer!