Jason was given a triangle that had a side length of 10m and a hypotenuse of

15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2

.

Part A. Find Jason’s mistake and explain it.


Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.

Answers

Answer 1

Answer:

The pythagorean theorem is:

H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.


Related Questions

In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?

Answers

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

lowest common factor of 6 and 12

Answers

Answer:

36

Step-by-step explanation:

It's so obvious lollllll

Answer:

36

Step-by-step explanation:

solve the equation (x-4) (x+9) = 0

Answers

Answer:

x = 4,-9

Step-by-step explanation:

This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.

First, separate two equations. Let r be the roots of equation, therefore:

[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]

I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.

[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]

Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.

The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.

___________________

Let me know in the comment if you have any questions.

7/24*5/14*16/25
PLS HELP!!!!!!!

Answers

7/24*5/14*16*25= 1/15

The price of 40L petrol is £24, find the price of each litre.

Answers

Answer:

1.666666666666666666666666666666666666666666666666666

Step-by-step explanation:

write 9^3 x 27^2 as a single power of 3

Answers

Answer:

3^12

Step-by-step explanation:

9³=(3²)³=3^6

27²=(3³)²=3^6

So together, it is 3^12

Answer:

3^12

Step-by-step explanation:

9^3 x 27^2

Rewrite 9 as 3^2 and 27 as 3^3

3^2^3  * 3^3^2

We know that a^b^c = a^(b*c)

3^(2*3)  * 3^(3*2)

3^6   * 3^6

We know that a^b  * a^c = a^(b+c)

3^(6+6)

3^12

Pls help right answer gets brainliest

Answers

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

-------------

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

I need help please I’ll give you five stars!

Answers

The answer is no i do not agree

Dan works in the sales department for sporting goods company. Dan gets a 15% commission on every bike he sells. If Dan sold 227 bikes at $70 each, how much money did Dan make?

Answers

Y = 70x • .15
y is his total money earned.
x is how many units he sells
so if he sells 227 bikes it’s 70 • 227 which is 15,890 then times it by .15 because he makes 15% and it’s 2.383.5. so he made $2,383 50¢!

HELP please guys ................

Answers

Answer:

2nd choice

Step-by-step explanation:

im pretty sure its 1!

Identify all the obtuse angles shown

Answers

Answer:

Option D is correct.

Explanation:

An obtuse angle is an angle that has more than 90°. In the picture, we can clearly see that ∠XYZ has more than 90°. This is an obtuse angle. ∠XWZ is also more than 90°, so that angle is also classified as an obtuse angle. Hence, Option D is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Please answer with an explanation

Answers

Answer:

-2(1-2p)

Step-by-step explanation:

-7-4p-(-5)

-(-5)=5

=-7-4p+5

=5-7-4p

=-2-4p

=-2(1-2p)

a baker has 3 pounds of sugar. the baker will put the sugar into 5 canisters. each canister will get the same amount of sugar. How much sugar will be in each canister?

Answers

Answer:

3/5 or .6 grams of sugar

Step-by-step explanation:

You would just do 3/5 and get .6 Hope this helps :)

Answer:

Step-by-step explanation:

0.6 pounds

select all values equal to -4/5

Answers

Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

For each problem below put the lettered measures in order for greatest to the least

Answers

Angles can be used to estimate the side lengths of a shape.

The letters in order of greatest to least are (a), (b) and (c)

The sum of angles at side (a) is:

[tex]a = 30 + 50[/tex]

[tex]a = 80[/tex]

The sum of angles at side (c) is:

[tex]c = 50 + 90[/tex]

[tex]c = 140[/tex]

The sum of angles at side (b) is:

[tex]b = 40 + 90[/tex]

[tex]b = 130[/tex]

So, we have:

[tex]a = 80[/tex]

[tex]b = 130[/tex]

[tex]c = 140[/tex]

The smaller the base angles, the longer the side.

Hence, the letters in order of greatest to least are (a), (b) and (c)

Read more about angles at:

https://brainly.com/question/11585894

What is the volume of a cone with the height of 6 inches and the diameter of 4 inches?
A) 25.20in3
B) 25.12in3
C) 26in3
D) 25in3
Will get brainliest

Answers

A is the answer because I had the answer on I ready

What is the volume of the container

Answers

Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3

Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit

Plan Two: $12 for each gym visit.

Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?

Answers

Answer:

aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit

Step-by-step explanation:

what is the solution for x^0.5logx=0.01x^2 ?

Answers

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

What angle would you use to represent 5 blue cars out of 20 cars in total on a pie chart?

Answers

Answer:

check online for more information

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark ( 1 ) as the fraction bar if necessary.
10
(-4,8).
(-6,-4)
Answer here

Answers

Answer:

slope = 6

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line

m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6

The slope of the line given in the task content is; m = 6.

What is the slope of the line?

The slope of the line is the rate of change of the dependent variable with respect to the independent variable.

On this note, the slope of the equation is;

Slope, m = (-4-8)/(-6-(-4))

m = -12/-2

m = 6.

Read more on slope;

https://brainly.com/question/3493733

#SPJ5

Find 66.9% of 160.6. Round to the nearest thousandth.

Answers

Answer:

160 is the answer I just toke the quiz

the answer is 107.441

it's all i the picture help!! i don't remember how to solve it

Answers

I don’t know this but I need answers sorry

Find the equation of this line.​

Answers

y=3x-4
Hope this helps!

Kile’s weight is 30 pounds less than the product of Mindy’s weight and 3. Let m represent Mindy’s weight. Write an expression that represents Kile’s weight.

Answers

Let m represent Mindy's weight.Therefore, product of Mindy's weight and 3 = m × 3 = 3mKile’s weight is 30 pounds less than the product of Mindy’s weight and 3.Therefore, Kile's weight can be represent by this:[tex]3m - 30[/tex]

Answer:

3m - 30

Hope you could get an idea from here.

Doubt clarification - use comment section.

Kiles weight is m Product of m and 3 means m and 3 are multiplied.

So the expression till now

[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]

[tex]\\ \sf{:}\Rrightarrow 3m[/tex]

But the required weight is 30pounds less than it

[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]

Can someone help me with this one too

Answers

the answer is x = -2

mark me brianliest

Answer:

3(4-2P) = 6*4

12-6P=24

-6P=24-12

P= 12/-6

P= -2

how to find r in a geometric sequence calculator

Answers

Step-by-step explanation:

We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.

a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?

Answers

54 tiles.

9x12=108feet
6x4=24in
Convert 108 feet into inches which will become 1296 inches.

1296/24 will give u 54 tiles

Answer:

Step-by-step explanation:

12 inches per foot

The floor is 9(12) = 108 inches by

12(12) = 144 inches

The floor area is 108(144) = 15552 sq. In.

Each tile is 4(6) = 24 sq. in.

Need 15552/24 = 648 tiles

3,408 divided by 41

Explanation in traditional method



52 POINTS PLS HELP

Answers

Answer:

83.1219512195

Step-by-step explanation:

Hope this helps!

answer is:

83.12195

traditional method is either long division or short division

Help please? I’ll give you 5 stars!

Answers

Answer:

no

Step-by-step explanation:

No since the divisor and dividend don't change by the same factor of 10.

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